That was nice. See if we can't get into this one again without screwing it. Nice in that line. There we go. Get back. Let's see if we can't get this first turn to work again. What's up everybody? Welcome back to the channel. I'm EvilRabbit. Here I'm Forza Motorsport 7 staring down that Forza Edition Z01 Camaro wide body. That car actually does meet ESTA spec with 305s in the rear running about 35 and a half, 3500, a little over 34, 3500 pounds sport tires which are the stock tires on there and it is under 800. It is running a little over 800 horsepower. It does meet ESTA spec and it gets sideways. That's for sure. So decided to hop back on the Forza Motorsport 7 since I had a lot of fun doing that Viper challenge from Alpaca the Boss. If you guys missed that episode make sure you guys check that out down in my recent videos. He challenged me to drive a V10 Viper. See if I can handle the power and I love how it handled with the spoiler in the downforce. So I made this car to see if I can use it in ESTA. So we're going to take this car out. We're going to take it do some public hoppers and see how we do in a pack with this car. It's definitely a nasty car to drive. So before we hop into a pack just to give you guys an idea on what this car is running like. We'll run a quick little run at the Short Maple Valley or maybe we'll run a quick run here at the Short Maple Valley to give you guys an idea on exactly what this car, what I've been working on with this car, how to get the suspension settings and everything I wanted to make this car handle pretty dang well. So like I said this car does meet all ESTA spec. Will I be using this car in ESTA? It's very likely I may be changing it up trying some other cars but this was one car that I was definitely intrigued in trying and it handles. So we'll see what we can. I'll show you guys what I mean. We're going to get the wheel can turned on. There we go. Quick flick of the scene change here in the Elgato software. So nice. So we're going to rip this here on Maple Valley Short and then we're going to head into some online hoppers with this car. Maybe bring that viper back out and see how we can get rid of that online hopper jitters that I always seem to get. So here we go. We're going to kick this car in. There we go. See it's pretty stable just like that viper. Very minimal corrections on my wheel. I can stay matted with the way I have it power set up. So as you can see this car handles very well just like that viper. So I think I'm maybe definitely sticking with this car for ESDA. Now if I was actually in a drift thing I probably would have linked all of that. Look at that little quick control clutch kick and we stayed sideways. I got scared I thought I was going to hit the grass but so as you can see this car handles amazing with how I have it set up and it's definitely one of the most stable cars that I've built. So that's why I'm definitely intrigued at possibly using this in ESDA this year. But I might be messing with some other cars as well but I mean that was just a quick stable flick in. I'm able to keep how I want. I can use my brakes to modulate my speed. I mean I don't know what do you guys think. Do you think this car handles very well here? Getting sideways at Maple Valley. I'd like to know what you guys think about this car down in the comment section down below. What do you guys think? Do you like it? Do you dislike it? Do you dislike the massive wing? Which I almost lost. So we're going to head over and get our bearing set in an online hopper. See if we can't get rid of that hopper jitters that I've been dealing with recently where I go into a hopper and I just completely forget how to drift. I don't know what it is. I think I just get overworked and I just overthink it and I focus more on points than I do actually just enjoying driving. So we're going to hop into multiplayer, find a session, get us into an online session here and see what we can do in an online session. But this car like I said we might be busting out that viper again. Definitely two of my favorite cars to drive right now. And I think it has to do something with the downforce being able to help me in the higher speed sections. I got to do some more testing with this Camaro to see if that high speed wing is going to cause an issue on lower speed corners. It hasn't had a problem yet. That front tire is just talking. I think believe those are 20s HRE wheels in there. So let me know what you guys think about this Camaro. Do you like it? Do you not like it? Do you have one? Have you ever tried building it to drift? Let me know down in the comment section down below. So I'm going to wait for this last minute and 16 seconds till this race starts. So I'll catch you guys back rather than let you guys sit here while I'm waiting. Catch you back when the lobby opens up. So we are here. It is at top gear full circuit. I have not actually drifted top gear full circuit in fours and seven yet. So it's definitely going to be new for me. See, we got any driver's gears. We could switch it up. I think we have a Chevy driver's gear. No, no we don't. We got a Prague. Definitely a lot of cool driver's gears in here. I think we're going to stick with the teal. We'll go gray right now since we're rocking that Matt Gray Camaro. No livery. That's another thing I will be working on here soon is the livery for cars as well as a team livery for anybody that wants to rock a team evil rabbit livery. We do appreciate all the support from all you guys, all you subscribers, and everybody that comes by and checks out these episodes on the daily or by daily recently because of getting everything set up. But now that I got everything set up, all is good daily uploads, live streams, 1080p, which could be better. So we're going to get the wheel camsor down before I forget. There we go. That would be get wrecked moment doing an entire session without a wheel cam on for you guys because that's what makes this so much better than just watching a car drift. All right, so top gear disc track have not drifted here much. So this should be interesting. Like I said, we're trying to get rid of these lobby hopper multiplayer jitters. We're just going to try and focus on just having fun getting this car sideways, getting more acclimated with it and not worry too much about points because I feel the points will come if we just have fun getting sideways. And that's really what all this is about. So I would hate to have to start in that turn. So we're actually pretty close to the front. So let's see how this goes. I feel like I have a feeling the first turn is going to be a nightmare, but we're going to send it any ways. I don't remember this track that much. I don't want to hit these guys. I got scared. I felt like I was going to hit me, but he didn't. So we're good. That was probably a second gear turn. There we go. The guy scared me, but he was a ghost. So we're good. Like I said, this Camaro handles so nice right now. Definitely having a lot of fun with this Camaro. I feel like we should be able to get points to that section and we'll slow that car down. This is a really tight section and was not expecting to be that tight. So that was my fault, not the car's fault. Now I know this is a section. It's a pretty high speed, pretty high speed kick section. There we go. We're going to kick it. Try and stay in the bounce. There we go. Riding that outside edge. I thought that dude was going to hit me and we were going to lose everything. See if we can link this in there. Nice long e-brake grab. Too much. Too much. Too much. Too much. If we were to stay off the grass we would have kept all our points. I want to be that guy. All right, we're good. I didn't want to be that guy that comes back on track and screws everybody's points up. So not doing too bad in this session. Just getting more acclimated with this car. We can't kick this like everybody else. Kick it this way. There we go. Oh, too much. So what saved that? This track is so narrow and that's the moment when I realized I should be in my own party because I don't hear everybody else's commentary or mics. I will do that next if I remember. But it's Camaro. Why buy ZL1? Oh, so we can go across that line. Okay. Oh, so that makes that section not as tight as I thought. Running that grass edge right there. We're good. Definitely having a lot of fun in this Camaro. This section is so nice to get a lot of points. You got to make sure you don't go too wide or too short and lose them all. And then this section as well. I feel like we should be able to get points in this section, but this is where I overshot last time. We'll slow it down a little bit. There we go. That was perfect. Kick it back this way. Yes. Definitely getting super comfortable with this Camaro. I don't know what you guys think down the comment section down below. Let me know what you guys think. Am I getting comfortable with this Camaro? Because I feel like I am. Yep. Oh, and potentially cross. I did not see that coming. Oh, the crossover on the track got me. I was getting it through that turn though. Normally I'd be a little bit upset, but I'm trying to just, you know, have fun with this car. Oh, that was close. Because that's all it's all really about is having fun, getting sideways, having a little late backslide session. Too much, too much, too much, too much. I just want to save the car. Dang, somebody went all up in these tires. Somewhat salvages run. So a lot higher up in the points than we have been before and not as a testament to just not solely focusing on points, just solely focusing on the drift line and the points will come. That's for sure. Like that. There we go. That was nice. See if we can't get into this one again without screwing it. Nice in that line. There we go. Get back. Let's see if we can't get this first turn to work again. This Camaro is something else. Kick the sideways. One clutch kick. Break that in long. I don't see anybody coming. So we should be good. There we go. Stay on the track. Those random ghost burnout marks are tripping me out here, but... So if we wouldn't have gotten tapped in that cross last time, we'd probably be up a lot higher in points. But I can't complain with the points we are at right now because it's a lot better than I thought we were going to be for sure. How high can we go out here? Pretty high actually. There we go. Like I said, this Camaro is actually very stable. Definitely super excited to keep driving this car and get more and more comfortable in this car. I think we're going to keep this car going into another session. I was all off gas hoping I'd slow down. Painted back and forth. There we go. Add all those points together. And now we're up to fourth. I mean that was definitely a quick controlled entry downshift. Made sure I was on the brace so I didn't overshoot that turn. Yep, I'm in love with this Camaro. And it's down. 10 out of 10. We're definitely driving this car a lot.  I don't know how we made that. I really do not know how we made that turn. Bank those points before we head into this section. Around DeNofa. There we go. Yep. Oh man, online hopper. I think this car gave me the... Oh, I just did what he did. I did exactly what he did. Good thing it's end of the hopper. But I think the online hopper jitters may be gone with this car. So definitely going to try one more online session with this Camaro and see if we can continue a very good... I wish we would have gotten a podium. But you know what? I'll take fourth. We're here at Dubai Mountain Circuit. We're pretty dead smack in the center. So hopefully we can not get too beat up here. Initiate in. There we go. Kick down the second. Avoid the M3 that just spun out. Avoid him. Kick it sideways. There we go. Please don't hit me. We're on a good run with this Camaro. These guys are like training it up here. I don't want to get too close to all that, but it would be sweet to get some tandems. Try not to lose these points. Definitely banking a lot here because we're banking second place right now. Up here with these guys. Kick it. There we go. I lost drift. Shoulda clutch kicked. We still got it though. Still good. Nice and sideways. High angle. Don't lose that. Just a tap. Don't lose those. Please don't lose those. We did lose our big spoiler, but I don't think it's going to actually affect us that bad because it is only cosmetic. So cosmetic damage, I believe. I still have the downforce even though the wing is gone. Too fast. I knew that was too fast. As soon as I threw it, I knew that was going to be a problem. There we go. I think as many points as we can through this section. Let's get on the brakes so we don't smack into that guy because we're holding a comfortable third by 7,000 points. So definitely trying to ease off this guy a little bit so we can not lose too many points or mess him up at that. There we go. This car likes their gear. I don't know what happened there. I mean that S14 scared me. Impromptu tandems with the S14. See if we can't pass him. There we go. That was a clean pass. Clean pass sideways because fourth place is catching up to us. Definitely going to bang as many points as we can now. Stay on throttle so that it was drift here. There's a pavement change. We're good. All right, here we go. Let's see if we can keep this. This is definitely a really good run here at Dubai Mountain Circuit with this Camaro. Yes, that was nice. People shedding body parts. We're holding 12k. 16 large. Don't lose that now. We're holding 16 large to there. We're holding 11 large over fourth place. As long as we can stay consistent, we should be able to podium here in Dubai Mountain Circuit in RZL1. Wide body Camaro. Yep. These guys definitely got a lot more points ahead of me but I did have that mixed up. 16 large. Oh, that man just wrecked. Now we got a little space. We can stretch our legs a little bit more with this Camaro. See if we can't link all of this. There we go. This car is just so smooth. I thought I was going to go too fast. Definitely off throttle a lot through that section to try not to smack that wall. It definitely has the power in third gear. Thank those points. Trying not to hit that man.  I think the guy behind us might be number two. Yep. One, two, and three right here. One, two, and three in a tandem train. Dubai Mountain Circuit. This is definitely sick right now. Oh, you get wrecked. That's cool though. That was definitely a close tandem run. Take the inside edge. I don't want to hit him. Don't want to hit him. Don't want to hit him. There we go. Definitely trying to be smooth and not hit this. I feel bad for that now, but he's definitely got a huge amount of points up there. We got a minute left. We were doing pretty good tandeming up there in that nice little train owl. What happened there? He's still got first place, so I don't feel as bad as if I would have made him say lose first place. Get out of this man's way. There we go. Definitely going to apologize to that man for making him lose those points, but we are in fourth now? Why? Oh, because we lost all those points. Well, see, that's what happens. I lost all the points in that section and it kicked me down to fourth, but you know what? It's definitely still a fun episode here on Forza Motorsports 7 in this wide-body Camaro. If you guys want to see more episodes like this, don't forget to tap that like button, subscribe to the channel. I do appreciate all the support. Oh, we got our third place back. What? With 14 seconds left? Can we keep that podium spot? Seven seconds left. Four, three, two, one. I think we kept our podium. I think we took third. That definitely makes me excited to be able to take third podium spot here in a public copper. There we go. We got an achievement for that, too. Complete a challenge. Wait, I got a motion capture? Okay, so we placed third here at Dubai Mountain Circuit, so I think that's going to do it here for this episode. Here on Forza Motorsports 7, you guys want to see more? You know what to do. So until next time, guys, thank you guys for watching. I'm EvilRabbit, and I'm out.


Maybe just throw these on top of my first day filming in auto. Crazy. All right Kofuzy if you're watching I hope you are. I am looking for a double knee pant for dads That's right double knee pant. I saw your video a long time ago about dickies I need to know are they still good how they holding up? Do you still like them? Are they still comfortable? I'm looking for a good pant for my knee For basically for photography you're always crouching down and all of my Levi jeans have holes in them Except for this pair. This is the only pair. I have a five pairs of jeans maybe six and This is the only pair that doesn't have holes So if you're watching Kofuzy, give me an update on your dickies Could you could you do that because it's basically between dickies and car hearts right now dickies and car hearts. All right Off to work It's time. It's time In case you live in Denver drive a Land Rover My sons may have jacked your hubcap Emblem just just putting that out there Did I mention this is my week off from running? That's right I decided to shut her down shut her down in case you wondering why I haven't been on Strava if we're connected there Which actually we're can a lot of people that watch this are connected there on Strava Which is amazing and I'm gonna get to the comment of the week here in a second But first I'm gonna enjoy this week off from running snack. It's just like a dream come true Thank you true love for bringing this home. It's kind of bright kind of bright But it doesn't matter because I'm in auto not in manual So I know the lighting is good because I'm in auto see this is how I extinguished out in my life I just don't have to think now. Okay, I'm moving the camera. All right another way I'm getting rid of doubt Centered around sorry, it's a little bright centered around the topic of the VLOG is that good things are happening meaning we're Impacting lives in a positive way, right? Well, this is all kind of connected here bear with me Strava The comment of the week this week case you're new to the vlog Just so you know I give a shout out to the best comment in the previous seven days and this week It's not on YouTube. It's on Strava and yes, it goes out to Russell Russell and I are connected on Strava basically his comment Basically somehow he saw this video up there go check it out about helping a dying boy out in Maine and so his Strava Activity title was seek beauty work hard love each other SJD So that's kind of my you know, that's my tagline for this this blog So Russell made a post on this on this Strava Let me just try and find it here. Hold on on this Strava post on this boy in Maine Is dying from cancer in case you didn't know that from a couple of days ago once again Go check it out and so people are sending him Penguin stuff because he loves penguins hence the tic-tac-toe penguin right there So basically I wrote a letter. Thank you Russell for spreading the news about this little boy and his his wish You know, he's not gonna make it to Christmas like he's not gonna make it And so his family is celebrating Christmas now and people around the world are sending him Things that are connected to penguins because the boy loves penguins. So here's my card The front says lots of love and I wrote hi Jacob Merry Christmas I hope and pray that this card begin brings you some joy today.  I heard about your inspiring story through a friend on YouTube She told me about your story and how much you love penguins your life Jacob is truly an inspiration to so many people never forget that your time on this earth is inspiring Countless people to live their life to the full my family in Colorado is so grateful that we got to know you even if only in a Little way your story will never be forgotten Jacob. It's pretty cold in Colorado. Maybe we should bring some penguins here Question mark with love from the demora. So that's what I'm sending to Jacob out in Maine If you care to do send this boy something I'll put the address down below in the description. That's what's happening and Russell once again Russell Thank you for spreading the word on Strava about this boy and about spreading love and it's just like if you can't really well his Russell's kids made pictures for this boy, and then also it looks like they're sending him some stuffed animals. So all right, I Don't know what else to say after that


What's up everyone it's your girl Kenzie here from Layton Sports Guards and I'm ripping a personal for Kareem A We've got a 2023 Panini prism UFC hobby box. All right, Kareem. Thanks so much for your patience in for waitin Let's see we get you here Asking for a big Hasbulla card Sunday funding starts at 5 p.m. Eastern time with forest so I'm just a little bit Silver Palovich Aqua wave of odds Amir what heavyweight dominators mucic Purple BJ Penn for the weltsway division 29 of 149 Ruby way odd odds Amir All out Dustin Poirier Andre Gary Figuero BJ Penn. We have silver Alamedia rookie First auto is gonna be a Uriba favor nice from Bantam wait, mr. Faber and Chameleon on the fearless Silver Viera Next auto we're gonna have a Dominic Cruz to 49. There you go, Kareem That's sick Bantam wait Dominic Cruz 38 of 49 Solids ones their fearless Holly Holm Walker here may have red rookie of Merzakana nine of 199 Hyper rookie Mokeya home monitors Khabib Shanko Here's Rose. We have red.  Nice Leon Edwards two of 99 there Ruby wave Alexa Grasso fearless Brock Lesnar. I know right? That's what I'm saying bugger Girl thought Rose hasn't fought in a minute her last fight did not look like herself So I don't know what's going on with her Turner silver aqua wave Rob font and sejudo Blue Justin Gaethi nice one there. That is 19 of 175 Hyper Dilla Shaw all out Matt Hughes Come on has below where you're hiding here who is gonna be a Brandon Moreno 17 of 175 Strickland hyper dominators Jose Aldo last pat Kareem Same here silver Darush Ruby way of rookie of Dvorak and silver dominators of BJ Penn Alrighty Kareem that will do it for your box. Thanks so much again for your patience and for waiting We'll get these cards sent right out to you


Russia is preparing a provocation against Ukraine in Africa, Russia is preparing a provocation against Ukraine allegedly related to the illegal trafficking of Western weapons in Africa. The main intelligence directorate of the Ministry of Defense of Ukraine reported this on its Telegram channel. It is noted that against the backdrop of the weakening positions of Russia and its proxy forces on the African continent, enemy intelligence services are preparing another information special operation directed against Ukraine. In particular, the Kremlin will try to accuse Ukrainian special forces of allegedly using weapons of foreign origin during hostilities in the Republic of Sudan. To do this, Russian propagandists planned to publish in the media, in particular in Libya, ordered publications and fabricated photographs of captured weapons of American origin previously captured by mercenaries of the so-called Wagner Group during the war in Ukraine, the statement says. It is noted that the purpose of such publications is to discredit Ukraine and its partner as well as to accuse Western allies of uncontrolled arms trafficking with the participation of Ukraine. The Kremlin will also try to emphasize that elite Ukrainian special forces are participating in combat operations in Africa at a time when Russia is waging a genocidal war in Ukraine itself. The main intelligence directorate of the Ministry of Defense noted, at the same time it is added that in connection with religious holidays that continue in the Muslim world, including some African countries, Russian intelligence services were forced to fabricate the necessary photographic materials on the territory of Belarus. We emphasize that Ukraine and its defense forces continue to act exclusively within the framework of international law and the UN Charter with respect for the sovereignty of all countries and have nothing to do with any illegal actions related to illicit arms trafficking, the statement said. Russians got order to capture Chassiv Yar by May 9th, Ukrainian forces fortified defense. Russian troops have been ordered to capture the town of Chassiv Yar in Donetsk Oblast by May 9th. Ukrainian armed forces are strengthening defense in this direction to contain the enemy's advance, according to the General Staff of the Armed Forces of Ukraine on Facebook. Chief of the General Staff of the Armed Forces of Ukraine, Oleksandr Sirsky, noted that the enemy is attempting to breach the defense west of Bakhmut to reach the Siversky-Denets-Donbas Channel. Capturing Chassiv Yar will create conditions for further enemy advancement towards the Kramatorsk agglomeration. He emphasized that Ukrainian brigades have dug in effectively. Indeed, the armed forces managed to destroy infantry groups that advanced into the Novy micro-district. Occupiers were eliminated by FPV Kamikaze strikes and artillery fire. However, the threat remains relevant, considering that the Russian military command has tasked its troops with capturing Chassiv Yar by May 9th, Sirsky noted. According to him, measures have been taken to significantly reinforce brigades with ammunition, drones, and electronic warfare assets to strengthen our troops' defense in this direction. The main conclusion from the two-day work on the front line is the necessity to enhance the quality of training, including the morale psychological component, increase the number of high-tech unmanned systems of various purposes with trained operators, and improve the quality of conducting asymmetric actions to reduce the enemy's combat potential, added the Chief. Overall, following the capture of Abdiivka, Russian forces continue to push further eastward in an attempt to break through the defense. One of the enemy's priorities is Chassiv Yar. The Ministry of Defense emphasized that the village of Boyd-Anivka in the Bakhmut district remains under the control of the Ukrainian armed forces, where heavy fighting is ongoing.


This study examined the effects of human activity on global water withdrawal and consumption patterns. It found that global water withdrawal has increased significantly since 1979, with groundwater withdrawal being the most significant contributor. Additionally, it was observed that human activity has had a strong effect on the seasonality and variability of water withdrawal and consumption. This article was authored by Y. Wada, D. Wisser, and M. F. P. Birkins.


Okay so where we stopped yesterday we were looking at the solution for heat transfer similarity solution and this is also called the pole house and similarity solution okay after named after pole house and who continued the velocity boundary layer similarity solution of Blasius and he extended that to thermal boundary layers and we saw the derivation of this particular expression subject to these boundary conditions and of course you know from the from the intuition that for Pantel number equal to 1 the if you replace the temperature variable non-dimensional temperature ? with the non-dimensional velocity the momentum and the temperature equations are identical exactly so pole house and got the idea that if for Pantel number equal to 1 they have the same solution so for other Pantel numbers there should be some kind of similarity solution possible so then he intuitively substituted the same similarity variable which was used for velocity boundary layer and finally he finds that this falls into the category of similarity solutions okay and of course we have seen by direct integration you can reach to this particular step where this gives you the solution of course you need the F from the solution to the velocity similarity similarity and from there you plug it in and you can numerically integrate it or we have also seen the the standard way of doing all the solving all the OD is will be here after by using the shooting technique so you solve the OD directly numerically so that also will give you the same solution for ? but for all this the solution for F is required okay so you have to solve both of them simultaneously solve the momentum similarity solution once you get the value of F you substitute into the energy similarity solution find the solution for ? so all this also depends upon the Pantel number therefore your ? is a function of your location as well as your Pantel number so far a given Pantel number you substitute and you integrate it out and you find a solution so for different values of Pantel number you will get different values of ? as a function of ? so therefore if you plot the similarity solution coming out of this if I plot 1- ? that is I just convert it as T- T 8 by T wall- T 8 as a function of ? you see for each Pantel number the slope of the curve changes higher the Pantel number greater is the slope so that which means now now you all know that the slope of the temperature profile at the wall directly governs your near wall heat transfer rate okay so we are now going to calculate the heat flux which is carried away from the wall and we all know that the heat flux is directly related to the slope of the temperature profile at the wall so greater the slope greater will be the heat flux carried away and therefore your heat transfer coefficient which is defined from this also will become higher so higher the Pantel number the higher the heat transfer coefficient okay so now you can probably once you know the solution you can convert this in terms of ? and derivative with respect to ? and then plug in those values okay can you have you know we have defined ? in this manner T- T wall by T 8 so this can be written as – K so DT by DY will be D ? so T 8- T wall into D ? by D ? I am transforming the variables here into D ? by DY at Y equal to 0 or in fact I should apply this condition to D ? by D ? at ? equal to 0 okay now I also know my similarity variable ? is Y times square root of U 8 by ? X okay so I can just substitute this should give – K T 8- T wall into what is D ? by DY square root of U 8 by U X into D ? by D ? at ? equal to 0 now D ? by D ? ? equal to 0 so this is my D ? by D ? if you integrate this once you end up with this solution for the slope D ? by D ? okay so you want to evaluate this at ? equal to 0 so we will say that my D ? by D ? at equal to 0 should be the value of this F double prime okay at ? equal to 0 okay the F double prime to the power PR at ? equal to 0 by 0 to infinity F double prime at ? equal to 0 to the power PR D ? right since your F is a function of ? so the value of slope from that equation will be evaluated exactly at F double prime ? equal to 0 okay so I mean when you are doing this numerically so all you have to do is you have to substitute the value of F double prime from the Blasius solution that you got right so you know the value of F double prime at ? equal to 0 that is nothing but the curvature okay you substitute and then you integrate it okay so then that should give you the value of the temperature profile temperature slope a slope of the temperature at ? equal to 0 okay so when you do this numerically once you have the complete Blasius solution it is just a matter of substituting the curvature for in terms of F and then calculating the slope in terms of ? okay so once you do this you will find out in fact this was done numerically by Paul Hausson and he has actually fitted nice curve so he gets different sets of values of D ? by D ? for different values of Prandtl number so depending on the Prandtl number you get different values of this okay so now he fitted a nice curve for different ranges of Prandtl number for each range you know he found the curve fit which is sufficiently good enough to describe it and this is what Paul Hausson did it so Paul Hausson's solution was expressed as D ? by D ? at ? equal to 0 for the case where your Prandtl number was extremely small okay so I say Prandtl number approaching 0 okay so for such a case he found the curve fit like 0.564 times Prandtl number raised to the power half this was the best fit which can describe the approximation for low extremely low Prandtl numbers okay for moderate Prandtl numbers between 0.6 and less than 15 he found 0.332 into PR power 1 by 3 okay and for Prandtl number which is very large 0.339 PR power 1 by 3 in fact it is very close you know even this could have approximated all the way from Prandtl number 0.6 to infinity it is only the third decimal point which is just changing but for very small Prandtl numbers the functional dependence on Prandtl number itself is different okay so in fact this is a very useful information for us he has completely covered the entire Prandtl number regimes okay so in fact it is a good exercise you can when you are solving this by for example shooting method you can you will be directly solving for D ? by D ? at ? equal to 0 right you have seen this just like the case of Blas's solution where you do not know the curvature you guess it and try to match the other boundary condition okay f prime of infinity should be equal to 1 the same way here you guess D ? by D ? ? ? equal to 0 you guess this and you finally match this solution okay so ultimately when you converge finally you will directly converge to the correct value of the slope at ? equal to 0 okay and if you probably check with the Paul Haussens correlation you can get a good idea how good this correlation works okay so you can repeat this for different Prandtl numbers right okay for different Prandtl numbers you solve this equation you get the slope and then you substitute and check whether it satisfies the Paul Haussens fit okay so that is a good way of for you to learn and understand whether this fit is very accurate or not okay so this is what Paul Haussens got we let us accept it for the time being so most of the times we are interested in fluids in the kind of intermediate Prandtl numbers okay we are not going into liquid metals or fluids with extremely high viscosity but with intermediate Prandtl numbers between 0.6 and 15 so we will take that value and then substitute for d ? by d ? for calculating the heat flux okay so therefore my heat flux will become now 0.332 x k times T wall – T 8 and just flipping the signs here x Prandtl number power 1 by third square root of u 8 by ? x so this is the equation for the wall flux I want to now go one step forward and calculate what is the heat transfer coefficient okay so my heat transfer coefficient as a function of x will be your wall flux divided by how do I define it wall temperature – reference temperature is my free stream temperature okay so this will be 0.332 k here power half square root of u 8 now I will non-dimensionalize the heat transfer coefficient in terms of Nusselt number local Nusselt number which is defined this way okay so this will be 0.332 PR power 1 by 3 so I multiply by x here so I will be getting square root of u 8 x by ? right so which is nothing but the Reynolds number okay where your local Reynolds number is u 8 x by the kinematic viscosity okay so this is the final expression that you probably find in the textbooks if you have taken a basic heat transfer course you are all straight away given the final expression or flat plate Nusselt number okay so this is how it is coming out so this is a very straightforward correlation and probably most of you know by heart and this is valid for the intermediate Prandtl number range that we are talking about that is Prandtl number greater than 0.6 and less than 15 okay so we can also do one more thing rather than being interested in the local variation of heat transfer coefficient and Nusselt number we can kind of calculate an average value of H for the entire plate so therefore we can also define an average value H over bar which is 1 over L 0 to x HD x okay so this is the way I define my average over the entire plate length okay so if I substitute you can probably do that as a nice exercise you can substitute and integrate it with respect to x you will find that the resulting expression will be 0.664 into K PR 1 by 3 square root of U 8 by NU L okay which is exactly twice of H of x but here x will be equal to L okay so this is exactly twice of the heat transfer coefficient corresponding to x is equal to L okay now same way if you define an average Nusselt number for the entire plate okay depending on the average heat transfer coefficient and based on the length instead of the local coordinate so you will be getting 0.664 into RE based on the length and Prandtl number one third okay so this is this is exactly twice that of NU at x is equal to L alright okay so these are some I think correlations which are familiar to you so I am not going to spend too much of time and so in all these cases you know that the Prandtl number is a very important parameter which is the ratio of NU by A so which gives you the ratio of momentum diffusivity by thermal diffusivity okay and you also know from the scaling analysis which we did when we derived the boundary layer equations the relationship between Prandtl number and ? we showed that my ? T by ? is approximately Prandtl number the power minus 1 by 2 for one case for higher Prandtl numbers this relationship becomes Prandtl number to the power minus 1 by 3 but nevertheless you can see that the thermal boundary layer thickness is inversely proportional to the Prandtl number okay so therefore if you are saying that my Prandtl number is much lesser than one so your thermal boundary layer thickness is much greater than your momentum boundary layer thickness and for Prandtl number equal to 1 both are equal and vice versa okay so this is the kind of observation for higher Prandtl numbers for Prandtl numbers greater than one of the order of one and greater than one you can clearly show that ? T by ? scales as Prandtl number to the power minus 1 by 3 okay so this something which was concluded once you calculate your thermal boundary layer thickness from here and the momentum boundary layer thickness from the Blasch's solution you can simply take the ratio and you find that it exactly scales by this Prandtl number power minus 1 by 3 this is something that which you can observe yourself okay for higher Prandtl number for the low Prandtl number regime it scales as Prandtl number power minus 1 by 2 so in fact you can see here itself okay the slope for the low Prandtl number regime is of the order of PR power half here for higher Prandtl number it is PR power 1 by 3 okay so these are some of the observation that you can make and most of the times if you are looking at oils which are very viscous you are looking at high Prandtl numbers or if you are looking at liquid metals you are looking at very very small Prandtl numbers most of the practical fluids air water and so on they fall in this intermediate Prandtl number regimes so that is why we have specially derived the expression for Nusselt number for those majority of the fluids which fall within that Prandtl number range okay so in fact this will be also very nice exercise which I can give you probably in your homework you can calculate the thermal boundary layer thickness once you get your Blasius profile right so that is that is the value of Y where your ? corresponding to the ? where your U by U 8 goes to 1 or 0.99 or F prime that you calculate should be approaching 0.99 the corresponding value of Y will be ? the same way thermal boundary layer thickness is defined as the point where your ? goes to 0.99 okay the corresponding value of Y so you can calculate both you can take the ratio of that and you can see how it scales you check you check the scaling with respect to Prandtl number okay so you can keep doing this for different Prandtl numbers and you will find that it exactly scales in that manner alright so so with this we will move on to the next topic but actually what could have been done I could have actually started off from the other the next topic that I am going to talk about now rather than doing the flat plate solution because a flat plate solution is a special case of that particular type of flows okay so this type of flows are called as Falkner's can flows okay so let me just give you an introduction to the Falkner can scan type of flows before we go into the similarity solution so any questions so far on the flat plate flat plate is a very basic case that is why I had to start so that you can understand how the similarity solution is obtained how we can solve the ordinary differential equations and so on the other cases are little bit more not that difficult but it is just one order of approximation higher and the flat plate case is going to be a special case of those kind of flows I did not want to directly start off from there and show you the flat plate I could have done that to save the time but nevertheless it would have not been a very good learning experience for you okay okay one more thing which I probably will just mention casually before signing off from this I think all of you have heard about Reynolds analogy okay I think Reynolds analogy is something which is taught in any heat transfer course so you can also show I mean for the case of Prandtl number equal to 1 okay there is a very good relationship between the Nusselt number and the skin friction coefficient okay so it is expressed in terms of standard number is equal to exactly CF by 2 okay so this was called the Reynolds analogy because it was discovered by Osborne Reynolds and this relationship is very useful because once you know the skin friction coefficient you can directly calculate the corresponding Nusselt number also okay your standard number is another non-dimensional number which is a non-dimensional group which is defined based on your Nusselt number Reynolds number and Prandtl number all these are grouped and just another name is given to that now for Prandtl number not equal to 1 people have found that still you can use an analogy now that is called as the Reynolds-Colburn analogy because it is an extension of the Reynolds analogy for Prandtl number 1 according to that your standard number into PR power 2 by 3 is exactly equal to CF by 2 so wherever your Prandtl number is not equal to 1 you can still use the Reynolds-Colburn analogy to calculate the Nusselt number from the skin friction coefficient so in any way I mean already when Paulhausen did it he understood the relationship between the Nusselt number and skin friction directly for Prandtl number 1 okay for the other Prandtl numbers it was extended based on the Reynolds-Colburn analogy and therefore these are very useful expressions for flat plate is concerned you do not have to really be bothered about the heat transfer solution once you get the fluid flow solution you can apply the analogy and calculate the heat transfer solution especially if we are interested in the heat transfer rate at the wall okay so therefore we are more interested in the Nusselt number and things like that okay so with that I think you can show and derive this yourself it is not that difficult I think you can do it I am not going to spend time and therefore with this we will move on to the Falconer scan type of flows okay so so these are flows with pressure gradient okay so so far as you all know in the flat plate case we have seen that the pressure gradient is neglected and therefore it becomes very simple to solve now what happens when you have flows with pressure gradient okay can we derive a closed form analytical solution or maybe can we find at least a similarity solution which we can solve numerically okay so this was not addressed till the 1930s so when Falconer and scan the extended they studied the similarity solutions derived for flat plate and they try to extend that for flows with pressure gradient term also okay and that is why they have been called as Falconer scan solutions at least the flow part okay so heat transfer part was added to the flow part because the heat transfer equation has nothing to do with the pressure gradient heat transfer already has been solved okay so once you solve the flow that f that comes out of the flow goes into the similarity solution for temperature okay so that is going to be much simpler so the flow is the major complication here in fact Falconer and scan they discovered that for flows with adverse pressure gradient they have in fact you can do this from the potential flow theory that is from the inviscid solution that you can derive the velocity profile the free stream velocity which is a function of X now it is not it is not a constant anymore so can be shown to be relationship with respect to X a C X power M okay where C is a constant and M is also a constant but it is related to what is called the wedge angle okay so beta by 2 minus beta and beta pi is your wedge angle okay now what does it mean by the wedge angle is if you draw a very a general kind of a problem with describing this kind of a free stream velocity profile okay it will be something like this okay so you have a wedge okay this is a wedge profile okay so you stick this wedge into the free stream and so initially here your free stream which is approaching will be constant and now once it encounters this wedge so there is of course a pressure gradient okay so the flow will try to for example here accelerate okay so therefore here the local free stream velocity will be a function of X okay correct okay and this profile is described by this relation C X power M for this kind of a case what is the wedge angle so this is your wedge angle beta pi okay so this is the so this is a general figure configuration for which Faulkner and scan has shown the similarity solution and you can derive special cases of this particular solution okay now you can see if my beta equal to 0 what happens what happens to the wedge it becomes a flat plate okay so these two collapse and this is just simply flow past a flat plate and if my beta equal to 0 what what is the value of M M is also 0 right so therefore my U infinity will be constant so which becomes basically the flat plate solution so flat plate solution is a special case of the wedge solutions are the Faulkner scan solutions okay now if my beta equal to 1 for example how does this flow look okay so let me draw the different cases beta equal to 0 as you can see that this will be a flat plate okay now if my beta equal to 1 what will happen to M 1 okay so therefore my U infinity of X will be C X okay now how does how does the configuration look if my if my beta equal to 1 the wedge angle will be what pi so it will be a vertical plate instead of a horizontal plate but the flow will be still coming along the horizontal direction so this will come an impinge the flow comes like this it impinges and it goes this way okay so this is called a stagnation point solution because you can see that the flow comes hits the velocity has to be 0 so this is a stagnation point okay so this is a stagnation solution stagnation point okay so this is I mean since it is 2D this is 2D stagnation flow or stagnation point flow okay so these are some special cases of the Faulkner scan now what happens if my beta is negative so far I have been discussing the case where beta is 0 and beta is greater than 0 so beta going up to 1 now what what can have can also you can also visualize another configuration or beta is negative okay so how could how could beta be negative so you can for example take this you can wrap it around inside it becomes 0 when it touches here and again you turn it inside so that becomes negative and when you do that if you do completely wrap around this way you will find this flow cannot flow past this surface okay but instead this flow will have to come and then deviate this way okay so therefore I am just tilting it upside down if you if you tilt it upside down you can say for beta less than 0 for example where your M also will be negative correct if my beta is less than 0 M also will be negative so I can have a flow which is something like this okay this is my wedge this is how my wedge it becomes okay so I take this this will be 0 and again I put it this way and make this horizontal okay so this will be horizontal and like this the flow will pass like this okay the same thing I am drawing upside down okay so the flow will be like this so what kind of a pressure gradient here it is is it favorable pressure gradient or adverse pressure gradient this is an adverse pressure gradient okay because you are because why your M is less than 0 so your velocity has to decelerate correct so this is an adverse pressure gradient flow all right so whereas the for the case where your beta is greater than 0 what should happen the flow should accelerate your M is positive okay so wherever your wedge angles are positive like this it is an accelerating flow where your wedge angle is negative like this it is a decelerating flow or it is an adverse pressure gradient flow in this case it is a favorable pressure gradient flow okay so therefore you can see there is a family of solutions that can be derived once you have the basic solution for the free stream this is coming from the inviscid this is coming from the potential flow or the inviscid solution okay so for this kind of class of problems there are different configurations that are possible depending on the values of M which depends on the wedge angle okay beta pi and the limiting cases some of the limiting cases that we can have a look at is the case of beta equal to 0 which gives you the flat plate solution beta equal to 1 which gives the stagnation point solution and negative values of beta which is an adverse pressure gradient solution now if I reduce the value of beta so small in fact if I make it too negative what will happen is beyond a certain point the flow will separate the adverse pressure gradient will be so strong that flow separation will take place and once the flow separation takes place the boundary layer theory is not valid anymore okay the boundary layer theory is valid only within the boundary layer once the flow separates there is no boundary layer there okay therefore you have to be cautious there is the lowest low there is a lower limit for beta till which you can find solutions okay below that flow separation takes place and you cannot find a similarity solution to those problems okay so now what we are going to do is for these kind of class of problems we will write down the try to reduce the partial differential equation to a similarity equation so can you all try to write down the governing equations for this kind of problems okay so for flows with pressure gradient so how does the boundary layer equations look okay the continuity is still the same how about the momentum equation everything is the same except only one term which is the pressure gradient term and we are now neglecting the okay now when we are not still written the energy equation first we will take the flow solution and then we will apply that to the energy okay so this is your governing equation now we all know how do we calculate the pressure gradient okay I probably mentioned this in the very third or fourth class okay when we derived the governing equations for boundary layer so how do we evaluate the pressure gradient inside the boundary layer upstream so since we have shown that the pressure is invariant of why okay so we can evaluate this outside the boundary layer and the same value should be valid inside also okay so therefore if you apply the governing equations outside the boundary layer so you will get U 8 D U 8 by DX okay only your free steam velocity is there your V velocity 0 so that should be equal to – 1 by ? DP by DX and there are no viscous effects also there okay so you can simply replace your pressure gradient with your equivalent velocity gradient therefore this term will become U 8 by DX all right so now for the class of problems we are looking at the wedge flow problems okay this is the form of the velocity profile C X power M okay so therefore we know the functional dependence of U 8 on X we can just simply substitute it can you tell me how does it look since my U 8 is equal to C X power M my D U 8 by DX will be C M X power M – 1 okay so therefore this becomes U D U DX V D U DY is equal to I can write again U 8 I can say that this C X power M is again nothing but U 8 okay so I have 1 U 8 here U 8 here which I club together as U 8 square and apart from that I have M and I have X power – 1 okay so I can write this as M by X plus new okay so this is the form of the momentum equation that I will be working with for the Falconer scan flows okay now what are the boundary conditions at Y equal to 0 U and V will be 0 no slip boundary condition and Y going to infinity my U approaches my free stream velocity now be careful your free stream velocity is function of X it is not a constant anymore okay so which is actually of the form C X power M okay so now how do we reduce this to an ODE the same approach that we did with the Blasius flow you assume a similarity variable let us assume the same similarity variable that we got for the flat plate flows okay because functional dependence of boundary layer thickness on X is going to be the same whether you have a pressure gradient term or not therefore your eta which is a function of Y by delta that functional dependence of delta is still the same therefore you can assume the same similarity variable holds good okay only thing here U 8 is a function of X okay so therefore you can write this as Y square root of C by new into this is X power M this is minus 1 X power M minus 1 half okay M minus 1 by 2 and also we can define the stream function and show that stream function is related it is a function of eta the same way that it was there for the flat plate also so those things remain unchanged where your stream function is defined such that U is equal to V ? by dy V is equal to minus okay so till now this is nothing new okay this is the same thing we did for the Blasius solution so all you need to do is substitute for the derivatives now okay in terms of the stream function of stream function is a function of F so therefore you can calculate U V and you can substitute all of them here now only thing is you have this M and U 8 is a function of X okay so once you substitute into this you will find that that I will leave as a nice exercise to you it will reduce to a ODE in terms of F and eta without any terms from Y and X appearing okay so therefore this confirms that a similarity solution to this class of problems is possible it is not too difficult to show once you plug in all the velocity gradients and your velocities into this expression let me call this as number 2 your stream function already satisfies the continuity okay so you have to just plug it in here and substituting into 2 you get your final ODE which is free of X and Y terms it is only function of F and eta okay so therefore this shows that for this kind of flows similarity solution is perfectly possible okay and this is the Falkner scan similarity solution so now you can see now here it is also a function of M okay now if you put M equal to 0 okay what happens this term completely vanishes you have 1 by 2 F d square F by d eta square equal to 0 so this is nothing but the Blasher solution okay so in fact without even touching the Blasher solution we can straight away started you could have started from Falkner scan and showed Blasher solution as a limiting case okay so all kinds of problems can be approached in this manner you can put any value of M that you are interested in for that particular configuration and get the similarity profiles for that particular configuration so this is a function of M right here so what are the boundary conditions the same boundary conditions that have that we have used for Blasher solution apply here ? equal to 0 you are F equal to 0 why you are F equal to 0 which boundary condition does it satisfy no slip correct but exactly which whether does it correspond to U equal to 0 or V equal to 0 U equal to 0 what is U in terms of F what is the relation between U and F U by U 8 therefore F equal to 0 does it correspond to this so then U equal to 0 should be what F prime should be 0 so then what what does it correspond to V equal to 0 so go back to your the way that we derived the Blasher solution look at the expressions for U and V okay so if you put F equal to 0 then you then only your V become 0 because already from the condition that U equal to 0 we know that F prime equal to 0 so for we have V to be 0 then this has to be 0 okay and what is the remaining boundary condition ? going to infinity the same same thing that we have done for the flat plate okay so what is the condition at ? going to infinity U by U infinity should be 1 or DF by D ? F prime should be equal to 1 okay so so this is this is called the Falkner scan similarity solution so now how do we solve it shooting method okay exactly the same same technique that you did for Blasher solution okay you have boundary condition for F you have boundary condition for F prime but you do not have a boundary condition for F double prime at ? equal to 0 so you have to guess something and finally match this satisfy this condition okay you do not worry about because even if you have this equation I will just write down if you apply the shooting method it will simply reduce to three ODEs which I will just write and stop there or maybe I can write it here so the first OD will be what F prime equal to G right second OD will be G prime equal to H and what is the third OD you substitute in terms of F G and H here okay so that will be H H prime will be equal to minus you have M plus 1 by 2 into F into G G prime or H D square F by D ? square H okay this has to be F into H plus M into 1 minus D F by D ? the whole this is yeah so this has to be F prime square so this has to be G square okay so this is my third OD so these are the three first order ODEs okay all I have to do is March from ? equal to 0 till ? some value of 8 or 10 okay and the same set of boundary conditions you know you guess by Newton's method successively you reach to the better guess and then check the condition that at ? equal to large value some ? equal to 8 or 10 your F prime which is nothing but your G should be equal to one okay so that equation has to satisfy till then you keep on iterating by Newton's method you keep guessing better values and you have to solve the set of ODEs for all the points in the domain okay the same exactly the same technique all you need to know is the value of M so which value of which configuration that you are looking okay so once you know the configuration the solution procedure is identical for different for each configuration you get a class of solutions so we will stop here so tomorrow we will complete the heat transfer part of the Falkner's can solution also.


Hello, this is Dr. Patrick Porter and welcome back to the BrainTap Business Journal podcast where we teach you tips and tricks to keep yourself well and your practice prosperous. Today, I have a very special guest, a new friend, his name is David Wong, and he runs the QILifestore.com. And you can, we're going to tell you about a special that you can go there and just put in the code BrainTap, and down below, after you're done listening, you can go to the podcast notes and we'll have a couple of different links for you there. There's also qicoil.com forward slash BrainTap. If you're driving your car, that might be the easiest one, qicoil.com spelled qicoil.com forward slash BrainTap. And he's going to tell us a little bit about how we got into it. Most of you know about PMF, but you probably don't know about David's device. He's revolutionized how we use that. He's taken what typically can cost up to $40,000 and put it into a travel box that I get to travel with now and treat myself with PMF. I don't bring my big bed with me everywhere that I go. And it also has frequency. So David, tell us a little bit about how you got into this QILif program. Yeah, my pleasure. So thanks, Patrick. Well, it started a long time ago. About 15 years ago, I was chronically ill. I had a incurable digestive disorder. And long story short, I was able to self heal in 90 days using a frequency therapy bio resonance device that I developed. Now it's called qicoil. And at a time I didn't know anything about PMF. I didn't know anything about frequency therapy. I'm just experimenting with things. I had an engineering background, music background and software background. So I kind of like just combined all those things and said, I need to really fix this problem I had for 10 years. I also suffered from depression and I also suffered from a lot of chronic fatigue and brain fog that was really debilitating. And I said, I need to find something. So I just experimented with different things. I tried so many things and I didn't even know if this was going to work. But the moment I turned it on, it was like flipping on a light switch for me. And I felt the energy in my gut. And I said, well, I didn't feel this before something's happening. So I just kept using it every day for about like 20 or 30 minutes a day. And then every day the symptoms got better and better and better. And in 90 days, I healed myself 100% without any surgery, without any pills or any kind of medication. So since then, I said back then it was a pretty large device, right? I said, I need to make something that anybody can just bring with them. And I need to make it so easy to use that even my mom can use it and she's in her 80s now, right? Or just anybody will use it with just a phone. Just turn on your phone, turn on the app, click a button and then you got PMF therapy. So the idea came to me to create a cheek oil that created a PMF device that fits in your palm of your hand. But it is kind of like deceivingly powerful how small this thing is. If you just look at how small it is, it just fits in your palm of your hand, it's this size. And we have an even smaller one, but the power is actually 15,200 milligots. So that's how powerful it is. And this blows any kind of PMF mats or any kind of, well, most PMF devices that you, like you said, cost tens of thousands of dollars out on the market. Super.  Because a lot of biohackers out there are going to know what they are, but the rest of the group that might be listening to this might have no idea what we're talking about. So maybe break down the science a little bit, tell them a little bit about what people have been using this for. Right. So PMF stands for post-electromagnetic frequency. In 2003, NASA did a study of astronauts who were in space. And the problem they had was that they were losing bone density because there was a negravity in space. So they did very rigorous exercises. They vibrated their bones and tried to keep their bone density, but it was very, very difficult. They really had a hard time and they still had a bone density problem. So what they tested was using electromagnetic frequency. And the frequency they used was 7.83 Hertz, which happens to be the frequency of Earth. Earth has the electromagnetic frequency. So they used that and then they found that actually it helped the astronauts keep their bone density somehow. So they basically discovered that us as humans, we need more than just food and air and water. We actually need the electromagnetic field of Earth. We need a energy medicine or we need this energy food that the Earth naturally provides all humans. So they went on to study more and they discovered that the post-electromagnetic field actually increased the cell regeneration by 40% as well. And since then, there have been thousands of different studies using a magnetic field with frequency to treat all sorts of different things. You're probably very familiar with that. Anything from anxiety, sleep to like wound healing to like a whole myriad of different things. What I love about it is I can be wearing my brain tap, whether it be on my heart or my gut or wherever I might be feeling discomfort. And I can do them both at the same time. We usually call this stacking your hacks, right?  So tell me a little bit about what you've been told by people using the device. What have they been using it mostly for? We have generally three kinds of users. So the first one will be mental health. So as we know through the pandemic, a lot of people are having a lot of anxiety, a lot of sleep issues and a lot of depression because of staying at home and lots of fear happening in the media and so on. So they use key calls and what they found was that they sleep a lot better. No more depression and no more anxiety. The mood is elevated and what happens also is because it has a field, you don't even need to contact. It's contactless. It's like a wireless charger for your body. So you don't even need to touch it. You can just put it on the table as long as you're around six feet within this area, you're going to receive the energy. So other people in the area, in your home, let's say your wife, your kids, your dog, your cat, they also receive the energy. So it actually lifts up the mood of the entire family. So there's less friction and so on and everybody gets along a lot better. So we found that and we had a lot of testimonials for that. The second thing is for treating certain things. It's not a medical device, but what people are telling us is that they were actually able to treat a lot of things from skin issues to own healing, regeneration. For example, a dog had surgery and then the next day there's no more scar. After they did stitches and then they use the key calls. Next day they couldn't find the scar. They couldn't find the incision. It just healed by itself that quickly. Well, you can say that they work on the symptoms when the cells are out of balance and bring back balance to the body. I mean, we know that only the medical community can cure anything. So what we're, what we're talking about here is, is helping your body regulate back to its normal frequency because disease, stress, anxiety, fear, just PMF the negative electromagnetic frequencies that are out there are causing everybody to go out of tune. And now we have a device that can fit in the palm of your hand. We're talking to David Wong here, who's an inventor. He's been working first to heal himself. And then now he's, he's out there healing the world, providing basically therapy that you can take out of the clinic and into the world.  How would it, how would a practitioner use the cheat coil in their practice to amplify their results or give a different service where they could then either provide it for free or maybe it could be a paid service that they have when people want to come in and just de stress and really harmonize their body. Right. Well, we have a lot of different practitioners and positions using our products, particularly massage therapists and chiropractors. So it works really well, especially for any kind of inflammation. So if you have shoulder inflammation or any kind of pain, it really helps to increase the blood circulation and reduced inflammation. And for example, my mom had a stroke a couple of years ago and she has severe pain over, over her left side of her body. She couldn't move. She couldn't walk and she took the pain medication and that didn't work either. So I brought it over to she close and in about 10 minutes, her pain was reduced by 60 to 80%. And now she uses it every day and now she's actually driving now too. So it's really great. So we get things like that. Any kind of a physical therapy really helps with it just kind of gives that extra acceleration of whatever therapy that you're using. It just like gives that that extra kick to make it go faster and make it work better. I know that we'll probably have some people out there going, well, is it good for everyone? Is there anyone that shouldn't use the cheek oil? As far as I know, I don't think there's anyone that shouldn't be using it. There's some people asking, can I use it if I have a pacemaker or can I use it if I'm pregnant? Can I use it if I have implants like the metal implants or stuff like that? For that, I just say, well, because this is a non-invasive technology, it's just an electromagnetic field. You can just turn it on a bit and just see how it goes. And if you start feeling discomfort, then just turn it off. It's that simple, right? Can you be used for children, right? The parents can put it in the crib or around the babies when they're sleeping, if they're having trouble with things going on with their body. Is that possible? Yeah, definitely. Like my friend just had a baby. He's about six months old and then he just kept on waking up at night and just like make him lose sleep and then go crazy. So he used the cheek oil and baby sleep left a lot better. This baby didn't wake up as many times at night and it just just generally better, just generally more happy. Take me on a tour just telling me verbally. If I were to go over to qicoil.com forward slash brain tap, what would I be looking at? Because you have a lot of other products on there. I know we're focusing on the cheek oil, but tell us about all the, I mean, you, it looks like almost like a quantum energy store. So tell me a little bit about what's going on over there. Yeah. On our store, we have a, like a plethora of different kinds of frequency therapy devices. The qi-coils are the best selling and they're very popular. So speaking just the qi-coils, we have four major kind of different sizes. So we have the mini, we have the two, we have the three and then we have the max. So the mini starts at two and a half inches. So it's really small and it's like an entry level and it's really low cost and anybody can get it. You can have payment plans for that. So it's like a starter system. And then the two is like the size, if it's in your size of a palm and then the max is five inches. So it's quite large. It's like this big. So this will be good for a whole room or for like a clinic room or put it under one of those massage tables that will work well as well. So that's the qi-coil line. And then with every qi-coil comes different sets of frequencies. We run them through a frequency generator app, which has over 350 programs. It's called the qi-coil app. And then we also have another app called a rife app with over 10,000 programs. So we have the largest number of frequencies, basically on any system. And they're all compatible with our devices. So all of devices. So in addition to the qi-coils, the bigger brother of that is this one here, called the aura coil system. We call the aura coil med bed because these, not only are they arts, not only are they EMF therapy, they're also can be used for med beds, because you can put this underneath the bed. Let's say you have space underneath the bed. You just slide it underneath there, and then turn it on and you turn any bed or any massage table into a med bed. So you don't need to spend $50,000 on a med bed. You can just get one of these. We started at about 3,000 and you can turn yourself into any bed into a med bed. And you don't have to change the bed you're on, because if you change your bed, you might not be comfortable sleeping on it, right? Right. We're talking to David Wong, who's an inventor, a user of the product. He worked to get himself back to balance. Now he's out to balance the world using different frequency devices, PMF devices. And if you go to qicoil.com, if they have a, maybe they have someone coming in that has low density, bone density, especially women, they can start using this. Do you have the protocols and things that you share with the doctors so they know where to put the, the qi coils or the qi coils? Oh yeah, definitely. This is a really good product that you can offer your clients for any kind of post care service, right? Or post surgery recovery, right? Because when you send people home, they might not see you for a week, may not see you for a month. So what they're going to do to help them to, to recover faster. So you can send them home with on these, a set of qi coils that they can bring with them anywhere. They can be watching TV and be getting the therapy. They can be working on their computer and doing it, or they can be driving even and they can do it. They can be getting the therapy. So we have a program. We have an affiliate program. Just go to the bottom of our website. You can apply. And then we have a very rewarding program for anyone who refers people to, to get a set of our systems. And we have all the, we do all the shipping through the United States. We ship in within 48 hours. And we haven't went back guarantee. And we also have a basically 17 days a week customer service. So you have a cheap coil that works with the hardware. And you have an app that runs. What did you say a thousand 400 different frequencies and different two different apps that are going on. We have two different apps. Like the cheap call app will have about 350 programs. Okay. So as you can see, we have things such as total wellness, sexual wellness, DNA sleep for energy, strength. We also have things like for testosterone aging. We have a new tropics section. We have brain longevity section and any kind of mood and emotions for balancing. So it's quite a vast database of basically anything you can think of. We have some quite interesting ones like ayahuasca, DMT, DMT as well. Yeah. All right. So you, if you're into plant-based medicine, you can do it with frequency response. You can go ahead and use a digital drug instead of taking that plant-based medicine in the comfort of your own home. One of the things I love for those listening and wondering on the bigger devices, I have a big device at my office. It's really great for doing things. But if I turn it up too loud, I actually hear the ticking in my ears through the brain tap. But with this device, it's totally, it operates and it doesn't interfere with the brain taps function, which I think is really important for you brain tap users out there. And so you can use this in conjunction, which means you can amplify your, what you're doing. And one of the things we do is we look at things like this under dark field microscopes. And I know that they've done this before they can see it online. And we're going to be showing some pictures of what we've done. We have a dark field microscope at our lab. And what it shows is the cells get energized. And instead of them being all gummed up, they have, now they have this electric charger on them. Tell us a little bit about what's happening there. So the listeners understand what's going on in the bloodstream. Well, we call the G calls like a wireless charger for your body. So just like how phones these days, they just rest on the wireless charger and they get charged without any cables and using something called induction technology because the charger is actually creating a field and energy field. So what these do is actually they, these G calls create an energy field. And as long as you are near it, then all your cells will get that energetic charge. Just like a phone will get an energetic charge. And it's been studied that if your body has a voltage and if it's below a certain voltage, then it becomes diseased, right? And if it's above a certain voltage, then it's impossible for viruses or any kind of pathogens to develop if your body voltage is high enough. So basically it increases your body voltage. So it creates that environment inside and outside your body because your body has something called a biofield. Now it's electromagnetic field that also can tell you how healthier, how well you are. So as everyone knows, just very similar to what light therapy does, this frequency therapy charges the cells and gets them flowing to the body, delivering energy at the core. Remember every cell, those chromosomes are absorbing light sound and vibration. As long as they're healing, it won't go into the cell danger response. The difference between using the cheek oil and standing next to a 5G tower is under a 5G tower, your cells actually start to shrink and they gum up because they're trying to protect each other, just like you would if it was raining really hard and you were in a group, you'd try to cover up to do it. But if it's sunshine and warm, you would open up to the light of the sun. This is kind of what's happening with the PMF. So your body is, we are electrically charged and motivated. I tell people we're electrically activated but chemically motivated. But we need those two to happen. So every thought is chemically charged. If you don't have the energy at the mitochondria level, you can't heal, you can't sleep. Everything that we do, every neurological function depends upon energy. And the slow way to do that, of course, we have to do it is we have to eat food, we have to drink water. But now more than ever before, this quantum medicine really, this quantum energy is becoming more and more popular. What are some of the things you're finding that are being reported back to you, kind of as maybe the top two or three things you're seeing that people, they write you back to you and they say, wow, this cheat coil did X. What is it? Well, one main thing is energy and productivity. As I said, I was suffering from chronic fatigue and brain fog and depression. And I was just having such a hard time just getting through the day and getting anything done and even having the motivation, right? I would have the dreams to do things. I would have the inspiration. I know what I want to do. I know where I want to go, but it was just so hard to get my plane to lift off the ground. It was just like bouncing up and down the ground and but it never took off. So I think a lot. I just talking to the lady last week and she was having the same thing for seven years. She's been struggling with that. And then she got the cheat she called today. So she's so excited about using it. But I basically told her my story was how I was able to just completely transform myself and give myself so much energy and focus and clarity to build a business like she live store and to basically have such a large marketing system and also a huge team and very talented people working with us now. So I couldn't have done that before. Now with with this new energy, I'm able to do so much. It's like basically if you use it, you can multiply whatever you're doing now by two times, five times or 10 times because what it takes is, is not only an energy, but also the quality of energy. Like how much can you get done in one hour with a normal brain and how much can you get done an hour with a super optimized brain is completely different, right? It's 10 or 100 times more. So this is what we get a lot as well is people, not only they change their energy, but because of that, they increase their productivity and because of that, they improve their life. And because of that, they improve all the outcomes of everything else in their life. Right? And the source is the source is the energy. And that's why it's called Chi because Chi is life source, life force. And it's so many things because we're talking about frequencies, right? We talk about vibrations. So we have life vibration, like from the brain tap system, we have the sound therapy from our app, and then we have electromagnetic therapy with our coils. So we're using many different kinds of Chi, many different kinds of vibration and combining them. But all what they all do is just raise that energy, raise that life force inside you. So here we are talking with David Wong, the inventor and the user of the technologies using it every day. And I know there's a group of us using it because we're, we're not really test subjects as this, this is not on trial any longer. You've got, you've sold thousands of them. People are using them literally all over the world. They're getting great satisfaction. And they can go to qicoil.com forward slash brain tap, put brain tap in the checkout so that you receive the 10% that David has given the brain tap nation, which I want to thank you for. So David, as we wrap up the podcast, I want to give you time to either reinforce something that you've said or tell us something I forgot to ask you.  I think it's just to share about my mission as a personal mission and a company mission is we just, we want to heal the world. We want to show people that there's a better way than medication. There's a better way than, than having to suffer or surgery like that. I mean, those things have their place, but I never needed any of that. And that, those things never did anything, but didn't help me that much. And I was able to heal myself from something that was nearly impossible to heal. And I was able to do it with a frequency. And the cool thing about frequency is that it's limitless. It's unlimited. You can use it as many times as you want. You don't have to keep ordering a subscription of it, right? You don't need to keep taking it. You don't need to keep ingesting it. You just turn it on and it's working. You can bring it with you anywhere. It's portable. It's mobile. And I want everybody to be able to experience that. And because I don't want people to suffer like I did. Right?  So my, my goals is to help people get out of suffering. And the more people I can do that, then the more I'm happy, the more I can give this technology, improve it, add more things to it, to share it, and to help you even create abundance with it. Then I feel like I've achieved my life purpose. That's great. That's a noble purpose. And we're out here to change and transform the world one person at a time. And this is something you can travel with. He has a really slick travel case. Everything fits in it. You can either carry it on board or you can put it in your luggage, whatever you want to do. I know that I would, I put it in my backpack so that I can carry it from place to place. It's, it's that small that you can, you can have it there. And if you want to use it even while you're waiting for the layover, it's a easy, it's an easy solution. It's going to help you to re-energize revitalize. One of the things I'm thinking about, David, is I want to see how it helps with jet lag because I travel all the time. And I know BrainTap helps. We're going to see if this will supercharge that experience. Do some pre and post testing with our neural check and see the response. I think we're going to see some magic happen because I love PMF technology. And this is just the, I mean, the latest and greatest because you can basically fit in the palm of your hand like you're saying. I mean, you put the power of PMF in the palm of the hand of people and they can, is now one question I have before we end, is there any place in the body we shouldn't be putting these coils or does it, does it work everywhere?  And these are actually quite powerful. If you put a magnet, you're going to see them jumping on, on the coil and then like jumping everywhere. So I wouldn't put it too close. So as long as it's around like the chest area or below, it's good. Okay. That sounds good. I do know that some people have lower, those are Gauss ones for the brain. But that's good to know. That's good to know. So, but there, if they were in the brain tap, they should be wearing that and then put this, you could put this over your heart. That's what I did. Yeah, you would put it in your belly button area. I like to do that. That's like the Dan Tian and Qi Gong. So there's a lot of nerve endings there. And that's a good place. So you're doing brain tap. This will be perfect to combine with that because you can put on the headset. You can be doing the brain tap therapy and then you can just turn on this and put it on your solar plexus area and have them go up both going at the same time. Now you're experiencing three kinds of therapy at the same time. You've got the light therapy, sound therapy and also the, the coil therapy. So like there's a slogan that we have is energize your body and choose your mood and also empower your purpose. So I want to say that again, David, because you kind of got broke up. So I want to make sure they hear that slogan. Yeah, there's a slogan for Qi Qualls. It's energize your body, choose your mood, empower your purpose. So this is a technology that you can use. You can choose any mood that you want. It's like selecting a radio station. You want to feel happy. You want to feel joyful. You can, we have programs for that. You turn it on and you can basically tune it like Spotify. You can energize your body just like I explained with the energy, with the induction technology. And also you can empower your purpose because now you have energy, now you have a sound and clear mind. Now you can go pursue your purpose. Now you can spend your time and energy to really do the things you really love to do. That's awesome. Again, we're with David Wong, the founder and the creator of the Qi Coil, which is Q-I-C-O-I-L.com forward slash brain tap to get the special input in brain tap at the checkout. So you get the discount 10% discount off your first order. So go there and check it out.  This is something we need to get out to our patients and our clients because this is something you can use at home. This can be used at the clinic.  But what are they doing all the other days? This is something they can recharge and revitalize their nervous system, get their body back in balance and start feeling they can do it in the morning. Is there any limit to the amount of time? Can they do it all day long or do they need to take a break? Yeah, that's a good question. So it depends from person to person. Some people are more energetically sensitive than other people. So you just have to see what the results are. What happens when you use too much is you guys start to get dizzy and nauseous.  So you should turn it off. But up to that point, you don't need to really worry about much. So for most people, they would use it for 20 minutes a day for the first couple of days or so. And then as you use it more, you can use up to an hour. And later on, you can use it all day long if you want to. So the dose is worse like this. So the higher amplitude you turn it up, then it's a higher dose, right? The lower the amplitude than the lower dose, the longer you use it, then it's a bigger dose unless you use a lower dose. So it's up to you how do you want to adjust that? All right, excellent. So please go to the site, qicoil.com forward slash brain tap. And then you can start using this. At least check it out. There's so many things on there. You're going to see products that I've never seen and I've been all over the world. So David's an inventor. He's working on himself. He's working on others. You'll see things that he even shared today about creating your own med bed, which is one of those YouTube sensation where people lay down on these beds and they heal all sorts of things. And I know PMF can do that. That's why we have it at our clinic. We recommend people use PMF. We have a lot of different products out there. And most of them are between 12 and $40,000. This one is very affordable. You know, this is affordable for the end user. So doctors, he has an affiliate program for you. Get ahold of David telling him, Hey, you heard it on the brain tap business journal podcast, and he'll put together a special program for you. So you can start sharing it with your, with your patients or clients in your clinic. So David, thank you for taking the time.  Like you said, helping people with their suffering. We have technology that can help that. So check it out again. QI coil.com forward slash brain tap.  Check it out. Let's start promoting this and changing the world by teaching people that they don't have to go get a pill or a bottle of something they can use frequency medicine. This, this is self recharging. So you don't have to go to the grocery store or go to the drugstore to charge it up. You do it right in your own home. And as long as you got a charge and you've got it plugged in, you're going to start healing your body and, and your life. So please tune in next time to the brain tap business journal podcast until then, please share this podcast with all your family, your friends. And I use the one at home, but I travel a lot. And I've been missing out on my PMF when I'm, when I'm traveling. So thank you, David for creating this. We look forward to help supporting you get this out to the world. Thank you so much. Thank you. You're welcome. And thanks for the opportunity. Please tune into the next episode of the brain tap business journal podcast. Please like and share. And let's keep changing the world with, with different products and technology that is healthy for yourself or your environment for your family and the world. Until then, let's keep bettering billion brains and bettering the lives of those we share the, our air with in our life with. Thank you very much.