HW6 - and the wide section? 4) An airplane flies at 3km...


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AAE333 Fall 2011 Homework 6 Due: Wed Oct 12 Ch 3, Sections 1-5 Keywords: Bernoulli Equation, Total Pressure, Stagnation Pressure, Venturi, Pitot tube, Pitot Pressure, Dynamic Pressure, Pressure Coefficient 1) A flow of air is at a density of 1.2 kg/m^3, a pressure of 1atm, a speed of 50m/s in the free stream. What is the stagnation pressure? What is the total pressure? What is the pitot pressure? What is the highest possible pressure you could find anywhere in the flow? Express all answers in terms of Pascals. Also, give pressures in absolute (where 0 is a vacuum) and gage (where 0 is free stream pressure) 2) For the flow over an wing, it is found that the highest flow speed (on top of the wing), is 1.3 times the free stream speed. What is the corresponding pressure coefficient? 3) Air flows in a channel at 30m/s in a section where the width of the channel is 2m. The channel then narrows to .5m. What is the speed in the narrow section? What is the difference between the pressure in the narrow section
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Unformatted text preview: and the wide section? 4) An airplane flies at 3km (standard atmosphere). The pitot tube mounted in front of the wing reads a pressure of 80,000 Pa. What is the speed of the plane? 5) Consider a fluid moving in rigid rotation about the line x=y=0: u=2y, v=-2x. Describe the variation of pressure and total pressure around a circle of radius r. Describe the variation of pressure and total pressure along a radial line extending from r=0. Is Bernoullis equation true or false for this flow? 6) Would Bernoullis equation hold between points just in front of and just behind the compressor in a gas turbine engine? Specifically, would the stagnation pressure increase, decrease or stay the same through the compressor? 7) A sphere of radius 1m is initially full of water. Small holes are placed in the top (to let air in) and the bottom (to let the water drain out). The holes are 1cm in radius. How long would it take for the water to drain out once the bottom hole is opened?...
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