For 10 points, name this law of fluid dynamics that states that an increase in the speed of a fluid will result in a decrease in the pressure or the fluid's potential energy.
This law follows directly from the RankineHugoniot conditions in the case of a stationary shock. This law can be found for compressible barotropic fluids by integrating the arclength component of the momentum part of the Euler equations. A direct consequence of this law states that the speed of a fluid exiting a hole at the bottom of a tank filled to a height h is equal to the square root of 2gh; that is (*) Torricelli's law. Conservation of energy leads to this law by considering that total energy is the same all along a streamline. One statement of this law is that v squared over two plus g z plus p over rho is equal to a constant. For 10 points, name this law of fluid dynamics that states that an increase in the speed of a fluid will result in a decrease in the pressure or the fluid's potential energy.
This law follows directly from the RankineHugoniot conditions in the case of a stationary shock.
Bernoulli's principle