5_04 - Problem 5.4 Hydraulic jump The top figure shows a...

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Problem 5.4 Hydraulic jump The top figure shows a "hydraulic jump" in a steady, two-dimensional water flow with a free surface. The "jump" is a relatively sudden increase in liquid depth in the direction of the flow, and a decrease in velocity, which is induced by a higher downstream water elevation due to flow blockage. In real cases the flow occurs because the bottom slopes downward slightly. As long a the inclination is small, the horizontal approximation of the figure is approximately OK. A kind of hydraulic jump may be observed on the ocean beach at the point where an incoming wave running up over an inclined beach meets the water from the previous wave, which is now flowing back toward it. Inside the jump shown in the figure, the water tends to flow forward (rightward) near the bottom, carried by its momentum, and backward near the free surface, as a result of the hydrostatic pressure gradient. This results in turbulence and strong viscous dissipation inside the water in the jump region. Bernoulli's equation is certainly not applicable
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This note was uploaded on 02/27/2012 for the course MECHANICAL 2.25 taught by Professor Garethmckinley during the Fall '05 term at MIT.

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5_04 - Problem 5.4 Hydraulic jump The top figure shows a...

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