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Get Full Access to Fluid Mechanics - 2 Edition - Chapter 6 - Problem 89p
Get Full Access to Fluid Mechanics - 2 Edition - Chapter 6 - Problem 89p

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# Nearly frictionless vertical guide rails maintain a plate

ISBN: 9780071284219 39

## Solution for problem 89P Chapter 6

Fluid Mechanics | 2nd Edition

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Problem 89P

Problem 89P

Nearly frictionless vertical guide rails maintain a plate of mass mp in a horizontal position, such that it can slide freely in the vertical direction. A nozzle directs a water stream of area A against the plate underside, The water jet splatters in the plate plane, applying an upward force against the plate. The water flow rate  can be controlled. Assume that distances are short, so the velocity of the rising jet can be considered constant with height, (a) Determine the minimum mass flow rate  necessary to just levitate the plate and obtain a relation for the steady-state velocity of the upward moving plate for . (b) At time t= 0, the plate is at rest, and the water jet with  mmin is suddenly turned on. Apply a force balance to the plate and obtain the integral that relates velocity to time (do not solve).

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