Water is compressed to pi=20psi between two square 37mm-length parallel plates h

Question

Water is compressed to pi=20psi between two square 37mm-length parallel plates having a separation of d=2mm. The water is to he completely removed by connecting one of the plates' open sides to a variable pressure tank, the pressure, po of which can be independently controlled. Based on a Cartesian coordinate system the origin of which is placed at midpoint of the separation gap the fluid's velocity can be approximated as purely axial (i. e. velocity points in the x direction only) with a profile given by v(y) = k[ 1-4 (y / d)2](1-po / pi) for -d / 2 y d / 2 Plot1 the time it takes to completely remove the water between the plates as a function of po (for values 0 po pi) if k=0. 1m/s. Assume that the fluid is being withdrawn uniformly in the z-direction and that there is no leakage from the other three open sides.

Explanation / Answer

this may help you 1000 Solved Problems in Fluid Mechanics (includes Hydraulic ... books.google.com/.../1000_Solved_Problems_in_Fluid_Mechanics.h...

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