Two vertical parallel plates are spaced 0.01 ft apart. If the pressure decreases at a rate of 60 psf/ft in the vertical z-direction in the fluid between the plates, what is the maximum fluid velocity in the z-direction? The fluid has a viscosity of 10-3 lbf-s/ft2 and a specific gravity of 0.80.

umax = 0.1259ft/s

Explanation:

Given:

•Distance between plates, B = 0.01ft

•Pressure difference decrease,

•Fluid viscosity, u = 10^-³lbf-s/ft²

Specific gravity, S = 0.80

Max velocity in the z-direction will be:

Substituting for h in the first equation, we have:

= -0.20192

Substituting dh/dz value in the first equation (umax), we have:

umax = 0.1259ft/s

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