Consider the stationary flow field U(x) =i- (E3.1) in the region 0 ≤ z ≤h. Show that this is an exact stationary solutio

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Consider The Stationary Flow Field U X I E3 1 In The Region 0 Z H Show That This Is An Exact Stationary Solutio 1 (39.77 KiB) Viewed 10 times

Consider the stationary flow field U(x) =i- (E3.1) in the region 0 ≤ z ≤h. Show that this is an exact stationary solution of the Navier-Stokes equations for a fluid confined between stationary plates at z = 0 and z = h, and subject to a pressure gradient in the x-direction. Compute the "friction coefficient" Cf := Uz(h-z) h² AP/L T²/h R = where AP/L is the imposed gradient, and U is the mean velocity as a function of the Reynolds number (E3.2) VŪ h (E3.3)