Consider the stationary flow field U(x) =i- (E3.1) in the region 0 ≤ z ≤h. Show that this is an exact stationary solutio
Posted: Tue Jul 05, 2022 8:54 am
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)