The approximate velocity profile in Prob. 3.18 for steady laminar flow through a rectangular duct,
u = umax [1 €“ (y/b) 2 ][1 €“ (z/h)2]
Satisfies the no-slip condition and gave a reasonable volume flow estimate (which was the point of Prob. 3.18). Show, however, that it does not satisfy the Navier-Stokes equation for duct flow with ∂ p/∂ x equal to a negative constant. Extra credit: the EXACT solution!

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