Problem

Consider the steady, laminar flow of an incompressible fluid through the horizontal rect...

Consider the steady, laminar flow of an incompressible fluid through the horizontal rectangular channel of Fig. P6.15R. Assume that the velocity components in the x and y directions are zero and the only body force is the weight. Start with the Navier–Stokes equations. (a) Determine the appropriate set of differential equations and boundary conditions for this problem. You need not solve the equations. (b) Show that the pressure distribution is hydrostatic at any particular cross section.

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