An incompressible fluid flows steadily through the rectangular duct in the figure. The exit velocity profile is given by u ≈ umax(1 €“ y2/b2)(1 €“ z2/h2). (a) Does this profile satisfy the correct boundary conditions for viscous fluid flow? (b) Find an analytical expression for the volume flow Q at the exit. (c) If the inlet flow is 300 ft3/min, estimate umax in m/s.

Transcribed Image Text:

INLET 2b 2h ry EXIT x, u