Discuss the below problem:
Q: 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.
