Chapter 8, Problem 31P

The velocity profile for the fully developed laminar flow of a Newtonian fluid between two large parallel plates is given by

   $u(y)=\frac{3_{u0}}{2}\left[1-{\left(\frac{y}{h}\right)}^2\right]$
where 2h is the distance between the two plates, u₀is the velocity at the center plane, and y is the vertical coordinate from the center plane. For a plate width of b, obtain a relation for the flow rate through the plates.