The velocity profile for the fully developed laminar flow of a Newtonian fluid between two...

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

where 2h is the distance between the two plates, u₀ is 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.