Consider a Newtonian fluid in steady, laminar flow between two parallel plates. The fluid flows parallel to the plates and the velocity varies only in the direction perpendicular to the plates. Explain how the velocity profile allows you to calculate:

a) the average velocity between the two plates

b) the magnitudes of the forces due to shear stress exerted by the fluid on the plates

c) the maximum velocity between the plates.

Note that no calculation is required; you should instead explain and justify the procedure you would follow in each case. It is not necessary to discuss the directions of the forces on the plates in part (b).