A fluid flows between two plates separated by a distance, d. The velocity profile is measured, and the data can be fit to the following function. The fluid viscosity is a constant, μ, and the system...

A fluid flows between two plates separated by a distance, d. The velocity profile is measured, and the data can be fit to the following function. The fluid viscosity is a constant, μ, and the system length is L.

a. Determine an expression for the pressure drop (dP/dz) driving the flow.

b. What is the force exerted on the fluid at x = 0?