Consider flow between infinite, parallel plates. The upper plate moves to the right (+x direction) at vx = 3 mm/s. There is no pressure variation in the x-direction, but there is a constant body force...

Consider flow between infinite, parallel plates. The upper plate moves to the right (+x direction) at vx = 3 mm/s. There is no pressure variation in the x-direction, but there is a constant body force in that direction due to the action of an imposed electric field, Fbody = 800 N/m³. The gap between the plates is h = 0.1 mm. The liquid viscosity is 0.02 Ns/m².

a. Derive the differential equation governing the liquid flow.

b. What are the boundary conditions if the lower plate at y = 0 is stationary?

c. Where is the location of maximum velocity located?

d. What is the volumetric flow rate between the plates for a plate width of 0.1 m?