Consider a polymer (with density p and viscosity µ) flowing in between two parallel plates in a vertical position. Both plates are stationary at x = 0 and x =

h. A downward pressure is applied -dp/dz which is constant across the z-direction, which is also aided by gravity acting on the negative z-direction. Starting with the Navier-Stokes equations, find the simplified equation that defines the fluid velocity vz. State your assumptions to achieve this simplified equation. (7pts) b. If h = 1.5 cm and the liquid has a p= 1120 kg/m³ and a viscosity µ= 2 Pa s, draw the velocityprofile (vz (x)) fordp= 0 and –dzdp= 15,000 Pa/m. (3 pts)dz