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2. Consider a polymer (with density p and viscosity p) 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 v. State your assumptions to achieve this simplified equation. (7pts)

Fig: 1

Fig: 2