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

Consider a polymer (with density and viscosity ) flowing in between

Consider a polymer (with density and viscosity ) flowing in between two parallel plates in a vertical position. Both plates are stationary at x=0 and x=h. A downward pressure gradient is applied (-dp/dz) which is constant across the z-direction, which is also aided by gravity acting on the negative z-direction. a. Starting with the Navier-Stokes equations, find the simplified equation that defines the fluid velocity vz. State your assumptions to achieve this simplified equation. (4 pts) b. If h=2cm and the liquid has a =1200kg/m3 and a viscosity =3Pas, what is the maximum downward velocity, vz,max, when dzdp=15,000Pa/m.(2pts)

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