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1. Shell momentum balance for flow between parallel plates. A fluid of constant density is flowing in laminar at steady state in the horizontal x direction between two flat and parallel plates. The distance between the two plates in the vertical y direction is 2yo. a) Derive the equations for momentum flux, velocity profile, average velocity, volumetric flow rate and the force exerted by the fluid on the plate. b) Show the shear stress and velocity profiles on the figure.