SAE 30 oil at 20◦C flows between two horizontal 0.50-m-wide parallel plates separated by 30 mm. The length of the top and bottom plates in the direction of flow is 2 m, the bottom plate is stationary,...

SAE 30 oil at 20◦C flows between two horizontal 0.50-m-wide parallel plates separated by 30 mm. The length of the top and bottom plates in the direction of flow is 2 m, the bottom plate is stationary, the top plate moves at 3 cm/s, an adverse pressure gradient of 700 Pa/m is applied between the plates, and the flow is laminar between the plates. Determine the flow rate between the plates and the force that must be applied to move the top plate.