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  3. onertion figure q as shown in figure q1 a layer...

Question: onertion figure q as shown in figure q1 a layer...

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Onertion Figure Q As shown in Figure Q1, a layer of oil of thickness h, flows at a steady rate down a flat plate inclined at an angle 0 to the horizontal. The air in contact with the free surface of the oil layer is at atmospheric pressure and the oil flow rate is such that the air exerts a negligible drag force on the oil. a) From the Navier-Stokes equation, show that for laminar flow of the oil the governing equation is dou dy,--g sin θ where v is the kinematic viscosity of oil (8 marks) b) Hence show that the velocity distribution in the oil layer is (8 marks) c) For an oil with kinematic viscosity 8.0 × 10-5 m3/s, calculate i) the flow rate of oil required per unit width of the plate to maintain an oil layer thickness of 6 marks) (3 marks) 5 mm when the plate is inclined at 40°, and the maximum oil velocity in the layer under these conditions [Total: 25 marks] This question paper consists of 4 questions on 6 printed pages.

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