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5. A sheet of a Newtonian fluid of thickness h, density p and viscosity u flows steadily down a smooth inclined plate under the influence
5. A sheet of a Newtonian fluid of thickness h, density p and viscosity u flows steadily down a smooth inclined plate under the influence of gravity as shown in Figure Q6. The upper side of the sheet is exposed to the atmosphere. Atmosphere h Sheet of water Smooth inclined plate el Figure Q5 a. By neglecting the end effects and assuming that the direction of flow is down the plate only, show that by using the appropriate continuity equation and equation of motions (Navier-Stokes equation) for incompressible flow given in the Dokumen Terhad, the governing equation is given by: dry Pg sino dx (5.1) (Hint: Choose an appropriate coordinate system and use the information about the flow and the assumptions to set many terms in the appropriate equations to zero and to obtain a single ordinary differential equation) (6 marks)
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