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Question: 4 a thin layer of viscous fluid of constant density...

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4. A thin layer of viscous fluid of constant density ρ flows down an inclined plane that makes an angle0 to the horizontal as shown below. The kinematic viscosity of the fluid isv and the gravitational acceleration isg.You can assume that the atmosphere above the liquid film has no effect and that the pressure at the free surface is constant The thickness of the fluid layer ish . At the free surface the ถuid shar stress is zcro and the flow is independent of x. Show that the velocity distribution in the film is given by Hint: Find the components of the gravitational acceleration in the directions of the coordinate system given. The two-dimensional, incompressible, viscous equations of motion including -..---끓읗, ..|&증)
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