A liquid flows down an inclined plane surface in a steady, fully developed lamin

Question

A liquid flows down an inclined plane surface in a steady, fully developed laminar film of thickness h. Simplify the continuity and Navier-Stokes equations to model this flow field. h =1 mm thick, flowing on a surface b =1 m wide. Assume the liquid film is horizontal (i.e. theta=0 degrees) and that the flow is driven by a constant shear stress on the top surface (y=h),Tyx = C. Assume that the liquid film is thin enough and flat and that the flow is fully developed with zero net flow rate (flow rate Q = 0). Determine the velocity profile u(y) and the pressure gradient dp/dx.

Explanation / Answer

A liquid flows down an inclined plane surface in a steady, fully developed lamin

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