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A liquid flows down an inclined plane surface in a steady, full developed laminar film of thickness h. Simplify the Navier-Stokes equations to model this flow field. Obtain expressions for the liquid velocity profile, the shear stress distribution, the volumetric flow rate, and the average velocity. Calculate the volumetric flow rate in a film of water h = 1 mm thick, flowing on a surface b = 1 m wide, inclined at 15 degrees to the horizontal.

User Timaayy
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Answer:

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The solutions to these questions can be seen in the following screenshots from a solution manual;

A liquid flows down an inclined plane surface in a steady, full developed laminar-example-1
A liquid flows down an inclined plane surface in a steady, full developed laminar-example-2
A liquid flows down an inclined plane surface in a steady, full developed laminar-example-3
A liquid flows down an inclined plane surface in a steady, full developed laminar-example-4
A liquid flows down an inclined plane surface in a steady, full developed laminar-example-5
User Onur Bebin
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