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A fluid is flowing between two flat plates

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A fluid is flowing between two flat plates where one of the plates is moving at a constant velocity of Vw in the same direction. Derive the velocity profile for fluid flow in the x-direction. Show that it is linear. Determine the momentum flux at the moving wall.

Assumptions
-lamina flow
-incompressible
-isothermal
-steady state.

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Solution Summary

The solution provides diagram and detailed instructions, explanations for the problem.

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Please see the attached file.

Draw the diagram as below (see attachment).

Let u be the velocity. ux is the velocity in the x-direction

Momentum equation

At steady state, the time derivative of velocity u is zero. As long as there is no body force or pressure ...

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