MHB Fluid Dynamics in Action: (Mechanics)

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The discussion focuses on the analysis of viscous fluid flow between two rigid boundaries, with one boundary moving at a constant speed and the other at rest. The flow is identified as plane Couette flow, which is characterized by the velocity profile created by the moving boundary. Participants reference a specific resource for further understanding of the topic, emphasizing the importance of the boundary conditions. The problem highlights the need to consider the orientation of the moving and stationary plates. This exchange provides clarity on the mechanics of fluid dynamics in this specific scenario.
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Viscous fluid flows between two rigid boundaries at y=0, y=h, the lower boundary moving in the x direction with constant speed U. The upper boundary is at rest. The boundaries are porous and the vertical velocity is V (constant) at each one. Find the resulting flow.
 
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If I am not mistaken, you are looking for plane Couette flow!

Have a look at
http://www.maths.manchester.ac.uk/~dabrahams/MATH45111/files/lecture11.pdf (first three pages)

Note that in your problem, the moving plate and the one at rest, are the other way around!

Hope this helps!

Kindest regards
 

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