Fluid Dynamics in Action: (Mechanics)

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SUMMARY

The discussion focuses on the analysis of viscous fluid flow between two rigid boundaries, specifically identifying the scenario as plane Couette flow. The lower boundary moves in the x-direction with a constant speed U, while the upper boundary remains stationary. The vertical velocity V is constant at both boundaries, and the problem is clarified by referencing a specific lecture document from the University of Manchester. The user is advised to note the orientation of the moving and stationary plates in their analysis.

PREREQUISITES
  • Understanding of fluid dynamics principles, particularly viscous flow.
  • Familiarity with plane Couette flow concepts.
  • Basic knowledge of boundary conditions in fluid mechanics.
  • Ability to interpret mathematical models and equations related to fluid flow.
NEXT STEPS
  • Review the lecture notes on plane Couette flow from the University of Manchester.
  • Study the mathematical derivation of viscous flow equations.
  • Explore the effects of varying boundary conditions on fluid behavior.
  • Investigate computational fluid dynamics (CFD) tools for simulating viscous flows.
USEFUL FOR

This discussion is beneficial for fluid mechanics students, researchers in fluid dynamics, and engineers working on applications involving viscous fluid flow between boundaries.

ra_forever8
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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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