Hydrodynamic stability- Rayleigh equation - Couette flow

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Discussion Overview

The discussion centers around the stability problem in the incompressible inviscid limit, specifically focusing on the dispersion relation in the Couette flow regime where two infinite plates move against each other. Participants seek references and ideas related to the application of the Rayleigh equation in this context.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant is attempting to formulate the stability problem and find the dispersion relation for Couette flow using the Rayleigh equation.
  • Another participant suggests that there are many references available online regarding Couette flow stability.
  • A participant questions whether the original poster has explored specific references, such as those by Chandrasekhar.
  • The original poster requests more specific references after the mention of Chandrasekhar.
  • A link to a specific book is provided as a reference, with a comment on its pricing.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on specific references or approaches to the problem, and multiple viewpoints regarding the adequacy of existing literature are present.

Contextual Notes

There is an implicit assumption that familiarity with certain references is necessary, but the specific applicability of those references to the posed problem remains unresolved.

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TL;DR
Folks,
I'm trying to formulate the stability problem in the incompressible inviscid limit and find the dispersion relation in the Couette flow regime. As shown, the 2 infinite plates move one against the other, unlike the "standard" case where one plate is static and the second moves. I'm trying to use the Rayleigh equation but I'm not sure how to do this.

Any references or ideas are welcome :)
Folks,
I'm trying to formulate the stability problem in the incompressible inviscid limit and find the dispersion relation in the Couette flow regime. As shown, the 2 infinite plates move one against the other, unlike the "standard" case where one plate is static and the second moves. I'm trying to use the Rayleigh equation but I'm not sure how to do this.
Any references or ideas are welcome :)

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If you google ”couette flow stability” plenty of references come up.
 
Should I assume you've already explored references like Chandrasekhar?
 
boneh3ad said:
Should I assume you've already explored references like Chandrasekhar?
No, can you be more specific?
 
Much Appreciated!
 

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