Graduate Hydrodynamic stability- Rayleigh equation - Couette flow

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The discussion focuses on formulating the stability problem for incompressible inviscid Couette flow, where both plates move relative to each other. The user seeks guidance on applying the Rayleigh equation to derive the dispersion relation in this context. References like Chandrasekhar are mentioned, but the user requests more specific suggestions. There is also a brief mention of a book link, highlighting its unexpected price. Overall, the conversation centers on finding resources and methods for analyzing stability in this unique flow scenario.
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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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