Hydrodynamic stability- Rayleigh equation - Couette flow

[URIA]

TL;DR Summary

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 :)

 

[Frabjous]

If you google ”couette flow stability” plenty of references come up.

 

[boneh3ad]

Should I assume you've already explored references like Chandrasekhar?

 

[URIA]

Should I assume you've already explored references like Chandrasekhar?

No, can you be more specific?

 

[boneh3ad]

No, can you be more specific?

https://www.amazon.com/dp/048664071X/

I'm actually shocked it isn't half that price.

 

[URIA]

Much Appreciated!