Help with fluid dynamics problem

In summary, fluid dynamics is the study of the movement and behavior of liquids and gases. Bernoulli's principle states that as fluid speed increases, pressure decreases, and this principle is used to explain phenomena like lift in airplanes. Real-world applications of fluid dynamics include designing aircraft and understanding blood flow. To solve a fluid dynamics problem, one must use mathematical equations and gather relevant data. Challenges in studying fluid dynamics include complex models, unpredictable flow, and expensive experiments.
  • #1
URIA
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Homework Statement
Hi all,
I would like to solve the attached .
Relevant Equations
Can someone help with the attached?
Dear All,
I tried to solve the attached question. it's about Couette flow, where the 2 plates move.
2023-01-13 110841.png

in fact, I have to find the stability condition. is someone familiar with this and can help?
many thanks,
uria
 
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  • #2
Do you have a general idea on how to do the stability analysis? Basically it's expanding around the un-perturbed given solution and linearizing the NS equations.
 
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  • #3
HI,
I assume I have to use the rayleigh equation because of the incompressible inviscid limit.
 

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