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Old   January 16, 2004, 04:39
Default Solving linear stability eq.
K S Chang
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I want to solve the linear stability equation.

Exactly the equation is Rayleigh equation or Orr-Sommerfeld equation.

In my text, there are some methods about temporal stability solution, not about spatial stability.

How can I solve this equation about spatial stability ??

If there is good reference, please introduce to me.

Thanks in advance.
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Old   January 19, 2004, 05:47
Default Re: Solving linear stability eq.
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Have a look at the book "Hydrodynamic stability" by Drazin and Reid. It should contain all you need to know.


P.S. For marginal stability the spatial and temporal approaches are equivalent.
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Old   January 19, 2004, 12:38
Default Re: Solving linear stability eq.
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In numerical method, I have used once the Keller-Box method to solve O-S type equation.

You may use Shooting Method!
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Old   January 19, 2004, 17:01
Default Re: Solving linear stability eq.
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You could fix the spatial growth rate and then try to solve for Reynolds number as the eigenvalue (if you are doing it the other way around right now).

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