Solving linear stability eq.

January 16, 2004, 04:39

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.

January 19, 2004, 05:47

Have a look at the book "Hydrodynamic stability" by Drazin and Reid. It should contain all you need to know.

Tom.

P.S. For marginal stability the spatial and temporal approaches are equivalent.

January 19, 2004, 12:38

In numerical method, I have used once the Keller-Box method to solve O-S type equation.

You may use Shooting Method!

January 19, 2004, 17:01

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).

Prem

January 16, 2004, 04:39	Solving linear stability eq.	#1
K S Chang Guest Posts: n/a	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.

January 19, 2004, 05:47	Re: Solving linear stability eq.	#2
Tom Guest Posts: n/a	Have a look at the book "Hydrodynamic stability" by Drazin and Reid. It should contain all you need to know. Tom. P.S. For marginal stability the spatial and temporal approaches are equivalent.

January 19, 2004, 12:38	Re: Solving linear stability eq.	#3
mp Guest Posts: n/a	In numerical method, I have used once the Keller-Box method to solve O-S type equation. You may use Shooting Method!

January 19, 2004, 17:01	Re: Solving linear stability eq.	#4
Prem Guest Posts: n/a	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). Prem

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