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Boundary Condition 
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#1
Nov109, 09:46 AM

P: 5

Hi all,
I am facing difficulties about boundary condition in Hollow Cylinder. its like wave diffusion equation in hollow cylinder. can anyone help me out to solve this problem. I need some good reverences. Thank you 


#2
Nov109, 11:15 AM

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P: 26,148

Hi mhmonon! Welcome to PF!
Show us how far you got, and where you're stuck, and then we'll know how to help! 


#3
Nov109, 12:10 PM

Sci Advisor
P: 5,095

You need to be more precise with what you are doing. That will directly influence what the BCs are.



#4
Nov109, 03:48 PM

P: 5

Boundary Condition
here I attached the equation with the boundary value.
Please see the attachment. 


#5
Nov109, 08:59 PM

Sci Advisor
P: 5,095

I think your nomenclature is a bit different than what I am used to seeing. You are solving a PDE for the velocity potential, correct? Your boundary conditions are on omega which is usually circular frequency. Is that correct?



#6
Nov109, 09:08 PM

P: 5

actually it is a wave diffusion equation in hollow cylindrical problem.. I think I can solve this problem.



#7
Nov209, 04:23 AM

Math
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PF Gold
P: 39,682

that is the equation for r, after you have separted variables r and [itex]\theta[/itex]. One "unstated" boundary condition is that the function must be finite at r= 0. That gives you one of your constants immediately.



#8
Nov209, 08:04 AM

P: 5

hi HallsofIvy,
Thanks for your reply. Yep you are right. But I am facing here another problem. The problem is that I have no condition at r=0; Instead of r=0 I have another condition that is ri(internal radius)=0. So I can not eliminate one. Bye 


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