Solving Boundary Condition for Wave Diffusion Equation in Hollow Cylinder

[mhmonon]

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

 

[tiny-tim]

Welcome to PF!

Hi mhmonon! Welcome to PF!

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

We're all very reverend here.

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

 

[FredGarvin]

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

 

[mhmonon]

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

 

[FredGarvin]

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?

 

[mhmonon]

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

 

[HallsofIvy]

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

 

[mhmonon]

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