Solving Boundary Condition for Wave Diffusion Equation in Hollow Cylinder

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Homework Help Overview

The discussion revolves around the boundary conditions for a wave diffusion equation in a hollow cylinder. The original poster expresses difficulty in understanding how to apply these conditions effectively.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need for precision in defining the problem, particularly regarding the boundary conditions. There are inquiries about the nomenclature used and whether the problem involves a PDE for velocity potential. The original poster mentions an internal radius condition instead of a typical boundary at r=0.

Discussion Status

Participants are actively engaging with the original poster's queries, offering suggestions for clarification and exploring the implications of different boundary conditions. There is no explicit consensus, but some guidance has been provided regarding the nature of the boundary conditions and their influence on the problem.

Contextual Notes

The original poster notes a lack of a boundary condition at r=0, which complicates the problem. This missing information is a point of contention in the discussion.

mhmonon
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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
 
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Welcome to PF!

Hi mhmonon! Welcome to PF! :smile:
mhmonon said:
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. o:)

Show us how far you got, and where you're stuck, and then we'll know how to help! :smile:
 
You need to be more precise with what you are doing. That will directly influence what the BCs are.
 
here I attached the equation with the boundary value.
Please see the attachment.
 

Attachments

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