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Boundary Condition

  1. Nov 1, 2009 #1
    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. jcsd
  3. Nov 1, 2009 #2


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    Welcome to PF!

    Hi mhmonon! Welcome to PF! :smile:
    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:
  4. Nov 1, 2009 #3


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    You need to be more precise with what you are doing. That will directly influence what the BCs are.
  5. Nov 1, 2009 #4
    here I attached the equation with the boundary value.
    Please see the attachment.

    Attached Files:

  6. Nov 1, 2009 #5


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    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?
  7. Nov 1, 2009 #6
    actually it is a wave diffusion equation in hollow cylindrical problem.. I think I can solve this problem.
  8. Nov 2, 2009 #7


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    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.
  9. Nov 2, 2009 #8
    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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