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Math Help - diffusion equation

  1. #1
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    diffusion equation

    Could someone please help me with the following PDE problem?

    The ends of a pipe of length L are attached to 2 reservoirs of concentrations u0 (left) and u1 (right). What is the steady state rate at which the chemical diffuses through the pipe?

    I know that the steady does not depend on time i.e. du/dt = 0. However I do not know where to go from here. I know how to solve for the steady state solution, but the answer is rate = -D*pi*r^2[(u1-u0)/L]

    Thanks in advance

    Arlington
    Last edited by CaptainBlack; January 17th 2011 at 07:35 PM.
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