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1D Wave equation problem

  1. Jan 28, 2017 #1
    1. The problem statement, all variables and given/known data
    Hello-

    I'm having trouble understanding a problem:

    Consider a sealed 1D pipe of length L. At t=0, v=0 everywhere and the pressure is given by: P=P_0 +δP

    and δP = (p-bar)x/L

    P_0 and (p-bar) are both constants.

    and I'm supposed to find density (ϱ) as a function of x and t.

    I don't understand why I'm given the pressure, and how to find δϱ.


    2. Relevant equations


    3. The attempt at a solution
    Using the boundary conditions, I have an expression for the velocity with sin terms. But I don't know how to use that to find the density as a function of (x,t).
     
  2. jcsd
  3. Jan 30, 2017 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    The gas laws give you a relation between pressure and density.
     
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