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Pressure wave in pipe

  1. Feb 16, 2015 #1
    1. Problem statement
    • In a straight pipe there is at t = 0 an over-pressure for |x| ≤ a of the form p0(x) = A(1–
    • |x| ), where A is small. The velocity is zero at t = 0. Determine the pressure in the
    • pipe for x > 0 and t > 0. Determine also the pressure at the closed end located at x = L (L > a)
    2. Relevant equations
    D'Alembert Equation

    ## p(x,t) = \frac{p(\epsilon) + p(\eta)}{2} +\rho c \frac{u(\epsilon) - u(\eta)}{2} ##
    where p is the pressure, u is the velocity
    ## \epsilon = x-ct ##
    ## \eta = x+ct ##


    3. The attempt at a solution

    I made characteristics in a t-x diagram, but I do not know how to proceed.
     
  2. jcsd
  3. Feb 21, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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