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Acoustic pressure wave from a spherical explosion

  1. Feb 2, 2009 #1
    1. The problem statement, all variables and given/known data

    The acousitc wave from a sperical explosion is sometimes represented by a function:

    p = 0 for t < r/c
    p = B / r * exp [ - (t-r/c) / t0 ] for t > r/c (or equal)

    a) Does this represent a possible soltion for the wave equation?
    b) Find the corresponding velocity field, in particular show that there is a finite residual velocity B*t0/(rho*r^2) when t goes to the infinite.
    c) Draw the corresponding wave diagram
    d) Suggest a modification for the pressure wave, such that the residual velocity is zero.

    2. Relevant equations

    Wave equation:

    d^2 psi / dt^2 = c0^2 * nabla^2 * psi

    3. The attempt at a solution
     
  2. jcsd
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