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Help with Gas dynamics problem

  1. Oct 15, 2013 #1
    1. The problem statement, all variables and given/known data
    for a weak shock wave (p2-p1)/p1=epsilon
    show that (s2-s1)/cv=(gamma^2-1)epsilon^3/(12*gamma^2)+higher order terms


    HINT: it is helpful to subtract this equation [p]/<p>+gamma[v]/<v>=0
    from the equation [ln p(v)^gamma]=/cv
    before expanding in terms of epsilon
    [x]=x2-x1
    <x>=(x1+x2)/2


    2. Relevant equations



    3. The attempt at a solution

    I subtracted the two equations given expanded the natural log terms according to ln ab=lna+lnb
    and taylor series series expansion and im stuck at a massive equation with square terms of p2 and p1 which is no where near the answer. any help!
     
  2. jcsd
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