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Interesting Bernoulli

  1. Nov 3, 2009 #1
    1. The problem statement, all variables and given/known data
    I recently was given an interesting problem I thought I'd share with the community here. It's a fun exercise in mathematics. Given the equation:

    Po/P = [1+((k-1)/2)*Ma^2]^(k/(k-1))

    From this stagnation ratio, derive the Bernoulli Equation:

    Po = P + 1/2 * rho * V^2

    Anyway, it's not for homework, so no real need to solve it. Hope you enjoy deriving equations as much as I do. Have fun!
     
  2. jcsd
  3. Nov 3, 2009 #2
    what are k, M, a?
     
  4. Nov 3, 2009 #3
    k in this case is 1.4 (for air)

    Ma is the mach number.
     
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