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Fluids - Euler Equation help

  1. Oct 23, 2008 #1
    I'm stumped on a HW question that I just can't seem to proceed on.

    1. The problem statement, all variables and given/known data

    An incompressible ( rho = constant ) flow in 2 dimensions [x = (x,z)], with F = (0,-g), satisfies Euler's equation. For this flow, the velocity is u = (u0,w(x)), where u0 is a constant, with w = 0 on x = 0 and p = p0 on z = 0. Find the solution for w and p, and show that it contains one free parameter.

    3. The attempt at a solution

    I've managed to get p(z) = p0 - rho*g*z, though I don't really know where to go from there or if I've even done it right to begin with.

    Any guidance would be much appreciated, thankyou.
     
  2. jcsd
  3. Oct 23, 2008 #2

    HallsofIvy

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    Perhaps you should start by actually writing down Euler's equation and trying to solve it.
     
  4. Oct 24, 2008 #3
    That's what I did do and ended up with that p(z) I stated.

    Anyhow, I've managed to make headway now. Thanks for your help.
     
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