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Density gradient in a fluid

  1. Jun 1, 2009 #1
    Should be a simple question really can not understand why I am not able to get my head around it though. Assume an isothermal stationary fluid under the influence of gravity. Navier stokes reduces to
    [tex]\frac{dP}{dy}=-\rho g[/tex]
    Differentiating the equation of state [tex]P=\rho R T[/tex]
    [tex]\frac{dP}{dy}=\frac{d\rho}{dy}RT = -\rho g[/tex]
    Shouldn't the pressure gradient and the density gradient be linear under gravity? That's what I get from my simulations

    Edit: Nevermind fixed my simulation, gradient is obviously exponential
    Last edited: Jun 1, 2009
  2. jcsd
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