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MHD energy equation

  1. Aug 17, 2009 #1
    Is this the right format of the energy equation (equation 2.10)?

    http://www-solar.mcs.st-and.ac.uk/~alan/sun_course/Chapter2/node3.html#energy

    [tex]
    \frac{\rho^\gamma}{\gamma-1}\frac{D}{Dt}\left(\frac{p}{\rho^\gamma}\right)=-L
    [/tex]

    I know it in a different format:

    [tex]
    \frac{dp}{dt}+\gamma p\nabla\cdot\mathbf{v}=-L
    [/tex]

    Where is the difference coming from?
     
  2. jcsd
  3. Aug 18, 2009 #2

    tiny-tim

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    Hi MasterD! :smile:

    Isn't your second equation the case for ρ = constant (and with D/Dt being the convective time derivative, ∂/∂t + v.)?
     
  4. Aug 18, 2009 #3
    Thanks for your reply Tim. [tex]\rho[/tex] is not constant, however.. D/Dt is indeed the convective time derivative.
     
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