MHD energy equation

  • Thread starter MasterD
  • Start date
13
0
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?
 

tiny-tim

Science Advisor
Homework Helper
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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.)?
 
13
0
Hi MasterD! :smile:

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

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