I read a paper on modeling a two dimensional salt gradient solar pond and the author said that he got the vorticity transport equation by applying the curl to the variable density Navier-Stockes equation, does this make sense, can anyone help plz?
The "answer" can be found on Wikipedia at http://en.wikipedia.org/wiki/Vorticity_equation
There you can see the key steps for deriving the vorticity transport equation, starting from the Navier-Stokes equations with variable density.
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