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Two-Phase Continuity Equation

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Old   March 11, 2010, 04:01
Default Two-Phase Continuity Equation
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Claus Meister
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Hey Folks!

In VOF method the the density distribution is defined by
rho:=rho1 alpha+(1-alpha) rho2.
When I consider the following integral

m(omega)=int_omega rho dV

i obtain the mass in omega. the conservation mass states that by progessing time there is no change in mass at all, i.e.:

Dm/Dt=0

I used Reynolds theorem and carried out a direct evaluation and I obtained

(rho1-rho2) (dalpha/dt)+(rho1 alpha+(1-alpha) rho2) div u=0

Now the question is, is that correct conuity form for VOF method?

Cheers,

Claus
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