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Several alpha equations with phase change

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Old   September 30, 2020, 06:10
Default Several alpha equations with phase change
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Hello all,

I am a new begineer of Openfoam with evaporation. After reading some literature, and I found we have sevaral different alpha equations, please see the attached picture.

Actually, the eqn.(1) is used in the well-known 'evapVOFHardt' solver.

eqn.(2) is used in the interPhaseChangeFoam.

eqn.(3) is used in some paper, e.g. ''https://www.sciencedirect.com/science/article/pii/S0021999113003197''

One thing I do not understand well is that in eqn.(2), we can substitute the divU equation into the alphaEqn and we can thus have eqn.(3), is that correct?

I am looking forward to hearing your suggestions on this issue. And please let me know which one is correct and best for droplet evaporation simulations.

Many thanks
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