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Dear all

I am facing a problem related to non-dimensioning bubbble rising process in a quiescent medium. Almost all papers have described only two parameter ( Morton and Evotos number) which describes the process. However, the way I non-dimensionalize the Navier-Stokes equation, I get 3 non-dimensional numbers viz. Reynolds number, Froude number and Weber number, all sitting in the denominator of diffusive fluxes, gravitational body force term and surface tension term respectively. Now how to get these 3 numbers out of two given numbers(Morton and Evotos)?

Otherwise, please suggest the other method by which we can get only these two numbers, sitting in the Navier-Stokes equation.

Any sort of help is highly appreciated.

Jai