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Momentum equation of interFoam?

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Old   March 25, 2010, 23:16
Default Momentum equation of interFoam?
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bubbles
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Dear Foamer,
I am a beginner in interFoam of OpenFoam. I wonder if there are someone could show me how the momentum equation of interFoam in version 1.6.x is demonstrated below:

ddt(rho,U) + div(rhophi,U) = grad(P) + rho*g + fv + laplace(mueff,U)

inwhich:
fv : surface tension force
rho = alpha1*rho1+(1-alpha1)*rho2
U = alpha1*U1+(1-alpha1)*U
rhophi = rho*U + alpha1*(1-alpha1)*(rho1-rho2)*(U1-U2)

I tried from two equations of each phase, but I am not successful.

Thanks a lot.

Milou
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Old   March 26, 2010, 07:58
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Claus Meister
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Check the internet for Ruschke's Ph. D. Thesis!

In this forum is this thesis serveral times mentioned, just keep looking at it.

If ya can't find it, send me aderess to where I can send it!

Cheers
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Old   March 26, 2010, 09:14
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Claus Meister
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http://powerlab.fsb.hr/ped/kturbo/OpenFOAM/docs/HenrikRuschePhD2002.pdf
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Old   March 26, 2010, 12:14
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Thanks for your quick reply.
In fact, I had read Rusche's PhD thesis several times but if I wouldn't make a mistakes and what I understand is that the chapter 3: Two Fluid Methodology describes the averaged equation for each phase and the model for the last term in the averaged momentum equation; and the chapter 4: Interface capturing Methodology talks about the mometum equation for a domaine with an interface by using the indicator gamma or alpha1.
By looking all two chapters, I could not find some things similar to:
ddt(rho,U)+div(rhophi,U)=....
and how can we explain that:
rhophi = rho*U + alpha1*(1-alpha1)*(rho1-rho2)*(U1-U2)

Thanks for your answer.

Milou
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Old   March 28, 2010, 04:17
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Claus Meister
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Properly you have already found it:

VOF method

In this blog there is a hot discussion on going.

Cheers,
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Old   March 28, 2010, 07:54
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Dear Claus Meister,
Thanks for your indication on VOF method blog. I will go to these comments on the blog immediately.
Best regards
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Old   March 28, 2010, 08:46
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Dear Claus,
I read the blog of VOF method, really, there are many comment on VOF method, especially on the gamma equation, on interface properties base on gamme discusion, on MULES...
And I found that there are the thesis of Patricio Bohorquez is very interesting, especially the definition of "mass velocity" and "volumetric velocity". But I could not find out my question there.
Thanks for your patient support.
Best regards.
Milou
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Old   September 13, 2012, 15:27
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see equation 4.24 in Rusche's thesis. That's the form of the momentum equation closest to the code as far as I could find.
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Old   January 4, 2013, 04:44
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Hossein Yahyazadeh
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Quote:
Originally Posted by idrama View Post
Hi idrama,
Would yo please send me the PDF file of this thesis, I cannot access to it.
Thanks
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Old   January 5, 2013, 03:09
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you can also check this journal:
http://pre.aps.org/abstract/PRE/v79/i3/e036306
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