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Direct numerical simulation of species transport equation with phase change

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Old   October 12, 2018, 08:35
Default Direct numerical simulation of species transport equation with phase change
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Peter Maroul
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Hello all.

I am interesting to simulate a concentration(species) field for a phase change problem. My computational field is comprised an immisible two-phase flow.

Typically, Eulerian-based ( such as VOF) or hybrid methods such as Front Tracking is applied for the simulation of such flows.

There is an interface between two phases (phase (1) and phase(2)) called \Gamma \ in my computational domain as presented at the attached image.

The phase (1) is a liquid phase consisted of S1-species (a liquid species) and S2-species(solid particles dissolved in species of S1 into the liquid phase (1)) .The phase (2) is the gas phase consisted of S1-species (gas species state) and S3-species in the gas state.

In the interface(\Gamma \) , a mass transfer rate (\dot{m}\) is assigned to determine species (1) (S1) mass transfer from phase(1) to phase (2).

A species (concentration) transport equation is required for assessment of S1-species concentration (mass fraction of S1-species) field in both phases.
Typically, This equation is presented as follows for pure phase domains:

\frac{\partial Y_{s1(g)}}{\partial t}+\nabla .\left(Y_{s1\left(g\right)}{\mathbf u}\right)=\nabla .(D_{s1\left(g\right)}\nabla Y_{s1\left(g\right)})\ for gas phase (1)
\frac{\partial Y_{s1(l)}}{\partial t}+\nabla .\left(Y_{s1\left(l\right)}{\mathbf u}\right)=\nabla .(D_{s1\left(l\right)}\nabla Y_{s1\left(l\right)})\ for liquid phase (2)


That, (g) and (l) refer to phase(1) and phase(2), respectively. Also, Y and D denote concentration value and mass diffusivity , respectively.

However, for the interface(\Gamma \) study, it is essential to have a comprehensive species (concentration) equation even upon the interface(\Gamma \) .

How can CFD user assign and obtain a good interface(\Gamma \) condition for species transfer equation?
Is there a known and "general" direct numerical method for the evaluating of species transfer equation in the interface similar with that at the momentum and temperature equations?

What's the general interface(\Gamma \) condition for S1-concentration (S1-species) transport equation?

The "general" term denotes the importance of S1-species concentration whether being dense or diluted .

The aim is to govern a comprehensive S1-species transfer equation with a logical and suitable interface condition concerning each value of concentration (S1-species dense or S1 species-diluted) .

Thanks in advance for any help.

P.Maroul
Attached Images
File Type: jpg interface species condition with mass transfer.jpg (78.3 KB, 9 views)

Last edited by Pmaroul; October 13, 2018 at 07:57.
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Old   October 12, 2018, 13:34
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Dear P. Maroul,

i do not exactly know what you are trying to do. Some of your sentences doesn't make sense or are confusing.

Try to rewrite your questions.

Regards
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Old   October 12, 2018, 17:02
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Quote:
Originally Posted by Eifoehn4 View Post
Dear P. Maroul,

i do not exactly know what you are trying to do. Some of your sentences doesn't make sense or are confusing.

Try to rewrite your questions.

Regards
Thanks for your attention.
I'll glad and appreciated if you describe some parts / sentences that you think they have been stated by me vaguely.
if you would like, plz send your notes in my private email (pmaroul1990@gmail.com).

Best Regards.
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