Demand for a VOF OPENFOAM code base on Welch, Wilson paper (VOFWW)

Asghari_M · May 30, 2018, 05:47

Hi all Foamers.

I'm looking for an OPENFOAM source code for the investigation of phase change (condensation or evaporation of the water films or droplets) in the presence of the air .

I studied some papers for this purpose. I found Welch and Wilson paper as the best research for this object:

A Volume of Fluid Based Method for Fluid Flows with Phase Change

The reason for this my opinion is ,the fact that, they, unlike a lot of research, had captured interface velocity & pressure discontinuities in their investigations as follows:

The normal velocity interface jump conditions for gas & liquid phases:

$u_{g,n}-u_{l,n}=\dot{m\ \ \ }(\frac{1}{{\rho{}}_g}-\frac{1}{{\rho{}}_l})\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (eq.1)$

The pressure interface jump conditions:

$\left[[-\rho{}\textbf{U}\textbf{U}-p\textbf{n}+\mu{}(\nabla{}\textbf{U}+\nabla{}\textbf{U}^T)\right]]=\ \sigma{}\kappa{}\textbf{n}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (eq.2)$

The heat transfer arising from mass transfer at the interface:

$\dot{q}={\left.k\frac{\partial{}T}{\partial{}n}\right]}_g-{\left.k\frac{\partial{}T}{\partial{}n}\right]}_l \ \ \ \ (eq.3)$

The mass transfer relation at the interface (in some references):

$\dot{m}=\ -\frac{K}{L}\frac{\partial{}T}{\partial{}n}\ \ \ \ \$

Or based on some other references:

$or\ \ \ \ \ \ \dot{m}=\ \frac{D_v{\rho{}}_g}{1-Y_v}\frac{\partial{}Y_v}{\partial{}n}\ \ \ \ \$

$\ \ \ \ \ \ or\ even \ in \ some\ resources\ \ \ \ \ \ \dot{m}=\ \frac{D_v{\rho{}}_g}{1-Y_v}\frac{\partial{}Y_v}{\partial{}n}-\frac{K}{L}\frac{\partial{}T}{\partial{}n}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (eq.4)$

Assuming saturation state at the interface, Mass fraction of vapor at interface is given by

$Y_{v,sat}=\frac{P_{v,sat}}{P}*\frac{M_v}{M_{gp,sat}}$

in which,

$M_{gp,sat}\ \ \ is\ Molecular\ weight\ gasous\ phase\ and\ given\ by$

$M_{gp,sat}=\frac{P_{v,sat}*M_v+{(P-P}_{v,sat})*M_g}{P}$

$\ and \ P_{v,sat}\ \ \ is\ evaluated\ as\ following\ \ relation \ :$

$P_{v,sat}=\frac{P_c{*T}_c}{T}*$

$\left[a*{\left(1-\frac{T}{T_c}\right)}^{1.5}+b*{\left(1-\frac{T}{T_c}\right)}^3+c*{\left(1-\frac{T}{T_c}\right)}^3+d*{\left(1-\frac{T}{T_c}\right)}^6\right]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$

$\ \ \ \left(eq.5\right)\ in\ which,P_c\ \ \ and\ T_c\ are\ critical\ presure\ \&\ temperature,\ respectively.$

Unfortunately, a lot of research have not investigated these considerations.

Also, I need an extensive VOF model to cover species transport equation since the water phase change occurs in an air-based media in my case.

Unfortunately, I found a little papers in this case. Does anyone access to such a phase change VOF-based comprehensive study with the consideration of species transport phenomenon?

Also, there is a fairly good method suitable for sharp interfaces so called Continuous Species Transfer (CST) model considered species transport phenomenon. However, unfortunately, I didn't find this method in any paper coupled with energy equation .

Has someone observed the coupling of CST method with energy equation in the CFD documents?

Moreover, as I indicated at above mentioned expressions, there is not a unique relation for mass transfer and I dazzled. Is there anyone to help me in finding a fairly suitable and true expression for the interface mass transfer?

I would be highly appreciated if anyone help me.

Also many thanks in advance for providing me with OPENFOAM code (or at least OPENFOAM code name) considering above descriptions in the interface either via this panel or directly via my email address (mehdiasgh@gmail.com).

Thanks a lot for any help.

M.Asghari

May 30, 2018, 05:47	Demand for a VOF OPENFOAM code base on Welch, Wilson paper (VOFWW)	#1
Asghari_M Senior Member Mehdi Asghari Join Date: Feb 2010 Posts: 127 Rep Power: 16	Hi all Foamers. I'm looking for an OPENFOAM source code for the investigation of phase change (condensation or evaporation of the water films or droplets) in the presence of the air . I studied some papers for this purpose. I found Welch and Wilson paper as the best research for this object: A Volume of Fluid Based Method for Fluid Flows with Phase Change The reason for this my opinion is ,the fact that, they, unlike a lot of research, had captured interface velocity & pressure discontinuities in their investigations as follows: The normal velocity interface jump conditions for gas & liquid phases: $u_{g,n}-u_{l,n}=\dot{m\ \ \ }(\frac{1}{{\rho{}}_g}-\frac{1}{{\rho{}}_l})\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (eq.1)$ The pressure interface jump conditions: $\left[[-\rho{}\textbf{U}\textbf{U}-p\textbf{n}+\mu{}(\nabla{}\textbf{U}+\nabla{}\textbf{U}^T)\right]]=\ \sigma{}\kappa{}\textbf{n}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (eq.2)$ The heat transfer arising from mass transfer at the interface: $\dot{q}={\left.k\frac{\partial{}T}{\partial{}n}\right]}_g-{\left.k\frac{\partial{}T}{\partial{}n}\right]}_l \ \ \ \ (eq.3)$ The mass transfer relation at the interface (in some references): $\dot{m}=\ -\frac{K}{L}\frac{\partial{}T}{\partial{}n}\ \ \ \ \$ Or based on some other references: $or\ \ \ \ \ \ \dot{m}=\ \frac{D_v{\rho{}}_g}{1-Y_v}\frac{\partial{}Y_v}{\partial{}n}\ \ \ \ \$ $\ \ \ \ \ \ or\ even \ in \ some\ resources\ \ \ \ \ \ \dot{m}=\ \frac{D_v{\rho{}}_g}{1-Y_v}\frac{\partial{}Y_v}{\partial{}n}-\frac{K}{L}\frac{\partial{}T}{\partial{}n}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (eq.4)$ Assuming saturation state at the interface, Mass fraction of vapor at interface is given by $Y_{v,sat}=\frac{P_{v,sat}}{P}\frac{M_v}{M_{gp,sat}}$ in which, $M_{gp,sat}\ \ \ is\ Molecular\ weight\ gasous\ phase\ and\ given\ by$ $M_{gp,sat}=\frac{P_{v,sat}M_v+{(P-P}_{v,sat})M_g}{P}$ $\ and \ P_{v,sat}\ \ \ is\ evaluated\ as\ following\ \ relation \ :$ $P_{v,sat}=\frac{P_c{T}_c}{T}$ $\left[a{\left(1-\frac{T}{T_c}\right)}^{1.5}+b{\left(1-\frac{T}{T_c}\right)}^3+c{\left(1-\frac{T}{T_c}\right)}^3+d{\left(1-\frac{T}{T_c}\right)}^6\right]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \left(eq.5\right)\ in\ which,P_c\ \ \ and\ T_c\ are\ critical\ presure\ \&\ temperature,\ respectively.$ Unfortunately, a lot of research have not investigated these considerations. Also, I need an extensive VOF* model to cover species transport equation since the water phase change occurs in an air-based media in my case. Unfortunately, I found a little papers in this case. Does anyone access to such a phase change VOF-based comprehensive study with the consideration of species transport phenomenon? Also, there is a fairly good method suitable for sharp interfaces so called Continuous Species Transfer (CST) model considered species transport phenomenon. However, unfortunately, I didn't find this method in any paper coupled with energy equation . Has someone observed the coupling of CST method with energy equation in the CFD documents? Moreover, as I indicated at above mentioned expressions, there is not a unique relation for mass transfer and I dazzled. Is there anyone to help me in finding a fairly suitable and true expression for the interface mass transfer? I would be highly appreciated if anyone help me. Also many thanks in advance for providing me with OPENFOAM code (or at least OPENFOAM code name) considering above descriptions in the interface either via this panel or directly via my email address (mehdiasgh@gmail.com). Thanks a lot for any help. M.Asghari Last edited by Asghari_M; June 1, 2018 at 11:03.

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