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initial condition of kappai at IATE diameter model

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Old   September 16, 2023, 17:56
Post initial condition of kappai at IATE diameter model
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cal
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Hi,

When IATE diameter model is used for gas phase on phaseProperties, it calls kappai dictionary for boundary and initial condition.
So if I use this model I've to modifie kappai.gas dictionary. There is a description on IATE.H file for kappai and it says:
Code:
 "Interfacial curvature (alpha*interfacial area)"
Unit is m^-1
Also, there is an equation on .C file:
Code:
// Construct the interfacial curvature equation
    fvScalarMatrix kappaiEqn
    (
        fvm::ddt(kappai_) + fvm::div(phase_.phi(), kappai_)
      - fvm::Sp(fvc::div(phase_.phi()), kappai_)
     ==
      - fvm::SuSp(R, kappai_)
    //+ Rph() // Omit the nucleation/condensation term
      + fvOptions(kappai_)
    );
Then, I checked tutorials that uses IATE model to see how they initialize and which boundaries used and I saw some strange numbers on Initial Condition like 13333 and 2000 (Interfacial curvature (alpha*interfacial area) ???).
How they obtain these numbers? I couldn't reached to the original paper that referred on source code (Ishii, M., Kim, S. and Kelly, J., (2005)). Maybe in the paper there is an explanation. But I found some others that might be related to Ishii et al. (2005).
Code:
Ishii, M., Kim, S., & Uhle, J. (2002). Interfacial area transport equation: model development and benchmark experiments. International Journal of Heat and Mass Transfer, 45(15), 3111-3123. https://doi.org/10.1016/S0017-9310(02)00041-8.
--------------------------------------------------------
Kocamustafaogullari, G., & Ishii, M. (1995). Foundation of the interfacial area transport equation and its closure relations. International Journal of Heat and Mass Transfer, 38(3), 481-493. https://doi.org/10.1016/0017-9310(94)00183-V.
However, I still don't have a clue. Any theorical and mathematical explanation would be appretiated.

Best regards,
Saidc.
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Old   February 1, 2024, 06:59
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Raphael Santos
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Hi Saidc,

have you find any reference about what is "kappai" and best way to set the values?

Regards,
Raphael
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Old   February 1, 2024, 09:27
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Quote:
Originally Posted by Raphael_Santos View Post
Hi Saidc,

have you find any reference about what is "kappai" and best way to set the values?

Regards,
Raphael
Hi Raphael,

Unfortunately I couldn't find any explanation.

Said,
Regards
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