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Old   November 12, 2015, 06:06
Default Looking for "Derivation [...] of the conditionally averaged two-phase flow equations"
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Xiangyin Meng
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Dear Foamers,

Does anyone have refrence paper <Derivation, modelling and solution of the conditionally averaged two-phase flow equations> form Mr HG Weller?

Great thanks!!!

Regards
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Old   November 22, 2015, 08:21
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Quick question: Have you tried the contact form at CFD Direct? http://cfd.direct/contact/
It's where Henry Weller works at: http://cfd.direct/about/
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Old   October 18, 2016, 02:49
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I have seen this report being requested a number of times. While it appears unavailable, the process of conditional averaging is well described in works of other authors. Particularly lucid treatments can be found in [1, ch. 2] and [2, ch.1.6 + appendix A]. There is also a report by Weller [3] in which he treats this subject. The idea of conditional averaging is based on the work of Dopazo [4] for turbulent flows.

[1] Holger Marschall, “Towards the Numerical Simulation of Multi-Scale Two-Phase Flows”, PhD thesis, München, 2011
https://mediatum.ub.tum.de/doc/1080878/1080878.pdf

[2] David Paul Hill, ”The Computer Simulation of Dispersed Two-phase Flows”, PhD thesis, London, 1998
http://powerlab.fsb.hr/ped/kturbo/OpenFOAM/docs/DavidHillPhD1998.pdf

[3] H.G. Weller, “The Development of a New Flame Area Combustion Model Using Conditional Averaging”, Imperial College, London, 1993
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.45.6303&rep=rep1&type=pdf

[4] C. Dopazo, On conditional averages for intermittent turbulent flows, Journal of Fluid
Mechanics 81 (1977) 433-438.
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Old   October 18, 2016, 23:15
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You may also look at this short note on the derivation of continuity equation for VOF with mass transfer

or look at this Master thesis, Chap3

These derivations are based on the method of volume averaging (integration on volume, including the boundary effects as body forces).

Cheers
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