# Equation in Burns.C of Turbulent dispersion model of Burns et al.

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 October 22, 2020, 22:05 Equation in Burns.C of Turbulent dispersion model of Burns et al. #1 New Member   Chaoran Guan Join Date: Aug 2019 Posts: 5 Rep Power: 5 Hello, Foamers. I was using the reactingTwoPhaseEulerFoam of OF6.0 Version. A turbulent dispersion model called Burns is used which located in applications/solvers/multiphase/reactingEulerFoam/interfacialModels/turbulentDispersionModels/Burns. And the reference is Burns, A. D., Frank, T., Hamill, I., & Shi, J. M. (2004, May).The Favre averaged drag model for turbulent dispersion in Eulerian multi-phase flows.In 5th international conference on multiphase flow, ICMF (Vol. 4, pp. 1-17). https://www.researchgate.net/publica...ti-Phase_Flows The equation used in Burns.C from the reference is And the correspponding source code in Burns.C from OF version 6.0 is Code:  0.75 *drag.CdRe() *pair_.continuous().nu() *continuousTurbulence().nut() /( sigma_ *sqr(pair_.dispersed().d()) ) *pair_.continuous().rho() *pair_.dispersed() *( 1.0/max(pair_.dispersed(), residualAlpha_) + 1.0/max(pair_.continuous(), residualAlpha_) ); I tried to translate it into the mathematical form as The two equations seem not to be the same. The interphase velocity term is missed in the source code and there is an additional term in it. Is there any relationship between these two terms?

 November 24, 2020, 04:43 #2 Senior Member   Join Date: Dec 2019 Location: Cologne, Germany Posts: 321 Rep Power: 7 drag.CdRe() in the code means C_d x Re (Reynolds number), it cancels out the additional terms (kin. viscosity / bubble diameter) and leaves your missing term (velocity difference). so in the end it is implemented correctly although not in a way that makes sense at first sight. lourencosm, KasperWayne, Chaoran and 1 others like this.

 Tags multiphase flows, multiphase modelling