[sharonyue]

Dear OpenFOAM colleagues,


I am glad to share our work on the "CFD-PBE simulations for the liquid-liquid dispersions by OpenFOAM" with you. In this paper, we couple the EQMOM algorithm with the two fluid model (TFM, twoPhaseEulerFoam), to simulate liquid-liquid dispersions in stirred tanks. Multi-fractal breakage and coalescence and other kernels are implemented. Our simulation results agree well with the experimental data. I hope this work might shed some lights on similar investigations.

https://onlinelibrary.wiley.com/doi/...1002/aic.15557


Bonus: we are working on new solvers based on OpenFOAM, in which the disperse phase was solved purely by the generalized population balance equation (GPBE). It implies the N-S equations for the disperse phase can be completely discarded. We verify the code with experiments for bubbly plumes in bubble columns, and poly-disperse bubbly flows in vertical pipes (wall peak and double peak phenomenon). Good results were obtained. The solver will be open-sourced ASAP after the manuscript is accepted.

Multiphase flows can be simulated using the E-E method, the E-L method and the Eulerian-QBMM. In this work, the one-way coupled solver oneWayGPBEFoam and the two-way coupled solver twoWayGPBEFoam have been developed, in which the Eulerian-QBMM was implemented. The latter is designed entirely within the OpenFOAM software framework and is a highly-extensible and fully object-oriented C++ based approach. The code is released under the same license as the OpenFOAM base, at a publicly available software repository that includes documentation and example tutorials. It is intended to be a powerful research platform for those interested in Eulerian-QBMM.

oneWayGPBEFoam has been used in this work to verify the particle size segregation phenomenon, and good agreement with the analytical solutions was obtained, implying that the QBMM algorithm which was implemented is correct. A turbulent bubbly air/water upward flow through a pipe with a sudden enlargement was employed to verify the results predicted by the two-way coupled Eulerian-QBMM and the E-E method. Both of them predict good results compared with the experimental data. To complete the two-way verifications, two classic bubble column experiments with different superficial velocities were employed, as used by D{\'\i}az et al. \cite{diaz2008numerical} and Pfleger et al. \cite{pfleger1999hydrodynamic}. It was shown that the results predicted by twoWayGPBEFoam (e.g., the bubble plume period, the global phase fraction and the averaged vertical liquid velocity) agree well with the experimental data.


The development of twoWayGPBEFoam is still ongoing. Other momentum interface exchange models, four-way coupling procedures and compressibility algorithms will be implemented in the future. Optimizations and bug fixes are often applied to the repository. It is also worth mentioning that besides twoWayGPBEFoam readers are also refereed to the open-source code (\verb+OpenQBMM+) developed by Passalacqua et al. \cite{passalacqua2018open}, which includes different QBMM algorithms and well-organized test cases, although the two-way coupling procedure used in their work is different to ours. It is our hope that these open-source QBMM-based CFD codes, as strong supplements of the existing E-E method and E-L method, will be used and be extended by different research and industrial groups from different disciplines.

Best,
Dongyue

[sharonyue]

I also suggest our other work published in 2018, in which the quadrature-based moment methods for the population balance equation is fully reviewed. After these years implementing work in OpenFOAM. I do learn alot on the numerics.. But never too old to learn.

See it here: Quadrature-based moment methods for the population balance equation: An algorithm review
https://www.sciencedirect.com/scienc...04954118304087


Best,
Dongyue