High Definition 2-dimensional Numerical Model of Particle Settling on Newtonian and Shear-Thinning Fluids
DOI:
https://doi.org/10.31265/atnrs.773Abstract
Well-defined particle sedimentation can provide relevant information in characterizing non-colloidal suspension. Nonetheless, the interaction between phases can become extremely convoluted as agglomerates are formed and broken, dynamically creating regions of high and low shear-rate. Numerical simulations are an alternative to obtain detailed descriptions of said interactions. In this work, the lattice-Boltzmann method is used together with the discrete element method to solve for two-dimensional sedimentation problems for both Newtonian and shear-thinning fluids.
References
Hajir Kourki and Mohammad Hossein Navid Famili. "Particle sedimentation: Effect of polymer concentration on particle-particle interaction". Powder Technology, 221:137--143, 2012.
https://doi.org/10.1016/j.powtec.2011.12.050
Gustavo Coelho Abade and Francisco Ricardo Cunha. "Computer simulation of particle aggregates during sedimentation". Computer Methods in Applied Mechanics and Engineering, 196(45-48):4597--4612, 2007.
https://doi.org/10.1016/j.cma.2007.05.022
Zhaosheng Yu, Anthony Wachs, and Yannick Peysson. "Numerical simulation of particle sedimentation in shear-thinning fluids with a fictitious domain method". Journal of Non-Newtonian Fluid Mechanics, 136(2-3):126--139, 2006.
https://doi.org/10.1016/j.jnnfm.2006.03.015
Hamid Reza Norouzi, Reza Zarghami, Rahmat Sotudeh-Gharebagh, and Navid Mostoufi. Coupled CFD-DEM modeling: formulation, implementation and application to multiphase flows. John Wiley & Sons, 2016.
https://doi.org/10.1002/9781119005315
Bruno Blais, Manon Lassaigne, Christoph Goniva, Louis Fradette, and François Bertrand. "Development of an unresolved CFD-DEM model for the flow of viscous suspensions and its application to solid-liquid mixing". Journal of Computational Physics, 318:201--221, 2016.
https://doi.org/10.1016/j.jcp.2016.05.008
Hongsheng Chen, Wenwei Liu, Zhiwei Chen, and Zhong Zheng. "A numerical study on the sedimentation of adhesive particles in viscous fluids using LBM-LES-DEM". Powder Technology, 391:467--478, 2021.
https://doi.org/10.1016/j.powtec.2021.06.031
Dominique d'Humieres. "Generalized lattice-boltzmann equations". Rarefied gas dynamics, 1992.
Dominique D'Humières, Irina Ginzburg, Manfred Krafczyk, Pierre Lallemand, and Li Shi Luo. "Multiple-relaxation-time lattice Boltzmann models in three dimensions". In Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 360, pages 437--451, mar 2002.
https://doi.org/10.1098/rsta.2001.0955
Krüger Timm, Halim Kusumaatmaja, Alexandr Kuzmin, O Shardt, G Silva, and E Viggen. The lattice boltzmann method: principles and practice. Cham, Switzerland: Springer International Publishing AG, 2016.
https://doi.org/10.1007/978-3-319-44649-3
D. R. Noble and J. R. Torczynski. "A lattice-boltzmann method for partially saturated computational cells". International Journal of Modern Physics C, 9(8):1189--1201, 1998.
https://doi.org/10.1142/S0129183198001084
Tim Najuch and Jin Sun. "Analysis of two partially-saturated-cell methods for lattice Boltzmann simulation of granular suspension rheology". Computers and Fluids, 189:1--12, 2019.
https://doi.org/10.1016/j.compfluid.2019.05.004
C. Rettinger and U. Rüde. "A comparative study of fluid-particle coupling methods for fully resolved lattice Boltzmann simulations". Computers and Fluids, 154:74--89, 2017.
https://doi.org/10.1016/j.compfluid.2017.05.033
Pei Zhang, S. A. Galindo-Torres, Hongwu Tang, Guangqiu Jin, A. Scheuermann, and Ling Li. "An efficient Discrete Element Lattice Boltzmann model for simulation of particle-fluid, particle-particle interactions". Computers and Fluids, 147:63--71, 2017.
https://doi.org/10.1016/j.compfluid.2017.01.019
Peter A Cundall and Otto DL Strack. "A discrete numerical model for granular assemblies". Geotechnique, 29(1):47--65, 1979.
https://doi.org/10.1680/geot.1979.29.1.47
D Quemada. "Rheological modelling of complex fluids. i. the concept of effective volume fraction revisited". The European Physical Journal-Applied Physics, 1(1):119--127, 1998.
https://doi.org/10.1051/epjap:1998125
Zhenhua Chai, Baochang Shi, Zhaoli Guo, and Fumei Rong. "Multiple-relaxation-time lattice Boltzmann model for generalized Newtonian fluid flows". Journal of Non-Newtonian Fluid Mechanics, 166(5-6):332--342, 2011.
https://doi.org/10.1016/j.jnnfm.2011.01.002
Simon Danisch and Julius Krumbiegel. "Makie.jl: Flexible high-performance data visualization for Julia". Journal of Open Source Software, 6(65):3349, 2021.
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