Volume 17, Issue 4
A Localized Mass-Conserving Lattice Boltzmann Approach for Non-Newtonian Fluid Flows

Liang Wang, Jianchun Mi, Xuhui Meng & Zhaoli Guo

Commun. Comput. Phys., 17 (2015), pp. 908-924.

Published online: 2018-04

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  • Abstract

A mass-conserving lattice Boltzmann model based on the Bhatnagar-Gross-Krook (BGK) model is proposed for non-Newtonian fluid flows. The equilibrium distribution function includes the local shear rate related with the viscosity and a variable parameter changing with the shear rate. With the additional parameter, the relaxation time in the collision can be fixed invariable to the viscosity. Through the Chapman-Enskog analysis, the macroscopic equations can be recovered from the present mass-conserving model. Two flow problems are simulated to validate the present model with a local computing scheme for the shear rate, and good agreement with analytical solutions and/or other published results are obtained. The results also indicate that the present modified model is more applicable to practical non-Newtonian fluid flows owing to its better accuracy and more robustness than previous methods.

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@Article{CiCP-17-908, author = {}, title = {A Localized Mass-Conserving Lattice Boltzmann Approach for Non-Newtonian Fluid Flows}, journal = {Communications in Computational Physics}, year = {2018}, volume = {17}, number = {4}, pages = {908--924}, abstract = {

A mass-conserving lattice Boltzmann model based on the Bhatnagar-Gross-Krook (BGK) model is proposed for non-Newtonian fluid flows. The equilibrium distribution function includes the local shear rate related with the viscosity and a variable parameter changing with the shear rate. With the additional parameter, the relaxation time in the collision can be fixed invariable to the viscosity. Through the Chapman-Enskog analysis, the macroscopic equations can be recovered from the present mass-conserving model. Two flow problems are simulated to validate the present model with a local computing scheme for the shear rate, and good agreement with analytical solutions and/or other published results are obtained. The results also indicate that the present modified model is more applicable to practical non-Newtonian fluid flows owing to its better accuracy and more robustness than previous methods.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.2014.m303}, url = {http://global-sci.org/intro/article_detail/cicp/10983.html} }
TY - JOUR T1 - A Localized Mass-Conserving Lattice Boltzmann Approach for Non-Newtonian Fluid Flows JO - Communications in Computational Physics VL - 4 SP - 908 EP - 924 PY - 2018 DA - 2018/04 SN - 17 DO - http://doi.org/10.4208/cicp.2014.m303 UR - https://global-sci.org/intro/article_detail/cicp/10983.html KW - AB -

A mass-conserving lattice Boltzmann model based on the Bhatnagar-Gross-Krook (BGK) model is proposed for non-Newtonian fluid flows. The equilibrium distribution function includes the local shear rate related with the viscosity and a variable parameter changing with the shear rate. With the additional parameter, the relaxation time in the collision can be fixed invariable to the viscosity. Through the Chapman-Enskog analysis, the macroscopic equations can be recovered from the present mass-conserving model. Two flow problems are simulated to validate the present model with a local computing scheme for the shear rate, and good agreement with analytical solutions and/or other published results are obtained. The results also indicate that the present modified model is more applicable to practical non-Newtonian fluid flows owing to its better accuracy and more robustness than previous methods.

Liang Wang, Jianchun Mi, Xuhui Meng & Zhaoli Guo. (2020). A Localized Mass-Conserving Lattice Boltzmann Approach for Non-Newtonian Fluid Flows. Communications in Computational Physics. 17 (4). 908-924. doi:10.4208/cicp.2014.m303
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