A Localized Mass-Conserving Lattice Boltzmann Approach for Non-Newtonian Fluid Flows. (30th April 2015)

• Record Type: Journal Article
• Authors: Wang, Liang; Mi, Jianchun; Meng, Xuhui; Guo, Zhaoli
• Is Part Of: Communications in computational physics. Volume 17:Number 4(2015:Apr.)
• Page Start: 908
• Page End: 924
• Publication Date: 2015-04-30
• Subjects: Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.2014.m303
• Languages: English
• ISSNs: 1815-2406

Abstract

<abstract abstract-type="normal"> <title>Abstract</title> <p>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.</p> </abstract>