A lattice Boltzmann model for thermal non-Newtonian fluid flows through porous media

被引:35
作者
Kefayati, Gh. R. [1 ,2 ]
Tang, H. [3 ]
Chan, A. [1 ,2 ]
Wang, X. [1 ,2 ]
机构
[1] Univ Tasmania, Sch Engn, Hobart, Tas, Australia
[2] Univ Tasmania, ICT, Hobart, Tas, Australia
[3] Hong Kong Polytech Univ, Dept Mech Engn, Kowloon, Hong Kong, Peoples R China
关键词
Non-Newtonian fluid; Porous media; Natural convection; LBM; CONVECTION HEAT-TRANSFER; NATURAL-CONVECTION; CONTINUUM-MECHANICS; BINGHAM FLUID; SQUARE; ENCLOSURES;
D O I
10.1016/j.compfluid.2018.09.002
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Following recent studies by Huilgol and Kefayati 112], that developed a thermal Lattice Boltzmann method for different non-Newtonian fluids, we propose, in this paper, a general lattice Boltzmann method for thermal incompressible non-Newtonian fluids through porous media. Since no restrictions are placed on the constitutive equations in this method, the theoretical development can be applied to all fluids, whether they be Newtonian, or power law fluids, or viscoelastic and Bingham fluids. To validate the accuracy of the method, natural convection in a porous cavity was studied and compared with previous studies. Next, we employ the model to simulate natural convection of power-law and Bingham fluids in a porous cavity. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码:226 / 244
页数:19
相关论文
共 36 条
[1]  
[Anonymous], 2006, CONVECTION POROUS ME
[2]   A MODEL FOR COLLISION PROCESSES IN GASES .1. SMALL AMPLITUDE PROCESSES IN CHARGED AND NEUTRAL ONE-COMPONENT SYSTEMS [J].
BHATNAGAR, PL ;
GROSS, EP ;
KROOK, M .
PHYSICAL REVIEW, 1954, 94 (03) :511-525
[3]  
Bingham EC, 1922, Fluidity and plasticity, V2
[4]  
Blazek J., 2001, COMPUTATIONAL FLUID, P347
[5]  
Cebeci T., 2005, COMPUTATIONAL FLUID, P311
[6]   Lattice Boltzmann method for fluid flows [J].
Chen, S ;
Doolen, GD .
ANNUAL REVIEW OF FLUID MECHANICS, 1998, 30 :329-364
[7]   LATTICE BOLTZMANN COMPUTATIONAL FLUID-DYNAMICS IN 3 DIMENSIONS [J].
CHEN, SY ;
WANG, Z ;
SHAN, XW ;
DOOLEN, GD .
JOURNAL OF STATISTICAL PHYSICS, 1992, 68 (3-4) :379-400
[8]   Role of discrete heating on the efficient thermal management within porous square and triangular enclosures via heatline approach [J].
Das, Debayan ;
Basak, Tanmay .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2017, 112 :489-508
[9]   Role of the importance of 'Forchheimer term' for visualization of natural convection in porous enclosures of various shapes [J].
Das, Debayan ;
Biswal, Pratibha ;
Roy, Monisha ;
Basak, Tanmay .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2016, 97 :1044-1068
[10]   Steady bubble rise in Herschel-Bulkley fluids and comparison of predictions via the Augmented Lagrangian Method with those via the Papanastasiou model [J].
Dimakopoulos, Y. ;
Pavlidis, M. ;
Tsamopoulos, J. .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2013, 200 :34-51