A lattice Boltzmann model for natural convection with a large temperature difference. (1st September 2011)

• Record Type: Journal Article
• Authors: Zhang, Xin-Rong; Cao, Yuhui
• Is Part Of: Progress in computational fluid dynamics. Volume 11:Number 5(2011)
• Page Start: 269
• Page End: 278
• Publication Date: 2011-09-01
• Subjects: natural convection -- variable property effects -- heat transfer -- LBM -- lattice Boltzmann method -- temperature differences -- modelling -- transport coefficients; Fluid dynamics -- Data processing -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 620.10640285
• Languages: English
• ISSNs: 1468-4349

Abstract

A Variable Property Thermal Lattice BGK (VPTLBGK) model is proposed for the natural convection with a large temperature difference. The basic idea is replacing constant relaxation times by spatially varying ones so that the variable transport coefficients in LBE are realised. Numerical results show that the VPTLBGK model is effective in studying the variable property effects. It is found that a Rayleigh-number-dependent power-law relation is satisfied between the Nusselt number and the Rayleigh number for the natural convection with variable transport coefficients.