Numerical study of lid-driven square cavity with heat generation using LBM

Taher, M.A., Saha, S.C., Lee, Y.W., & Kim, H.D. (2013) Numerical study of lid-driven square cavity with heat generation using LBM. American Journal of Fluid Dynamics, 3(2), pp. 40-47.

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Abstract

In this study, the mixed convection heat transfer and fluid flow behaviors in a lid-driven square cavity filled with high Prandtl number fluid (Pr = 5400, ν = 1.2×10-4 m2/s) at low Reynolds number is studied using thermal Lattice Boltzmann method (TLBM) where ν is the viscosity of the fluid. The LBM has built up on the D2Q9 model and the single relaxation time method called the Lattice-BGK (Bhatnagar-Gross-Krook) model. The effects of the variations of non dimensional mixed convection parameter called Richardson number(Ri) with and without heat generating source on the thermal and flow behavior of the fluid inside the cavity are investigated. The results are presented as velocity and temperature profiles as well as stream function and temperature contours for Ri ranging from 0.1 to 5.0 with other controlling parameters that present in this study. It is found that LBM has good potential to simulate mixed convection heat transfer and fluid flow problem. Finally the simulation results have been compared with the previous numerical and experimental results and it is found to be in good agreement.

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ID Code: 68143
Item Type: Journal Article
Refereed: Yes
Additional URLs:
Keywords: Lattice-Boltzmann, Richardson number, Lid-driven, Heat generation
DOI: 10.5923/j.ajfd.20130302.04
ISSN: 2168-4707
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Current > Schools > School of Chemistry, Physics & Mechanical Engineering
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 Scientific & Academic Publishing
Deposited On: 09 Mar 2014 23:23
Last Modified: 15 Mar 2014 11:34

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