<  Back to the Polytechnique Montréal portal

Differentiated heated lid driven cavity interacting with tube: a lattice Boltzmann study

Rachid Bennacer, Marcelo Reggio, Nicolas Pellerin and Xiaoyan Ma

Article (2017)

Published Version
Terms of Use: Creative Commons Attribution Non-commercial No Derivatives .
Download (1MB)
Cite this document: Bennacer, R., Reggio, M., Pellerin, N. & Ma, X. (2017). Differentiated heated lid driven cavity interacting with tube: a lattice Boltzmann study. Thermal Science, 21(1A), p. 89-104. doi:10.2298/tsci160429238b
Show abstract Hide abstract


The multiple-relaxation-time (MRT) lattice-Boltzmann method is implemented to investigate combined natural and forced convection occurring in a two-dimensional square cavity. The top wall slides to the right at constant speed, while the other three remain stationary. The solution is performed for a left vertical wall at a constant temperature, which is higher than of the right wall. This yields a “cooperating” case, in which dynamic and buoyancy forces are added together. The enclosure is filled with air and contains a heat conducting circular cylinder, which is placed at various positions. The double distribution model used in lattice Boltzmann methods has been adopted to simulate the hydrodynamic and thermal fields, with the D2Q9 and D2Q5 lattices selected to perform the corresponding computations. Simulations have been conducted over a wide range of Rayleigh (Ra) and Reynolds (Re) numbers, and the features of dynamic and thermal fields are presented for the spectra of this mixed convection phenomenon. The flow and heat transfer characteristics of the cylinder position are described and analyzed in terms of the average Nusselt number (Nu). The computed results show the influence of the cylinder on the corresponding heat transfer in the enclosure. It has been found that the power (i.e. shear stress) needed to lid the upper surface will depend on the governing parameters.

Uncontrolled Keywords

LBM; mixed convection; flow cylinder interaction

Open Access document in PolyPublie
Subjects: 2100 Génie mécanique > 2100 Génie mécanique
2200 Mécanique des fluides > 2203 Modélisation et simulation
Department: Département de génie mécanique
Research Center: Non applicable
Date Deposited: 03 Apr 2020 09:58
Last Modified: 08 Apr 2021 10:43
PolyPublie URL: https://publications.polymtl.ca/3583/
Document issued by the official publisher
Journal Title: Thermal Science (vol. 21, no. 1A)
Publisher: Vinča Institute of Nuclear Sciences, Belgrade, Serbia
Official URL: https://doi.org/10.2298/tsci160429238b


Total downloads

Downloads per month in the last year

Origin of downloads


Repository Staff Only