Abstract
The aim of this paper is to analyze the laminar free convective flow generated by two identical hot blocks in
two-dimensional enclosure cooled by the sides in order to optimize the heat transfer. The top wall and the flat
surfaces on bottom wall are adiabatic except for the active sources located symmetrically. Each source of a
rectangular form is heated at a uniform temperature while the Prandtl number is fixed at 0.71. Thermal Lattice
Boltzmann model of D2Q4-D2Q9 is applied to solve the thermal flow problem. Numerical simulations have
been conducted to reveal the effects of various parameters; Rayleigh number 103 ≤ Ra ≤ 106, spacing between
blocks 0.1 ≤ D ≤ 0.6, block height 0.05 ≤ H ≤ 0.4 and aspect ratio of the enclosure 1 ≤ A ≤ 4 on fluid flow and
heat transfer. The computational results by Lattice Boltzmann method have been found to be in good
agreement with previous works. The results are presented in the form of isotherms and streamlines plots as
well as the variation of the average Nusselt number along horizontal and vertical hot walls. It is found that
increasing Rayleigh number and distance between active blocks enhance the heat transfer. The simulations
show that the block height and aspect ratio are the most important parameters affecting dynamic and thermal
fields and consequently the heat transfer efficiency in the enclosure.