Abstract
The natural convection of incompressible flow confined within an enclosed right-angled triangular and isosceles cavity was investigated numerically using the multirelaxation time lattice Boltzmann method (MRT-LBM). According to the left and inclined walls thermal boundary conditions, two cases were considered in this study. In the first case, the inclined side of the enclosure was adiabatic, and the horizontal wall was heated, while the left one was kept at a cold temperature. However, the states of the left and inclined walls were interchanged in the second case. As the flow is only transported under the convection force, this study was carried out for the Rayleigh number ranging from Ra=103 to 106. The effects of the Rayleigh number on velocity and temperature profiles, streamlines, isotherms, and average Nusselt number were investigated. The position of cold and adiabatic walls had a great effect on the results. The results obtained are in good agreement with those of the literature and show the robustness of the MRT-LBM approach. In both cases, the heat-transfer rate increases with the increase in the Rayleigh number.
Highlights
Natural convection in enclosed cavities in two-dimensional [1,2] or in three-dimensional [3,4]continues to captivate researchers’ interest, owing to its large number of engineering applications
The single relaxation time lattice Boltzmann method (SRT) has been used as an alternative computational fluid dynamics (CFD) approach to study the natural convection of air and water in a triangular cavity [18,19]
This study aims to simulate natural convection of water flow confined within an enclosed right-angled triangular and isosceles cavity by the multirelaxation time lattice Boltzmann method (MRT-LBM)
Summary
Natural convection in enclosed cavities in two-dimensional [1,2] or in three-dimensional [3,4]continues to captivate researchers’ interest, owing to its large number of engineering applications. Yesiloz et al [16] and Oztop et al [17] have studied experimentally the natural convection of water and air, respectively, in a right-angled triangular cavity Both papers compared their experimental results with numerical solutions. Yesiloz et al used the FLUENT software, while Oztop et al used the governing equations based on a stream function–vorticity and solved them with the finite-difference method. The governing equations are formulated based on a stream function–vorticity and solved with the finite-difference method They have demonstrated that flow and temperature distributions are affected by the variation of Prandtl number. Shahid et al [22] have used the multirelaxation time lattice Boltzmann method (MRT-LBM) to simulate mixed convective heat transfer in a heated lid-driven right triangular cavity for different values of Richardson, Grashof, and Prandtl numbers
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