Simulation of mixed convection heat transfer using lattice boltzmann method

Abstract

In this paper, mixed (forced–natural) convective heat transfer around a heated square cylinder located inside a lid driven cavity has been studied numerically using the lattice Boltzmann method in the range of 100=Re =1000 with the corresponding Richardson number 0.01=Ri=10. The double-population lattice Boltzmann formulation is used as the governing equation. Two dimensional nine-velocity models areused for the computation of the velocity field while a four-velocity model is used for the computation of thetemperature field. We found that the combination of nine- and fourvelocity models can be applied tothe calculation without losing its accuracy. Theresults are presented in the form of streamline and isotherm plots as well as the variation of local Nusselt number at the top surface of theheated square. The computational results demonstrate that the flow pattern, formation of vortex and also the Nusselt number are influence by theReynolds number and Richardson number.