Simulation of conjugate radiation–forced convection heat transfer in a porous medium using the lattice Boltzmann method

Abstract

In this paper, a lattice Boltzmann method is employed to simulate the conjugate radiation-forced convection heat transfer in a porous medium. The absorbing, emitting, and scattering phenomena are fully included in the model. The effects of different parameters of a silicon carbide porous medium including porosity, pore size, conduction-radiation ratio, extinction coefficient and kinematic viscosity ratio on the temperature and velocity distributions are investigated. This shows that there is a good agreement between the results obtained by the current LBM and the existing analytical solutions. The convergence times of modified and regular LBMs for this problem are 15s and 94s, respectively, indicating a considerable reduction in the solution time through using the modified LBM. Further, the thermal plume formed behind the porous cylinder elongates as the porosity and pore size increase. This result reveals that the thermal penetration of the porous cylinder increases with increasing the porosity and pore size. Finally, the mean temperature at the channel output increases by about 22% as the extinction coefficient of fluid increases in the range of 0 to 0.03.

Effects of radiation and magnetic field on mixed convection stagnation-point flow over a cylinder in a porous medium under local thermal non-equilibrium

“…Convective-radiative heat transfer in porous media is of growing importance in a wide range of technological applications [1,2]. The increasing use of porous media in radiative energy systems such as solar collectors, solar reactors and porous burners has raised a pressing need for further understanding and modelling of this combined mode of heat transfer [3][4][5]. Further, the use of magnetic effects in advanced energy technologies (e.g.…”

Analysis of unsteady mixed convection of Cu–water nanofluid in an oscillatory, lid-driven enclosure using lattice Boltzmann method

“…There are three distribution functions as well as density on every wall, which are undetermined, and therefore, another equation is required in addition to Eqs. (18) to (20). The system of finding boundary conditions is closed using the non-equilibrium part of particle distribution normal to the boundary [36].…”

“…Given the importance of such configuration in industry, more investigations are required for understanding and optimization of the problem. Further, novel numerical methods, like LBM, are gradually spreading throughout the general field of computational fluid dynamics [20,21]. It follows that they should be used for classical problems, such as mixed convection in enclosures.…”

Novel Aspects of Cilia-Driven Flow of Viscoelastic Fluid through a Non-Darcy Medium under the Influence of an Induced Magnetic Field and Heat Transfer

“…Many transportation processes via porous media are important in mechanical industries, physiological processes, and engineering [24,25]. In the literature, different models such as Darcy, Darcy-Forchecimer, and Brinkman-extended Darcy are utilized by researchers for the study of porous media [26].…”