Analysis of transport of collimated radiation in a participating media using the lattice Boltzmann method

Analysis of Conduction-Radiation Heat Transfer in a 2D Enclosure Using the Lattice Boltzmann Method

“…(5) for determination of the divergence of radiative heat flux r Áq q R needed for solving the energy equation (Eq. (1)) by the methods like the DTM, the DOM and the FVM have been given in the works of Mishra and co-workers [10,12,13,20,22,[30][31][32][33][34][35][36][37][38][39], and the same are not repeated here. In the following pages, application of the LBM in both determination of r Áq q R and solution of the energy equation are described.…”

“…Recently, the usage of the LBM in solving fluid flow and heat transfer problems has taken a surge [26][27][28][29][30][31][32][33][34][35][36][37][38][39]. Unlike conventional methods such as the FDM and the FVM, which solve the discretized macroscopic Navier-Stokes equations, the LBM uses simple microscopic kinetic models to stimulate complex transport phenomena.…”

“…In comparison to the CFD solvers, the advantage of the LBM include simple calculation procedure, simple and efficient implementation for parallel computation, easy and robust handling of complex geometries and high computational performance ANALYSIS OF CONDUCTION-RADIATION HEAT TRANSFER 671 with regard to stability and accuracy [26,27]. It has been applied to a wide range of fluid flow and heat transfer problems [26][27][28][29][30][31][32][33][34][35][36][37][38][39]. Very recently, the usage of the LBM to formulate and solve different types of heat transfer problems involving volumetric radiation in different geometries has been extended by Mishra and co-authors [12,13,20,22,[30][31][32][33][34][35][36][37][38][39].…”

“…It has been applied to a wide range of fluid flow and heat transfer problems [26][27][28][29][30][31][32][33][34][35][36][37][38][39]. Very recently, the usage of the LBM to formulate and solve different types of heat transfer problems involving volumetric radiation in different geometries has been extended by Mishra and co-authors [12,13,20,22,[30][31][32][33][34][35][36][37][38][39]. However, in all such problems, although the radiative information was computed using the conventional methods like the DTM [5,6], the CDM [7,8], the DOM [11][12][13], and the REM [10] and the FVM [20,22], in terms of formulation and computational time, the solution of the energy equation by the LBM was encouraging.…”

Analysis of Conduction-Radiation Heat Transfer With Variable Thermal Conductivity and Variable Refractive Index: Application of the Lattice Boltzmann Method

“…The cases of constant thermal conductivity and unity refractive index in combined conduction-radiation heat transfer problems have been studied in detail by many investigators [1][2][3][4][5]. Because of the mathematical complexities, a limited literature is available that individually deal with the effects of variable thermal conductivity [6] and constant and/or variable refractive index [7].…”