Analysis of Solidification of a Semitransparent Planar Layer Using the Lattice Boltzmann Method and the Discrete Transfer Method

The effects of radiative heat transfer during the melting process of a high temperature phase change material confined in a spherical shell

“…The influence of anisotropic scattering on the combined conduction and radiation heat transfer on a spherical medium has been considered by Thynell [25]. Reported studies on the influence of thermal radiation in non-opaque media during phase change processes have been largely limited to the treatment of solidification in planar systems [26][27][28], because of its simplicity and the fact that the contribution of natural convection can be justifiably ignored in this process [29,30]. In the present study, a concise description of the energy exchange interactions and induced fluid flow during the melting process of a PCM with enhanced radiative properties and encapsulated in a spherical shell is reported.…”

Combined conduction and radiation heat transfer with variable thermal conductivity and variable refractive index

“…With radiative information known from any of the methods like the DTM, the DOM and the FVM, the procedure to solve energy equation of a conduction-radiation problem using the LBM has been given in [15][16][17][18].…”

“…The usage of the lattice Boltzmann method (LBM) to solve energy equations of heat transfer problems is gaining momentum [4,[10][11][12][13][14][15][16][17][18] and its recent application to problems involving conduction, convection and/or radiation heat transfer has been encouraging [4,[15][16][17][18]. Quite recently Gupta et al [4] used the concept of a variable relaxation time in the LBM and solved the energy equation of a temperature dependent transient conduction and radiation heat transfer in a planar medium.…”

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].…”