Parametric study of simultaneous transient conduction and radiation in a two-dimensional participating medium

The lattice Boltzmann method (LBM) has been used to solve the energy equation of a transient conduction–radiation heat transfer problem in a two dimensional Cartesian enclosure filled with an emitting, absorbing and scattering media. The control volume finite element method (CVFEM) is used to obtain the radiative information. Based on this new nonlinear hybrid algorithm, the effects of various influencing parameters on the transient thermal response such as the scattering albedo, the conduction–radiation parameter, and the wall emissivity are studied on the distributions of temperature, radiative heat fluxes. Numerical results are presented as compared with other published works and they are found to be in satisfactory agreement. The advantages of the proposed numerical approach include, among others, simple implementation on a computer, accurate CPU time and capability of stable simulation. Therfore, the method can capture fundamental behaviours in thermal flows of engineering interest, in addition it will have computaional advantages when the geometry is more complex.