Coupled Numerical Approach for Combined Mode of Heat Transfer

In this paper we propose a two-dimensional transient coupled nonlinear conduction radiative heat transfer problem in an optically emitting, absorbing and scattering medium is proposed in this paper. The hybrid mathematical proposed model is based on the lattice Boltzmann method (LBM) in combination with the Control Volume Finite Element Method (CVFEM). On a coupled LBM-CVFEM need, the lattice Boltzmann method was used to solve the energy equation. The Radiative Transfer Equation (RTE) is coupled with the nonlinear heat conduction equation where the CVFEM has been adopted as the numerical technique for the radiative information required as source in the energy equation. To study the compatibility and suitability of the LBM for the solution of energy equation and the CVFEM for the radiative information, results were analyzed for the effects of various influencing parameters. Comparison with results of other methods validates the new model.