Radiative combined-mode heat transfer in a rectangular participating medium using spectral methods

摘要

Two combined modes of heat transfer; conduction-radiation and natural convection-radiation, are considered in a two-dimensional participating medium. The exact integral formulation of radiative transfer is incorporated in the energy balance equation using Chebyshev-Gauss-Lobatto quadrature. The spatial derivatives in the momentum and energy balance equations are also discretized by the spectral collocation method. Due to the characteristics of spectral methods, the collocation points for differential operators and the quadrature points for integrations are identical, and the errors in calculation are minimized. For time derivative discretization, the Adams-Bashforth/second-order backward Euler (AB/2BE) procedure is employed.