Two-Dimensional Transfer in Radiatively Participating Media with Conduction by the P-N Approximation

摘要

The conbined steady state conduction and radiation heat transfer problem for a gray medium within a rectangular enclosure is considered using the differential approximation. The P-1 and P-3 spherical harmonics approximations for the intensity distribution are incorporated in the equation of transfer, and modified Marshak-type boundary conditions are used in the formulation. The enclosure walls are assumed to be isothermal black surfaces. Two and five coupled second order nonlinear partial differential equations are developed for the P-1 and P-3 approximations, respectively, using the energy conservation and moment-of-intensity expressions. The P-1 equations have been numerically solved using finite element techniques, while the P-3 relations have been solved using a finite difference successive-over-relaxation (SOR) algorithm. Two-dimensional temperature profiles and hot wall heat transfer results are presented for square enclosures and different optical width rectangular enclosures for a range of Stark numbers. (ERA citation 07:054747)