Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Mechanical Engineering
Development Of High-Order PN Models For Radiative Heat Transfer In Special Geometries And Boundary Conditions, Wenjun Ge, Michael F. Modest, Somesh Roy
Development Of High-Order PN Models For Radiative Heat Transfer In Special Geometries And Boundary Conditions, Wenjun Ge, Michael F. Modest, Somesh Roy
Mechanical Engineering Faculty Research and Publications
The high-order spherical harmonics () method for 2-D Cartesian domains is extracted from the 3-D formulation. The number of equations and intensity coefficients reduces to (N+1)2/4 in the 2-D Cartesian formulation compared with N(N+1)/2 for the general 3-D formulation. The Marshak boundary conditions are extended to solve problems with nonblack and mixed diffuse-specular surfaces. Additional boundary conditions for specified radiative wall flux, for symmetry/specular reflection boundaries have also been developed. The mathematical details of the formulations and their implementation in the OpenFOAM finite volume based CFD software platform are presented. The accuracy and computational cost of the 2-D Cartesian are …