Accurate formulations based on finite-element methods are developed for calculating radiant heat transfer among diffuse-gray surfaces in an enclosure. The method of Gebhart is compared with solutions of the rigorous integral equations using these formulations. A Swartz-Wendroff approximation applied to the finite-element discretizations yields higher-order-accurate analogs of view factors that depend on geometry only and can be readily employed for more accurate solution of general radiant heat transfer problems. The accuracy and efficiency of these approaches are presented in the context of a model problem representative of a high-temperature crystal growth system.
|Original language||English (US)|
|Number of pages||24|
|Journal||Numerical Heat Transfer, Part B: Fundamentals|
|State||Published - Dec 1993|
Bibliographical noteFunding Information:
This work was supported in part by the National Aeronautics and Space Administration (under grant NAG-I-1268), the Minnesota Supercomputer Institute, and the University of Minnesota Army High Performance Computing Research Center (under the auspices of Army Research Office contract number DAAL03-89-C-0038). We also wish to thank one of the referees for several helpful suggestions.