The Re-Plating Algorithm for Radiation Total Exchange Area Calculation

Abstract

Great efforts have been made to date toward modeling nongray radiative heat transfer accurately. In this article, a new version of the plating algorithm, designated the re-plating algorithm, for total exchange areas (TEAs) calculation from direct exchange areas (DEAs) for nongray radiative problems is presented. The re-plating algorithm calculates TEAs for a given band number b from those of band number b − 1 by performing successive re-plating procedures. The effectiveness of the new algorithm is demonstrated for thermal modeling of an aluminum brazing furnace and a glass treatment furnace. CPU requirements for TEA calculation were reduced significantly.

Notes

^a SPA parameters defined in [20].

^a Normal transmittivity of the 3-mm glass sheet.

^a SPA parameters defined in [20].