Transient Coupled Radiation-Conduction in Semitransparent Spherical Particle

Abstract

Amethod toanalyzetransientcoupled radiation ‐conductionina semitransparentsphericalparticlesurrounded by isothermal black walls was developed. The radiative transfer coefe cients were deduced using the ray tracing method in combination with Hottel and Saroe m’ s zonal method. The radiative heat source term was calculated by the radiative transfer coefe cients, and the transient energy equation was solved by an implicit e nite difference method. The effects of the related parameters on the transient radiative heat source and temperature distribution wereanalyzed.Theresultsshowthatthepeakofdimensionlessradialradiativeheatsourcecanlocateintheinterior shell of the particleordropletwith small optical thickness when heated by surrounding radiation. Treating volume radiation as surface radiation results in large transient temperature distribution errors for the particle with small optical thickness.