A method to analyze transient coupled radiation-conduction in a semitransparent spherical particle surrounded by isothermal black walls was developed. The radiative transfer coefficients were deduced using the ray tracing method in combination with Hottel and Sarofim's zonal method. The radiative heat source term was calculated by the radiative transfer coefficients, and the transient energy equation was solved by an implicit finite difference method. The effects of the related parameters on the transient radiative heat source and temperature distribution were analyzed. The results show that the peak of dimensionless radial radiative heat source can locate in the interior shell of the particle or droplet with 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.
ASJC Scopus subject areas
- Condensed Matter Physics