TRANSIENT CONDUCTION AND RADIATION HEAT TRANSFER WITH HEAT GENERATION IN A PARTICIPATING MEDIUM USING THE COLLAPSED DIMENSION METHOD

Abstract

Combined conduction and radiation heat transfer with and without heat generation is investigated. Analysis is carried out for both steady and unsteady situations. One-dimensional gray Cartesian enclosure with an absorbing, emitting, and isotropically scattering medium is considered. Enclosure boundaries are assumed at specified temperatures. The heat generation rate is considered uniform and constant throughout the medium. The Crank?Nicholson scheme is used to solve the transient energy equation. The radiative part of the energy equation is solved using the collapsed dimension method. Transient and steady state temperature and heat flux distributions are found for various radiative parameters. Results are found for situations with and without heat generation. Heat generation is found to have significant bearing on temperature and heat flux. Results are compared with the data reported in the literature. Excellent agreement has been found.