On Galerkin Technique for Transient Radiative Heat Transfer in Finite Thin Media

Abstract

The transient radiative heat transfer problem in an absorbing and isotropically scattering plane-parallel medium is proposed. The medium is considered to be nonemitting and the boundaries are nonreflecting and nonrefracting, exposed to an external incident flux. The transient problem is transformed into a stationary-like one. Then, Galerkin technique is extended to obtain the analytical solution for the transient radiative heat transfer problem. The transient reflectivity and transmissivity of the medium are calculated for various values of optical thickness and scattering albedo at different times. The results are in fair agreement with those available in the literature using Pomraning-Eddington approximation.

Notes

^a P-E, Pomraning-Eddington approximation.