Transient coupled radiative and conductive heat transfer in an absorbing, emitting and scattering medium

On the basis of our previous papers, the redistribution of radiative energy in the case of isotropic scattering is investigated and the radiative tran sfer coefficient (RTC) under specular reflection in an absorbing, emitting and isotropic scattering parallel slab is derived. Considering both multi-r eflection and multi-scattering in the derivation, the RTC can accommodate v arious boundary conditions under specular reflection. By accumulating the R TC for specular reflection boundary and that for diffuse reflection boundar y linearly, the RTC are calculated. The validity and high precision of the formula for the RTC are confirmed by comparing with references. The effects of single-scattering albedo omega, Planck number Np and refractive index o f STM n(m) on the transient coupled heat transfer in a one-dimensional isot ropic scattering medium are reviewed for: (a) two semi-transparent boundari es; and (b) one semi-transparent boundary and one opaque boundary. The pres ented calculation and formula for the redistribution of the scattering ener gy can also be applied to other radiative calculations, such as total radia tive exchange area or total radiative transfer coefficient in multi-dimensi onal isotropic scattering media. (C) 1999 Elsevier Science Ltd. All rights reserved.