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 transfer coefficient (RTC) under specular reflection in an absorbing, emitting and isotropic scattering parallel slab is derived. Considering both multi-reflection and multi-scattering in the derivation, the RTC can accommodate various boundary conditions under specular reflection. By accumulating the RTC for specular reflection boundary and that for diffuse reflection boundary 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 ω, Planck number Np and refractive index of STM n m on the transient coupled heat transfer in a one-dimensional isotropic scattering medium are reviewed for: (a) two semi-transparent boundaries; and (b) one semi-transparent boundary and one opaque boundary. The presented calculation and formula for the redistribution of the scattering energy can also be applied to other radiative calculations, such as total radiative exchange area or total radiative transfer coefficient in multi-dimensional isotropic scattering media.