Analysis of scattering effect on radiation-conduction interaction using nodal approximation technique

Steady, combined radiation and conduction heat transfer in an absorbing, emitting and anisotropically-scattering planar material is investigated theoretically. The medium boundaries are assumed with specified temperatures. Both specular and diffusion reflectivities are included. The influence of radiation heat transfer is obtained by solving the exact integral equations of radiative transfer into a discrete system of algebraic equations and allows to obtain exact numerical solutions for any scattering phase function. The integral energy equation is solved by the Simpson's method with an iterative procedure. The effects of scattering anisotropy as well as radiative parameters such as albedo and wall reflectivities on the total heat transfer and temperature distributions are presented.