Transient Combined Conduction and Radiation with Anisotropic Scattering

Abstract

The analysis of transient 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 diffuse reflectivities are included. The Crank-Nicolson method is used to solve the transient energy equation, and the nodal approximation provides the solution for coupled radiative transfer. This solution method may be described as a finite-difference/nodal approximation method and would replace the governing energy and radiative transfer equations by a set of algebraic equations. Using the method, the present study examines the effect of scattering anisotropy on combined conduction and radiation heat transfer. Results are presented for temperature and heat-flux distributions, and results for isotropic scattering are compared to existing data. The agreement is excellent.