Effect of Anisotropic Scattering on Heat Transfer by Simultaneous Conduction and Radiation in a Gray Dispersed Medium

Abstract

Effects of an anisotropic scattering on heat transfer by simultaneous conduction and radiation in an absorbing, emitting and anisotropically-scattering medium are investigated theoretically. Consideration is made of a one-dimensional system bounded by two parallel gray, diffuse and isothermal walls. First, to select a useful phase function for evaluation of heat transfer characteristics, three kinds of one-parameter phase functions ( a linear phase function, the Kagiwada-Kalaba phase function and the Henyey-Greenstein phase function ) are examined. Consequently, we find that the Henyey-Greenstein phase function is the most useful of them. Then, the effects of anisotropic scattering on temperature profiles, heat transfer characteristics and heat flux distributions are investigated systematically by means of this phase function. Furthermore the effects of the anisotropic scattering on heat transfer by thermal radiation alone are examined, too.