Heat transfer in flowing granular materials: The effects of radiation boundary condition

In this paper we consider the free surface flow of granular materials down an inclined plane. The surface of the inclined is heated and the effects of radation heat transfer at the free surface are studied. It is assumed that the material behaves like a continuum, similar to a compressible non-Newtonian fluid where the effects of density gradients are incorporated in the stress tensor. For a fully developed flow the equations simplify to a system of three non-linear ordinary differential equations. The equations are made dimensionless and a parametric study is performed where the effects of various dimensionless numbers representing the effects of heat conduction, viscous dissipation, etc., are presented.