Radiative-convective heat transfer to solid spherical particles in a vertical channel flow

A numerical study has been conducted pertaining to the problem of radiative convective heat transfer to solid spherical particles in a vertical channel flow. The gas phase is treated within the context of an Eulerian (continuum) formulation. For the particulate phase, a Lagrangian approach has been employed that includes two-way coupling of momentum and heat transfer between phases. The gas flow is in laminar regime and the particle Reynolds number based on the particle radius and skip velocity between phases is of order one. The particulate phase is dilute enough that direct particle, particle interactions are negligible but particle volume fraction effects are retained in the transport equations for the gas phase. The particle and channel wall surfaces are taken as diffusely emitting and reflecting. For the particulate phase, radiative heat transfer is directly coupled with convective heat transfer through the energy conservation equation and for the walls, through the thermal boundary condition.