A two-dimensional scheme for axisymmetric radiative heat transfer using the finite-volume method

摘要

A two-dimensional scheme using the finite-volume method is proposed to solve the radiative transfer equation for axisymmetric radiative transfer. The directions of intensity are determined relative to Cartesian-based vectors. The final discretized equations are based on a two-dimensional mesh in the spatial domain, similar to meshes used for convective and conductive heat transfer in computational fluid dynamics analysis. The control-angle overlap problem caused by misalignment of solid angles with control-volume faces in the angular direction is eliminated in the current scheme. Error caused by the control-volume face curvature is also eliminated. A comparison study using demonstration cases with participating media in axisymmetrical cylindrical enclosures shows satisfactory results.