Hybrid lattice Boltzmann-finite volume method for solving coupled radiation-convection heat transfer in complex geometries

Abstract

An integrated algorithm was established for the first time to investigate coupled radiation-convection heat transfer in complex geometries. The radiative transfer equation was solved using the finite volume method with pseudo-time stepping. An immersed-boundary method based on an implicit diffuse interface was employed to impose irregular boundaries. The proposed algorithm was successfully implemented within the framework of the thermal lattice Boltzmann method. In the participatory medium, the precision and performance of the algorithm were inspected in terms of natural convection with systematic parameters including the optical thickness, Planck number, wall emissivity, scattering albedo, and forced convection at various Reynolds numbers. The superior performance of the present approach results from the encrypted non-uniform mesh improving the computational accuracy, saving resources, and not requiring extraordinary treatment for arbitrary shape boundaries. Thermal plumes and static bifurcations are remarkable phenomena that emerge owing to environmental influences. The results indicate that radiation dominates the heat transfer around the annulus in natural convection at low Pl and τ, whereas its imperceptible effects on forced convection are alleviated as the increases of Re. The thermohydrodynamic characteristics of radiation and geometry are of immediate significance in such scientific and engineering problems.