A hybrid strategy of lattice Boltzmann method and finite volume method for combined conduction and radiation in irregular geometry

Abstract

Lattice Boltzmann method (LBM) has been a trendy tool for fluid flow and heat transfer problems. Recently it has been applied to combined heat transfer problems with radiation, while most of the work consider a square enclosure. To extend the LBM to combined heat transfer problems with radiation in irregular geometries, it is coupled with the finite volume method (FVM) to solve the energy equation and radiative transfer equation (RTE), respectively. Blocked-off method is used in the FVM to approximate the curved boundary for radiation modeling. By using the half-way bounce back boundary method in the LBM, it can be perfectly coupled with the blocked-off FVM. Treatments of complex boundaries of these two methods are validated, and then the hybrid method is used to solve combined conduction and radiation heat transfer in enclosures with inclined and curved walls. Effects of the conduction-radiation number, optical thickness, scattering albedo and wall emissivity on the temperature distribution and wall heat flux are analyzed. Results show that this hybrid method can solve combined conduction and radiation heat transfer problems in irregular geometries.