Analysis of non-Fourier conduction and radiation in a cylindrical medium using lattice Boltzmann method and finite volume method

Abstract

Combined mode heat transfer in a conducting–radiating participating medium bounded by a concentric cylindrical enclosure is studied. The finite propagation speed of heat transfer by conduction is accounted by modifying the Fourier’s law of heat conduction. The energy equation is formulated and solved using the lattice Boltzmann method. The finite volume method is used to compute the volumetric radiative information needed in the energy equation. Radial distributions of temporal temperature and the steady-state conductive, radiative and total energy flow rates are analyzed for a wide range of parameters, such as the extinction coefficient, the scattering albedo, the conduction–radiation parameter, the emissivity and the radius ratio. With volumetric radiative information computed using the finite volume method, in all cases, the steady-state temperature distributions from the lattice Boltzmann method are compared with those obtained by solving the energy equation using the finite difference method. An excellent comparison is obtained.