A consistent thermal lattice Boltzmann method for heat transfer in arbitrary combinations of solid, fluid, and porous media

摘要

In this study, a thermal lattice Boltzmann model (TLBM) is developed for heat transfer in arbitrary combinations of solid, fluid, and porous media. The velocity and temperature field are modeled through a double distribution function (DDF) approach. By introducing a new temperature equilibrium DF, the present TLBM not only recovers the correct macroscopic energy equation via Chapman-Enskog expansion but also possesses a consistent definition of heat capacity ratio which is lacked in previous thermal models. To validate the proposed method, four benchmark cases are tested, including the heat conduction in dual heterogeneous media, Couette flow in partially porous channel, natural convection in a porous cavity, and natural convection in a partially solid and porous cavity. Good agreement is attained, which shows the applicability of the present model for simulating thermal flows in combined solid, fluid, and porous media conditions. (C) 2020 Elsevier B.V. All rights reserved.