Lattice Boltzmann formulation for conjugate heat transfer in heterogeneous media

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Hamid Karani, Christian Huber

Abstract

In this paper, we propose an approach for studying conjugate heat transfer using the lattice Boltzmann method (LBM). The approach is based on reformulating the lattice Boltzmann equation for solving the conservative form of the energy equation. This leads to the appearance of a source term, which introduces the jump conditions at the interface between two phases or components with different thermal properties. The proposed source term formulation conserves conductive and advective heat flux simultaneously, which makes it suitable for modeling conjugate heat transfer in general multiphase or multicomponent systems. The simple implementation of the source term approach avoids any correction of distribution functions neighboring the interface and provides an algorithm that is independent from the topology of the interface. Moreover, our approach is independent of the choice of lattice discretization and can be easily applied to different advection-diffusion LBM solvers. The model is tested against several benchmark problems including steady-state convection-diffusion within two fluid layers with parallel and normal interfaces with respect to the flow direction, unsteady conduction in a three-layer stratified domain, and steady con...Continue Reading

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Citations

Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Guigao LeJunfeng Zhang
Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yang HuXiaodong Niu
Aug 31, 2016·Physical Review. E·G PareschiI V Karlin

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