Lattice Boltzmann advection-diffusion model for conjugate heat transfer in heterogeneous media
Lattice Boltzmann advection-diffusion model for conjugate heat transfer in heterogeneous media
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DOI：
10.1016/j.ijheatmasstransfer.2018.12.034
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发表时间：
2019-04-01
影响因子：
5.2
通讯作者：
Thevenin, D.
中科院分区：
文献类型：
--
作者：
Hosseini, S. A.;Darabiha, N.;Thevenin, D.
许多实际的流动配置涉及流体中或具有不同热物理性质的固体和流体中的能量传递。经典的对流扩散格子玻尔兹曼（LB）求解器承认一些错误时，处理这样的配置。假设由该模型恢复的宏观方程仅在具有恒定热容的不可压缩流动的极限下有效，例如，在具有不同密度或比热容的流体和固体的界面处观察到不一致的通量。这种不一致性在空间上是二阶的，它将对最终结果产生不可忽略的影响。在这项工作中，提出了一个修改的平衡分布函数（EDF），以克服这些问题。所提出的计划恢复正确的偏微分方程（POE）描述的能量转移，所示的多尺度Chapman-Enskog分析。该模型的性能检查通过各种测试情况下，涉及共轭传热和可变比热容在稳态和非稳态配置。在所有情况下，所获得的结果与参考数据非常一致。(C)2018爱思唯尔有限公司版权所有。
Many practical flow configurations involve energy transfer in fluids, or in solids and fluids with different thermo-physical properties. The classical advection-diffusion lattice Boltzmann (LB) solver admits some errors when dealing with such configurations. Given that the macroscopic equation recovered by this model is only valid in the limit of incompressible flows with constant heat capacities, one would, for example, observe inconsistent fluxes at the interface of a fluid and solid with different densities or specific heat capacities. This inconsistency being second-order in space, it will have non-negligible effects on the final results. In this work, a modified equilibrium distribution function (EDF) is proposed to overcome these issues. The proposed scheme recovers the correct partial differential equation (POE) describing energy transfer, as shown by a multi-scale Chapman-Enskog analysis. The performance of the model is checked through a variety of test-cases, involving conjugate heat transfer and variable specific heat capacities in both steady and unsteady configurations. In all cases the obtained results are in excellent agreement with reference data. (C) 2018 Elsevier Ltd. All rights reserved.