Lattice Boltzmann method for heat transfer of melting in porous media with high Darcy number

GAO Dongyan; CHEN Zhenqian

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Lattice Boltzmann method for heat transfer of melting in porous media with high Darcy number

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- Lattice Boltzmann method for heat transfer of melting in porous media with high Darcy number
- CIESC Journal Issue 2, Pages: 321-328(2011)
- 作者机构：
  
  1. 东南大学能源与环境学院
  2. 东南大学城市工程科学国际研究中心
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Online First：05 February 2011，
  
  Published：05 February 2011
- 稿件说明：
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GAO Dongyan, CHEN Zhenqian. Lattice Boltzmann method for heat transfer of melting in porous media with high Darcy number[J]. CIESC Journal, 2011, (2): 321-328.
DOI：

GAO Dongyan, CHEN Zhenqian. Lattice Boltzmann method for heat transfer of melting in porous media with high Darcy number[J]. CIESC Journal, 2011, (2): 321-328. DOI：

摘要

采用Brinkmann-Forchheimer-Darcy方程描述多孔介质内流动过程，并通过选择合适的平衡态分布函数及非线性源项形式构建出表征融化相变温度场的分布函数演化方程。应用格子Boltzmann模型模拟了方腔内无多孔介质以及填充多孔介质自然对流融化传热过程，模拟结果与其他文献结果吻合较好，模型的正确性得到了一定的验证。模拟结果还表明液相的自然对流对融化传热过程有着重要的影响，并且在高Rayleigh 数或高Darcy 数情况下作用更强。在高Darcy 数情况下由于非Darcy效应的存在，增大Rayleigh 数以强化融化传热的效应要大于提高同样倍数Darcy 数的效应。

Abstract

The Brinkmann-Forchheimer-Darcy equation is used to characterize the flow in porous media.An evolution equation of the temperature distribution function is developed through selecting the equilibrium distribution function and nonlinear source term properly.The melting with natural convection in a cavity with and without porous matrix is simulated using the present model.Numerical results agree well with previous solutions

so the accuracy of the present model is verified.The simulation results indicate that the effect of natural convection on the melting process becomes much stronger with the increases of the Rayleigh number and the Darcy number.Under the conditions with high Darcy number

the effect of increasing the Rayleigh number on heat transfer is greater than that of increasing the Darcy number

due to non-Darcy effect.

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