Lattice Boltzmann Method Applied to the Analysis of Transient Conduction-Radiation Problems in a Cylindrical Medium
Lattice Boltzmann Method Applied to the Analysis of Transient Conduction-Radiation Problems in a Cylindrical Medium
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DOI：
10.1080/10407780903107162
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发表时间：
2009-07
期刊：
影响因子：
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通讯作者：
S. Mishra;M. Kim;R. Das;M. Ajith;R. Uppaluri
中科院分区：
文献类型：
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作者：
S. Mishra;M. Kim;R. Das;M. Ajith;R. Uppaluri
应用格子Boltzmann方法(LBM)求解了一维同心圆柱体参与介质中的瞬时传导-辐射换热问题的能量方程。辐射信息的获取采用有限体积法(FVM)。为了研究LBM-FVM组合对圆柱介质中传导-辐射问题的有效性，还利用有限差分方法求解了该问题的能量方程，其中FVM用于计算辐射信息。研究了传导辐射参数、散射反照率、消光系数、半径比等参数对介质内温度分布的影响。本工作的结果与文献中提供的结果进行了比较。文中还将LBM-FVM的计算结果与FDMFVM的计算结果进行了比较。在所有情况下，都取得了极好的一致意见。
The lattice Boltzmann method (LBM) is applied to solve the energy equation of a transient conduction-radiation heat transfer problem in a 1-D concentric cylindrical participating medium. The finite-volume method (FVM) is used to obtain the radiative information. To study the effectiveness of the LBM-FVM combination to conduction-radiation problems in cylindrical media, the energy equation of the problem is also solved using the finite-difference method (FDM) in which the FVM is used to compute radiative information. The effects of different parameters, such as the conduction-radiation parameter, the scattering albedo, the extinction coefficient, and the radius ratio on temperature distributions in the medium are studied. Results of the present work are benchmarked against those available in the literature. LBM-FVM results are also compared with those obtained by the FDM-FVM combination. In all cases, excellent agreement has been obtained.