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环形蓄热片相变材料固化时热传导问题的Green函数瞬时解

Green’s Function Solution for Transient Heat Conduction in an Annular Fin During Solidification of a PCM
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摘要 当环形蓄热片为相变材料所固化时,应用Green函数法分析其瞬时的温度分布.在一个柱形壳体中存储该相变材料(PCM),蓄热片上固体相变材料的厚度随时间而变化,并由Megerlin法求得.找到模型用Bessel方程构成的分析解,讨论了3种不同类型的边界条件,给出了解析解和数值解的比较.结果表明,所有情况下得到的蓄热片温度分布精度是令人满意的. Green’s function method was applied for the transient temperature of an annular fin when a phase change material solidified on it.The solidification of the phase change materials(PCM) took place in a cylindrical shell storage.The thickness of solid PCM on the fin varied with time and was obtained by the Megerlin method.The models were found by the Bessel equation to form an analytical solution.Three different kinds of boundary conditions were investigated.A comparison of analytical and numerical solutions was given.The results demonstrate that significant accuracy is attained for the temperature distribution for the fin in all cases.
出处 《应用数学和力学》 CSCD 北大核心 2012年第10期1180-1188,共9页 Applied Mathematics and Mechanics
关键词 环形蓄热片 解析解 GREEN函数 相变材料(PCM) 固化 热能的存储 annular fin; analytical solution; Green’s function; PCM; solidification; thermal energy storage
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参考文献18

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