A study on interstitial heat transfer in consolidated and unconsolidated porous media

A study on interstitial heat transfer in consolidated and unconsolidated porous media
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DOI:
10.1007/s00231-009-0513-x
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发表时间:
2009-07
影响因子:
2.2
通讯作者:
A. Nakayama;K. Ando;Chen Yang;Y. Sano;F. Kuwahara;Jianjun Liu
A. Nakayama;K. Ando;Chen Yang;Y. Sano;F. Kuwahara;Jianjun Liu
中科院分区:
工程技术4区
文献类型:
--
作者:
A. Nakayama;K. Ando;Chen Yang;Y. Sano;F. Kuwahara;Jianjun Liu

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给出了固结和松散两种多孔介质的间隙换热系数的努塞尔数表达式。对于疏松多孔介质,考虑了边界层的影响,导出了一般的Nusselt数关联式,该关联式显示了其与雷诺数的平方根关系,与已有的实验数据和关联式吻合较好。对于低密度固结多孔介质,给出了基于体积平均理论的严密数学论证,从而解释了低密度固结多孔介质的Nusselt数表达式的雷诺数指数远大于非固结多孔介质的原因。将所得表达式与现有的实验数据和经验关联式进行了比较,发现它们符合得很好。
The Nusselt number expressions are presented for the interstitial heat transfer coefficients for both consolidated and unconsolidated porous media. A boundary layer consideration is made for unconsolidated porous media to derive a general Nusselt number correlation, which shows its square root dependence of the Reynolds number, and matches fairly well with existing experimental data and correlations. As for low density consolidated porous media, rigorous mathematical arguments based on the volume averaging theory are provided, so as to explain the reason why the Reynolds number exponent of the Nusselt number expression for the case of low density consolidated porous media is much greater than that of unconsolidated porous media. The resulting expressions are compared against available experimental data and empirical correlations, and found to be in good accord with them.