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

Akira Nakayama; Kenji Ando; Chen Yang; Yoshihiko Sano; Fujio Kuwahara; Jianjun Liu

doi:10.1007/s00231-009-0513-x

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

Akira Nakayama, Kenji Ando, Chen Yang, Yoshihiko Sano, Fujio Kuwahara, Jianjun Liu

Faculty of Engineering

Research output: Contribution to journal › Article › peer-review

53 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1365-1372
Number of pages	8
Journal	Heat and Mass Transfer/Waerme- und Stoffuebertragung
Volume	45
Issue number	11
DOIs	https://doi.org/10.1007/s00231-009-0513-x
Publication status	Published - Jul 24 2009

ASJC Scopus subject areas

Condensed Matter Physics
Fluid Flow and Transfer Processes

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AU - Nakayama, Akira

AU - Ando, Kenji

AU - Yang, Chen

AU - Sano, Yoshihiko

AU - Kuwahara, Fujio

AU - Liu, Jianjun

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N2 - 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.

AB - 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.

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

Abstract

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