Research Papers: Porous Media

Modeling of Effective Stagnant Thermal Conductivity of Porous Media

[+] Author and Article Information
Yasuyuki Takatsu

Department of Intelligent
Mechanical Engineering,
Fukuoka Institute of Technology,
3-30-1 Wajiro-higashi, Higashi-ku,
Fukuoka 811-0295, Japan
e-mail: takatsu@fit.ac.jp

Takashi Masuoka

Professor Emeritus
Kyushu University,
744 Motooka, Nishi-ku,
Fukuoka 819-0395, Japan
e-mail: masuoka.t.129@m.kyushu-u.ac.jp

Takahiro Nomura

Department of Mechanical Engineering,
Kure National College of Technology,
2-2-11 Agaminami,
Kure, Hiroshima 737-8506, Japan
e-mail: nomura@kure-nct.ac.jp

Yuji Yamada

Department of Mechanical Engineering,
Kure National College of Technology,
2-2-11 Agaminami,
Kure, Hiroshima 737-8506, Japan
e-mail: yamada@kure-nct.ac.jp

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 19, 2014; final manuscript received July 17, 2015; published online August 11, 2015. Assoc. Editor: Peter Vadasz.

J. Heat Transfer 138(1), 012601 (Aug 11, 2015) (7 pages) Paper No: HT-14-1322; doi: 10.1115/1.4031146 History: Received May 19, 2014

Based on one-dimensional analysis of heat conduction, a general formula for the effective stagnant thermal conductivity of spatially periodic porous media is derived without assuming local thermal equilibrium. Furthermore, we discuss the contribution of the contact area between particles to the effective stagnant thermal conductivity in detail, and the modification of the formula is proposed to predict the actual effective stagnant thermal conductivity for the porous media. The present results are in good agreement with experimental results of Nozad et al. (1985, “Heat Conduction in Multi-Phase Systems I: Theory and Experiments for Two-Phase Systems,” Chem. Eng. Sci., 40(5), pp. 843–855) for a packed-sphere bed.

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Fig. 1

Parameter replacement

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Fig. 3

Composite fluid- and solid-phase system

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Fig. 4

Direction of normal vector

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Fig. 5

A bank of parallel plates

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Fig. 6

Effective stagnant thermal conductivity for poor contact of the particles (ε = 0.38)

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Fig. 7

Effect of adjustable coefficient C on effective stagnant thermal conductivity for ε = 0.38

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Fig. 8

Effective stagnant thermal conductivity of three closest packed-sphere beds for C = 0.98




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