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Research Papers: Forced Convection

Forced Convective Heat Transfer in a Channel Filled With a Functionally Graded Metal Foam Matrix

[+] Author and Article Information
Xiaohui Bai

Department of Mechanical Engineering,
Shizuoka University,
3-5-1 Johoku,
Hamamatsu 432-8561, Japan

Fujio Kuwahara, Moghtada Mobedi

Department of Mechanical Engineering,
Shizuoka University,
3-5-1 Johoku,
Hamamatsu 432-8561, Japan

Akira Nakayama

Department of Mechanical Engineering,
Shizuoka University,
3-5-1 Johoku,
Hamamatsu 432-8561, Japan;
School of Civil Engineering and Architecture,
Wuhan Polytechnic University,
Wuhan 430023, Hubei, China
e-mail: nakayama.akira@shizuoka.ac.jp

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received March 20, 2018; final manuscript received June 11, 2018; published online August 3, 2018. Assoc. Editor: Sara Rainieri.

J. Heat Transfer 140(11), 111702 (Aug 03, 2018) (7 pages) Paper No: HT-18-1163; doi: 10.1115/1.4040613 History: Received March 20, 2018; Revised June 11, 2018

Fully developed forced convective heat transfer within a channel filled with a functionally graded metal foam matrix was investigated analytically for the case of constant wall heat flux. A series of functionally graded metal foam matrices of the same mass (i.e., the same solidity) were examined in views of their heat transfer performances. The porosity either increases or decreases toward the heated wall following a parabolic function. Among the metal foam matrices of the same mass, the maximum heat transfer coefficient exists for the case in which the porosity decreases toward the heated wall (i.e., more metal near the wall). The heat transfer coefficients in such channels filled with a functionally graded metal foam matrix are found 20–50% higher than that expected from the increase in the effective thermal conductivity. Hence, functionally graded metal foam matrices are quite effective to achieve substantially high heat transfer coefficient with an acceptable increase in pressure drop.

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Figures

Grahic Jump Location
Fig. 1

Physical model: (a) the case with high porosity near the wall and low porosity in the core and (b) the case with low porosity near the wall and high porosity in the core

Grahic Jump Location
Fig. 2

Dimensionless velocity profiles for various porosity distributions

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Fig. 3

Dimensionless temperature profiles for various porosity distributions (ks/kf = 104)

Grahic Jump Location
Fig. 4

Effect of porosity distribution on Nusselt number NuH (ks/kf = 104)

Grahic Jump Location
Fig. 5

Effect of porosity distribution on heat transfer coefficient ratio h/hf (ks/kf = 104)

Grahic Jump Location
Fig. 6

Effect of porosity distribution on pressure drop ratio Δp/Δpf

Grahic Jump Location
Fig. 7

Effect of porosity distribution on area goodness factor ratio huB/Δp/huB/Δpf (ks/kf = 104)

Tables

Errata

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