Research Papers: Heat and Mass Transfer

Geometric Mean of Fin Efficiency and Effectiveness: A Parameter to Determine Optimum Length of Open-Cell Metal Foam Used as Extended Heat Transfer Surface

[+] Author and Article Information
Tisha Dixit

Cryogenic Engineering Centre,
Indian Institute of Technology,
Kharagpur 721 302, India
e-mail: tisha8889@iitkgp.ac.in

Indranil Ghosh

Cryogenic Engineering Centre,
Indian Institute of Technology,
Kharagpur 721 302, India
e-mail: indranil@hijli.iitkgp.ernet.in

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 3, 2016; final manuscript received January 9, 2017; published online March 28, 2017. Assoc. Editor: Milind A. Jog.

J. Heat Transfer 139(7), 072002 (Mar 28, 2017) (11 pages) Paper No: HT-16-1246; doi: 10.1115/1.4036079 History: Received May 03, 2016; Revised January 09, 2017

High porosity open-cell metal foams have captured the interest of thermal industry due to their high surface area density, low weight, and ability to create tortuous mixing of fluid. In this work, application of metal foams as heat sinks has been explored. The foam has been represented as a simple cubic structure and heat transfer from a heated base has been treated analogous to that of solid fins. Based on this model, three performance parameters namely, foam efficiency, overall foam efficiency, and foam effectiveness have been evaluated for metal foam heat sinks. Parametric studies with varying foam length, porosity, pore density, material, and fluid velocity have been conducted. It has been observed that geometric mean of foam efficiency and foam effectiveness can be a useful parameter to exactly determine the optimum foam length. Additionally, the variation in temperature profile of different foams heated from one end has been determined experimentally by cooling these with atmospheric air. The experimental results have been presented for open-cell metal foams (10 and 30 PPI) made of copper/aluminium/Fe–Ni–Cr alloy with porosity in the range of 0.908–0.964.

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Fig. 1

Simple cubic structure representation of open cell metal foams attached to base plate[25]

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Fig. 7

(a) Overall foam efficiency (ηf,o) and (b) foam-finned surface efficiency (Ω*) variation against foam length L

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Fig. 2

Pictorial view of the metal foam test samples

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Fig. 5

Variation of experimentally measured (a) outlet air dimensionless temperature against distance from the heated base and (b) pressure drop against fluid velocity

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Fig. 6

Foam efficiency (ηf) and foam effectiveness (εf) variation against dimensionless foam length x/L with change in (a) fluid velocity, (b) material, (c) porosity, and (d) pore density

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Fig. 4

Variation of dimensionless foam temperature ratio θ/θ1 against dimensionless foam length x/L with change in (a) fluid velocity, (b) material, (c) porosity, and (d) pore density

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Fig. 3

(a) Schematic and (b) pictorial view of experimental test rig for measurement of foam thermohydraulic properties [46]

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Fig. 9

Variation of geometric foam efficiency (ηg) against dimensionless foam length x/L with change in (a) fluid velocity, (b) material, (c) porosity, and (d) pore density

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Fig. 8

Variation of (a) foam efficiency (ηf) and (b) overall foam efficiency (ηf,o) against mfL



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