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Porous Media

Impact of Particulate Deposition on the Thermohydraulic Performance of Metal Foam Heat Exchangers: A Simplified Theoretical Model

[+] Author and Article Information
K. Hooman1

School of Mechanical and Mining Engineering,  The University of Queensland, Brisbane QLD 4072, Australiak.hooman@uq.edu.au

A. Tamayol

School of Engineering Science,  Simon Fraser University, Vancouver, BC, 1111, Canada

M. R. Malayeri

Institute of Thermodynamics and Thermal Engineering,  University of Stuttgart, 70550 Stuttgart, Germany

1

Corresponding author.

J. Heat Transfer 134(9), 092601 (Jul 09, 2012) (7 pages) doi:10.1115/1.4006272 History: Received October 16, 2011; Revised February 27, 2012; Published July 09, 2012; Online July 09, 2012

Assuming uniform particulate deposit layer, with deposition layer thickness in the range of 10–400 μm, on the ligaments of a metal foam heat sink, the effects of airborne particle deposition on the steady-state thermohydraulic performance of a metal foam heat sink are examined theoretically. Using a cubic cell model, changes in the foam internal structure, due to deposition, have been theoretically related to the increased pressure drop due to partial blockage of the pores. Our results suggest that the fouled to clean pressure drop ratio is only a function of the ligament to pore diameter ratio. Another interesting observation is that, compared to clean foams, the pressure drop can increase by orders of magnitude depending on the extent to which the pores are blocked. To examine the fouling effects on heat transfer from the foams, a thermal resistance network has been used. Moreover, the heat transfer from metal foams is more affected by fouling at higher fluid velocities. For example, when air is pushed through foams which their ligaments are uniformly covered by particles at 3 m/s, up to 15% decrease in the total heat transfer from the heated surface is predicted.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of the metal foam heat exchanger considered in the present study

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Figure 2

Metal foam microstructure: (a) the actual geometry and (b) representative unit cell

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Figure 3

The network of ligaments forming the metal foam heat exchangers

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Figure 4

The considered thermal resistor network for calculating (a) the equivalent resistance kth column of the ligaments and (b) the overall heat transfer rate

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Figure 5

(a) Relative reduced porosity percentage versus deposition layer thicknesses and (b) normalized pressure drop versus the deposit layer thickness for different foam PPIs

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Figure 6

Normalized pressure drop versus fiber-pore diameter ratio for different foams

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Figure 7

Effects of dust on the Nusselt number for flow through different foams at different air flow velocities

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