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Research Papers: Natural and Mixed Convection

Investigation of Mixed Convection Heat Transfer Through Metal Foams Partially Filled in a Vertical Channel by Using Computational Fluid Dynamics

[+] Author and Article Information
Banjara Kotresha

Department of Mechanical Engineering,
National Institute of Technology Karnataka,
Surathkal 575025, India
e-mail: bkotresha@gmail.com

N Gnanasekaran

Department of Mechanical Engineering,
National Institute of Technology Karnataka,
Surathkal 575025, India
e-mail: gnanasekaran@nitk.edu.in

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received February 6, 2018; final manuscript received June 5, 2018; published online July 23, 2018. Assoc. Editor: Zhixiong Guo.

J. Heat Transfer 140(11), 112501 (Jul 23, 2018) (11 pages) Paper No: HT-18-1075; doi: 10.1115/1.4040614 History: Received February 06, 2018; Revised June 05, 2018

Two-dimensional computational fluid dynamics simulations of mixed convection heat transfer through aluminum metal foams partially filled in a vertical channel are carried out numerically. The objective of the present study is to quantify the effect of metal foam thickness on the fluid flow characteristics and the thermal performance in a partially filled vertical channel with metal foams for a fluid velocity range of 0.05–3 m/s. The numerical computations are performed for metal foam filled with 40%, 70%, and 100% by volume in the vertical channel for four different pores per inch (PPIs) of 10, 20, 30, and 45 with porosity values varying from 0.90 to 0.95. To envisage the characteristics of fluid flow and heat transfer, two different models, namely, Darcy Extended Forchheirmer (DEF) and Local thermal non-equilibrium, have been incorporated for the metal foam region. The numerical results are compared with experimental and analytical results available in the literature for the purpose of validation. The results of the parametric studies on vertical channel show that the Nusselt number increases with the increase of partial filling of metal foams. The thermal performance of the metal foams is reported in terms of Colburn j and performance factors.

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Figures

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Fig. 2

Computational domain with boundary conditions

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Fig. 1

Schematic of the vertical channel filled with metal foam: (1) side wall of the channel, (2) heater, (3) aluminum plate, and (4) metal foam

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Fig. 3

Pressure drop comparison with experimental benchmarks for all metal foams

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Fig. 4

Comparison of temperature difference for various metal foams

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Fig. 5

Velocity distribution: (a) effect of PPI and porosity on the velocity distribution and (b) comparison of effect of dimensionless thickness for 10PPI metal foam obtained in the present study with analytical benchmarks

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Fig. 6

Pressure drop: (a) effect of thickness on pressure drop for 10PPI metal foam and (b) pressure drop variation with respect to metal foam PPI

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Fig. 7

Friction factor: (a) effect of metal foam thickness on friction factor for 10PPI metal foam and (b) effect of metal foam pore density on friction factor

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Fig. 8

Average Nusselt number: (a) Nusselt number variations with Reynolds number for different thicknesses of 10PPI metal foam, (b) Nusselt number variations for all PPI metal foams completely filled case, and (c) the effect of PPI on Nusselt number for all the thicknesses at Re = 3000

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Fig. 10

Colburn j factor variations with Reynolds number for (a) 10PPI metal foam thicknesses and (b) for different pore densities of 0.7 H thickness

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Fig. 11

Variations of performance factor with Reynolds number for (a) 10PPI metal foam thicknesses and (b) for different pore densities of 0.7 H thickness

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Fig. 9

Average Nusselt number: (a) Nusselt number variations with Richardson number for different thicknesses of 10PPI metal foam and (b) the effect of PPI on Nusselt number for Hf = 0.7 H

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Fig. 12

Comparison of Nusselt number variations with Reynolds number for 10PPI aluminum and copper metal foams

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Fig. 13

Comparison of Colburn j factor and performance factor with Reynolds number for 10PPI aluminum and copper metal foams

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