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Research Papers: Porous Media

Effect of Pore to Throat Size Ratio on Interfacial Heat Transfer Coefficient of Porous Media

[+] Author and Article Information
Turkuler Ozgumus

Department of Mechanical Engineering,
Izmir Institute of Technology,
Urla, Izmir 35430, Turkey
e-mail: turkulerozgumus@iyte.edu.tr

Moghtada Mobedi

Department of Mechanical Engineering,
Izmir Institute of Technology,
Urla, Izmir 35430, Turkey
e-mail: moghtadamobedi@iyte.edu.tr

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 23, 2014; final manuscript received September 25, 2014; published online October 28, 2014. Assoc. Editor: Andrey Kuznetsov.

J. Heat Transfer 137(1), 012602 (Oct 28, 2014) (9 pages) Paper No: HT-14-1341; doi: 10.1115/1.4028764 History: Received May 23, 2014; Revised September 25, 2014

In this study, the effects of pore to throat size ratio on the interfacial heat transfer coefficient for a periodic porous media containing inline array of rectangular rods are investigated, numerically. The continuity, Navier–Stokes, and energy equations are solved for the representative elementary volume (REV) of the porous media to obtain the microscopic velocity and temperature distributions in the voids between the rods. Based on the obtained microscopic temperature distributions, the interfacial convective heat transfer coefficients and the corresponding Nusselt numbers are computed. The study is performed for pore to throat size ratios between 1.63 and 7.46, porosities from 0.7 to 0.9, and Reynolds numbers between 1 and 100. It is found that in addition to porosity and Reynolds number, the parameter of pore to throat size ratio plays an important role on the heat transfer in porous media. For the low values of pore to throat size ratios (i.e., β = 1.63), Nusselt number increases with porosity while for the high values of pore to throat size ratios (i.e., β = 7.46), the opposite behavior is observed. Based on the obtained numerical results, a correlation for the determination of Nusselt number in terms of porosity, pore to throat size ratio, Reynolds and Prandtl numbers is proposed.

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Figures

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Fig. 1

The schematic view of the considered porous medium

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Fig. 2

The effect of number of grid on the obtained Nusselt number for ε = 0.9, Re = 100, and β = 1.63 and β = 7.46

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Fig. 3

The comparison of the present numerical results with reported studies in literature

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Fig. 4

The change of velocity profiles at the inlet and outlet through the iterative procedure to obtain periodic velocity distribution in the studied REV (β = 1.63, ε = 0.7, and Re = 100)

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Fig. 5

The change of dimensionless temperature (θ) profiles at the inlet and outlet through the iterative procedure to obtain periodic temperature distribution in the studied REV (β = 1.63, ε = 0.7, and Re = 100)

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Fig. 6

The streamlines (on the right) and temperature contours (on the left) for β = 1.63 and ε = 0.7, (a) Re = 1, (b) Re = 10, and (c) Re = 100

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Fig. 7

The variations of local interfacial Nusselt number along the solid–fluid interface for β = 1.63 and ε = 0.7

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Fig. 8

The streamlines (on the right) and temperature contours (on the left) for β = 7.46 and ε = 0.7, (a) Re = 1, (b) Re = 10, and (c) Re = 100

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Fig. 9

The variations of local interfacial Nusselt numbers along the solid–fluid interface for β = 7.46 and ε = 0.7

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Fig. 10

The change of interfacial Nusselt number with Reynolds number for porous structure with ε = 0.7 and different pore to throat size ratios

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Fig. 11

The variations of local interfacial Nusselt numbers along the solid–fluid interfaces with porosity for β = 1.63 (a) Re = 1 and (b) Re = 100

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Fig. 12

The change of interfacial Nusselt number with Re number for β = 1.63 and different porosities

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Fig. 13

The dimensionless temperature contours in porous media with Re = 100 and β = 1.63, (a) ε = 0.75 and (b) ε = 0.9

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Fig. 14

The variations of local interfacial Nusselt numbers along the solid–fluid interfaces with porosity for β = 7.46, (a) Re = 1 and (b) Re = 100

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Fig. 15

The change of interfacial Nusselt number with Re number for porous media with β = 7.46

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Fig. 16

The applicability of the correlation (a) the comparison of the obtained numerical values of Nu values with the suggested correlation, (b) the comparison of the suggested correlation with the reported values in literature for ε = 0.75 and β = 2

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