Calculation of the interfacial heat transfer coefficient in porous media employing numerical simulations

Teruel, Federico E.; Díaz, Leonardo

doi:10.1016/j.ijheatmasstransfer.2012.12.022

Cited by 23 publications

(17 citation statements)

References 15 publications

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“…6) will also lead to a periodic rescaled temperature θ and to a constant temperature ratio over the unit cell (Nakayama et al 2004;Teruel & Díaz 2013),…”

Section: Periodically Developed Heat Transfer In Isothermal Solidsmentioning

confidence: 99%

Macro-scale heat transfer in periodically developed flow through isothermal solids

Buckinx

Baelmans

2015

J. Fluid Mech.

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This paper presents spatially averaged temperature equations for modelling macroscale heat transfer in periodic solid structures such as fin and tube arrays. The governing equations for the periodically developed heat transfer regime in isothermal solids are derived. It is shown that the appropriate macro-scale temperature in the periodically developed heat transfer regime is obtained by averaging the temperature with a specific weighting function which is adapted to the temperature decay rate. This matched weighting function allows the representation of the macro-scale interfacial heat transfer and thermal dispersion source by means of a spatially constant interfacial heat transfer coefficient and thermal dispersion vector, which both can be calculated from the periodic rescaled temperature on a unit cell of the solid structures. Moreover, it is proved that for small temperature decay rates, the matched weighting function yields the same macro-scale description as repeated volume averaging. The theoretical framework of this paper is applied to a case study, describing the heat transfer between a fluid and an array of solid cylinders at constant temperature.

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“…6) will also lead to a periodic rescaled temperature θ and to a constant temperature ratio over the unit cell (Nakayama et al 2004;Teruel & Díaz 2013),…”

Section: Periodically Developed Heat Transfer In Isothermal Solidsmentioning

confidence: 99%

Macro-scale heat transfer in periodically developed flow through isothermal solids

Buckinx

Baelmans

2015

J. Fluid Mech.

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“…However, because the details of momentum and energy transfer between the fluid flow and solid structure are lost during the averaging, closure relations are required. These include relations for the interstitial heat transfer coefficients [15][16][17], the inertial loss factor and the permeability (which determines the viscous loss factor) [18][19][20][21][22]. Also relations for the macroscopic (or effective) properties as function of the microscopic http://dx.doi.org/10.1016/j.ijheatmasstransfer.2015.05.013 0017-9310/Ó 2015 Elsevier Ltd. All rights reserved.…”

Section: Introductionmentioning

confidence: 99%

Comparison of metal foam heat exchangers to a finned heat exchanger for low Reynolds number applications

Huisseune

Schampheleire

Ameel

et al. 2015

International Journal of Heat and Mass Transfer

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“…Further studies on the determination of the interfacial heat transfer coefficient can be found in Refs. [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

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

Özgümüş

Mobedi

2014

Journal of Heat Transfer

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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., b ¼ 1.63), Nusselt number increases with porosity while for the high values of pore to throat size ratios (i.e., b ¼ 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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Calculation of the interfacial heat transfer coefficient in porous media employing numerical simulations

Cited by 23 publications

References 15 publications

Macro-scale heat transfer in periodically developed flow through isothermal solids

Macro-scale heat transfer in periodically developed flow through isothermal solids

Comparison of metal foam heat exchangers to a finned heat exchanger for low Reynolds number applications

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

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