Natural convection in water-saturated metal foam

V. Kathare; J. H. Davidson; F. A. Kulacki

doi:10.1016/j.ijheatmasstransfer.2007.11.051

Natural convection in water-saturated metal foam

V. Kathare, J. H. Davidson, F. A. Kulacki

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

Natural convection in water-saturated copper foam is measured for 2.5 × 10^-4 < Da < 1.2 × 10^-5, 10 < Ra_m < 210, and 7.5 × 10⁵ < Ra_f < 2.5 × 10⁸. Experiments are reported for foam with 92% porosity and 10 and 20 pores per inch. The primary finding is that the Nusselt numbers do not follow the published heat transfer correlations with Rayleigh number for a packed bed of spheres and are 27-42% less than that predicted by these correlations at the maximum Rayleigh numbers encountered for Da ∼ 10^-5. A single heat transfer correlation of Nusselt number is obtained in terms of Rayleigh and a modified Prandtl number equal to Pr_m Da^{- 1 / 2} C_f^{- 1}. In comparison to natural convection in a water layer, enhancement of heat transfer is primarily via conduction. Enhancement of the advective component of heat transfer is obtained only for Ra_f ∼ 10⁸ and 1.2 × 10^-5 ≤ Da ≤ 2.4 × 10^-5.

Original language	English (US)
Pages (from-to)	3794-3802
Number of pages	9
Journal	International Journal of Heat and Mass Transfer
Volume	51
Issue number	15-16
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2007.11.051
State	Published - Jul 15 2008

Bibliographical note

Funding Information:
The support of this work by the National Renewable Energy Laboratory, the University of Minnesota’s Initiative for Renewable Energy and the Environment and the US Department of Energy is appreciated.

Keywords

Metal foam
Natural convection
Porous media

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10.1016/j.ijheatmasstransfer.2007.11.051

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title = "Natural convection in water-saturated metal foam",

abstract = "Natural convection in water-saturated copper foam is measured for 2.5 × 10-4 < Da < 1.2 × 10-5, 10 < Ram < 210, and 7.5 × 105 < Raf < 2.5 × 108. Experiments are reported for foam with 92\% porosity and 10 and 20 pores per inch. The primary finding is that the Nusselt numbers do not follow the published heat transfer correlations with Rayleigh number for a packed bed of spheres and are 27-42\% less than that predicted by these correlations at the maximum Rayleigh numbers encountered for Da ∼ 10-5. A single heat transfer correlation of Nusselt number is obtained in terms of Rayleigh and a modified Prandtl number equal to Prm Da- 1 / 2 Cf- 1. In comparison to natural convection in a water layer, enhancement of heat transfer is primarily via conduction. Enhancement of the advective component of heat transfer is obtained only for Raf ∼ 108 and 1.2 × 10-5 ≤ Da ≤ 2.4 × 10-5.",

keywords = "Metal foam, Natural convection, Porous media",

author = "V. Kathare and Davidson, \{J. H.\} and Kulacki, \{F. A.\}",

note = "Funding Information: The support of this work by the National Renewable Energy Laboratory, the University of Minnesota{\textquoteright}s Initiative for Renewable Energy and the Environment and the US Department of Energy is appreciated.",

year = "2008",

month = jul,

day = "15",

doi = "10.1016/j.ijheatmasstransfer.2007.11.051",

language = "English (US)",

volume = "51",

pages = "3794--3802",

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T1 - Natural convection in water-saturated metal foam

AU - Kathare, V.

AU - Davidson, J. H.

AU - Kulacki, F. A.

N1 - Funding Information: The support of this work by the National Renewable Energy Laboratory, the University of Minnesota’s Initiative for Renewable Energy and the Environment and the US Department of Energy is appreciated.

PY - 2008/7/15

Y1 - 2008/7/15

N2 - Natural convection in water-saturated copper foam is measured for 2.5 × 10-4 < Da < 1.2 × 10-5, 10 < Ram < 210, and 7.5 × 105 < Raf < 2.5 × 108. Experiments are reported for foam with 92% porosity and 10 and 20 pores per inch. The primary finding is that the Nusselt numbers do not follow the published heat transfer correlations with Rayleigh number for a packed bed of spheres and are 27-42% less than that predicted by these correlations at the maximum Rayleigh numbers encountered for Da ∼ 10-5. A single heat transfer correlation of Nusselt number is obtained in terms of Rayleigh and a modified Prandtl number equal to Prm Da- 1 / 2 Cf- 1. In comparison to natural convection in a water layer, enhancement of heat transfer is primarily via conduction. Enhancement of the advective component of heat transfer is obtained only for Raf ∼ 108 and 1.2 × 10-5 ≤ Da ≤ 2.4 × 10-5.

AB - Natural convection in water-saturated copper foam is measured for 2.5 × 10-4 < Da < 1.2 × 10-5, 10 < Ram < 210, and 7.5 × 105 < Raf < 2.5 × 108. Experiments are reported for foam with 92% porosity and 10 and 20 pores per inch. The primary finding is that the Nusselt numbers do not follow the published heat transfer correlations with Rayleigh number for a packed bed of spheres and are 27-42% less than that predicted by these correlations at the maximum Rayleigh numbers encountered for Da ∼ 10-5. A single heat transfer correlation of Nusselt number is obtained in terms of Rayleigh and a modified Prandtl number equal to Prm Da- 1 / 2 Cf- 1. In comparison to natural convection in a water layer, enhancement of heat transfer is primarily via conduction. Enhancement of the advective component of heat transfer is obtained only for Raf ∼ 108 and 1.2 × 10-5 ≤ Da ≤ 2.4 × 10-5.

KW - Metal foam

KW - Natural convection

KW - Porous media

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M3 - Article

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SN - 0017-9310

VL - 51

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EP - 3802

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 15-16

ER -

Natural convection in water-saturated metal foam

Abstract

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