Forced convection heat transfer in high porosity metal foam, either attached to an isothermal surface or confined between two isothermal plates, has been analyzed, assuming a repetitive simple cubic structure for the foam matrix. The model, in the microscopic level takes account of the forced convective heat transfer coupled with heat conduction through the foam fibers. Analytical expressions have been derived for the gas-solid temperature difference, total heat transfer through the foam, and efficiency of foam as an extended surface. The resulting expressions have strong resemblance with those of the conventional finned surface. The effect of porosity and foam density on the heat transfer in metallic foam has been established through parametric studies. Significant heat-transfer augmentation due to cross connections in metal struts has been noticed.

2.
Kaviany
,
M.
, 1991,
Principles of Heat Transfer in Porous Media
,
Springer
,
New York
.
3.
Lu
,
T. J.
,
Stone
,
H. A.
, and
Ashby
,
M. F.
, 1998, “
Heat Transfer in Open-Cell Metal Foams
,”
Acta Mater.
1359-6454,
46
, pp.
3619
3635
.
4.
Dukhan
,
N.
,
Ramos
,
P. D.
,
Cruz-Ruiz
,
E.
,
Reyes
,
M. V.
, and
Scott
,
E. P.
, 2005, “
One-Dimensional Heat Transfer Analysis in Open-Cell 10-ppi Metal Foam
,”
Int. J. Heat Mass Transfer
0017-9310,
48
, pp.
5112
5120
.
5.
Hsieh
,
W. H.
,
Wu
,
J. Y.
,
Shih
,
W. H.
, and
Chiu
,
W. C.
, 2004, “
Experimental Investigation of Heat-Transfer Characteristics of Aluminum-Foam Heat Sinks
,”
Int. J. Heat Mass Transfer
0017-9310,
47
, pp.
5149
5157
.
6.
Zhang
,
H. Y.
,
Pinjala
,
D.
,
Joshi
,
Y. K.
,
Wong
,
T. N.
,
Toh
,
K. C.
, and
Iyer
,
M. K.
, 2005, “
Fluid Flow and Heat Transfer in Liquid Cooled Foam Heat Sinks for Electronic Packages
,”
IEEE Trans. Compon. Packag. Technol.
1521-3331,
28
(
2
), pp.
272
280
.
7.
Kim
,
S. Y.
,
Lee
,
M. H.
, and
Lee
,
K. S.
, 2005, “
Heat Removal by Aluminum-Foam Heat Sinks in a Multi-Air Jet Impingement
,”
IEEE Trans. Compon. Packag. Technol.
1521-3331,
28
(
1
), pp.
142
148
.
8.
Perrot
,
C.
,
Panneton
,
R.
,
Olny
,
X.
, and
Bouchard
,
R.
, 2003, “
Mesostructural Approach for Characterising Macroscopic Parameters of Open Cell Foams With Computed Microtomography
,”
Proc. Inst. Acoust.
,
25
(
5
), pp.
169
175
.
9.
Paek
,
J. W.
,
Kang
,
B. H.
,
Kim
,
S. Y.
, and
Hyun
,
J. M.
, (2000) “
Effective Thermal Conductivity and Permeability of Aluminum Foam Materials
,”
Int. J. Thermophys.
0195-928X,
21
(
2
), pp.
453
464
.
10.
Despois
,
J. F.
, and
Mortensen
,
A.
, 2005, “
Permeability of Open-Pore Microcellular Materials
,”
Acta Mater.
1359-6454,
53
, pp.
1381
1388
.
11.
Bhattcharya
,
A.
,
Calmidi
,
V. V.
, and
Mahajan
,
R. L.
, 2002, “
Thermophysical Properties of High Porosity Metal Foams
,”
Int. J. Heat Mass Transfer
0017-9310,
45
, pp.
1017
1031
.
12.
Tadrist
,
L.
,
Miscevic
,
M.
,
Rahli
,
O.
, and
Topin
,
F.
, 2004, “
About the Use of Fibrous Materials in Compact Heat Exchangers
,”
Exp. Therm. Fluid Sci.
0894-1777,
28
, pp.
193
199
.
13.
Boomsma
,
K.
,
Poulikakos
,
D.
, and
Zwick
,
F.
, 2003, “
Metal Foams as Compact High Performance Heat Exchangers
,”
Mech. Mater.
0167-6636,
35
, pp.
1161
1176
.
14.
Kamiuto
,
K.
, and
Yee
,
S. S.
, 2005, “
Heat Transfer Correlations for Open-Cellular Porous Materials
,”
Int. Commun. Heat Mass Transfer
0735-1933,
32
, pp.
947
953
.
15.
Antohe
,
B. V.
,
Lage
,
J. L.
,
Price
,
D. C.
, and
Weber
,
R. M.
, 1996, “
Numerical Characterization Micro Heat Exchangers
,”
Int. J. Heat Fluid Flow
0142-727X,
17
(
6
), pp.
594
603
.
16.
Kiwan
,
S.
, and
Al-Nimr
,
M. A.
, 2001, “
Using Porous Fins for Heat Transfer Enhancement
,”
ASME J. Heat Transfer
0022-1481,
123
, pp.
790
795
.
17.
Alkam
,
M. K.
,
Al-Nimr
,
M. A.
, and,
Hamdan
,
M. O.
, 2001, “
Enhancing Heat Transfer in Parallel-Plate Channels by Using Porous Inserts
,”
Int. J. Heat Mass Transfer
0017-9310,
44
, pp.
931
938
.
18.
Boomsma
,
K.
,
Poulikakos
,
D.
, and
Ventikos
,
Y.
, 2003, “
Simulations of Flow Through Open Cell Metal Foams Using an Idealized Periodic Cell Structure
,”
Int. J. Heat Fluid Flow
0142-727X,
24
, pp.
825
834
.
19.
Kim
,
S. Y.
,
Paek
,
J. W.
, and
Kang
,
B. H.
, 2000, “
Flow and Heat Transfer Correlations for Porous Fin in a Plate-Fin Heat Exchanger
,”
ASME J. Heat Transfer
0022-1481,
122
, pp.
572
578
.
20.
Giani
,
L.
,
Groppi
,
G.
, and
Tronconi
,
E.
, 2005, “
Heat Transfer Characterization of Metallic Foams
,”
Ind. Eng. Chem. Res.
0888-5885,
44
, pp.
9078
9085
.
21.
Fuller
,
A. J.
,
Kim
,
T.
,
Hodson
,
H. P.
, and
Lu
,
T. J.
, 2005, “
Measurement and Interpretation of the Heat Transfer Coefficients of Metal Foams
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
0954-4062,
219
, pp.
183
191
.
22.
Prasad
,
B. S. V.
, 1997, “
Fin Efficiency and Mechanisms of Heat Exchange Through Fins in Multistream Plate Fin Heat Exchangers: Development and Application of a Rating Algorithm
,”
Int. J. Heat Mass Transfer
0017-9310,
40
, pp.
4279
4288
.
You do not currently have access to this content.