An experimental study of thermal convection in a porous medium investigates the heat transfer across a horizontal layer heated from below at high Rayleigh number. Using a packed bed of polypropylene spheres in a cubic enclosure saturated with compressed argon, the pressure was varied between 5.6 bar and 77 bar to obtain fluid Rayleigh numbers between 1.68 × 109 and 3.86 × 1011, corresponding to Rayleigh–Darcy numbers between 7.47 × 103 and 2.03 × 106. From the present and earlier studies of Rayleigh–Benard convection in both porous media and homogeneous fluid systems, the existence and importance of a thin thermal boundary layer are clearly demonstrated. In addition to identifying the governing role of the thermal boundary layer at high Rayleigh numbers, the successful correlation of data using homogeneous fluid dimensionless groups when the thermal boundary layer thickness becomes smaller than the length scale associated with the pore features is shown.

References

1.
Combarnous
,
M. A.
, and
Bories
,
S. A.
,
1975
, “
Hydrothermal Convection in a Saturated Porous Media
,”
Adv. Hydrosci.
,
10
, pp.
231
307
.10.1016/B978-0-12-021810-3.50008-4
2.
Cheng
,
P.
,
1978
, “
Heat Transfer in Geothermal Systems
,”
Adv. Heat Transfer
,
14
, pp.
1
105
.10.1016/S0065-2717(08)70085-6
3.
Nield
,
D. A.
, and
Bejan
,
A.
,
2006
,
Convection in Porous Media
, 3rd ed.,
Springer
,
New York
.
4.
Keene
,
D. J.
,
2010
, “
Thermal Convection in a Porous Medium at High Rayleigh Numbers
,” M.S. thesis, University of Minnesota, Minneapolis, MN.
5.
Khashan
,
S. A.
,
Al-Amiri
,
A. M.
, and
Pop
,
I.
,
2006
, “
Numerical Simulation of Natural Convection Heat Transfer in a Porous Cavity Heated From Below Using a Non-Darcian and Thermal Non-equilibrium Model
,”
Int. J. Heat Mass Transfer
,
49
(
5–6
), pp.
1039
1049
.10.1016/j.ijheatmasstransfer.2005.09.011
6.
Georgiadis
,
J. G.
, and
Catton
,
I.
,
1986
, “
Prandtl Number Effect on Benard Convection in Porous Media
,”
ASME J. Heat. Transfer
,
108
(
2
), pp.
284
290
.10.1115/1.3246917
7.
Kladias
,
N.
, and
Prasad
,
V.
,
1989
, “
Natural Convection in Horizontal Porous Layers: Effects of Darcy and Prandtl Numbers
,”
ASME J. Heat Transfer
,
111
(
4
), pp.
926
935
.10.1115/1.3250807
8.
Kladias
,
N.
, and
Prasad
,
V.
,
1990
, “
Flow Transitions in Buoyancy-Induced Convection in a Porous Medium Heated From Below
,”
ASME J. Heat Transfer
,
112
(
3
), pp.
675
684
.10.1115/1.2910440
9.
Kladias
,
N.
, and
Prasad
,
V.
,
1991
, “
Experimental Verification of Darcy-Brinkman-Forchheimer Flow Model for Natural Convection in Porous Media
,”
J. Thermophys.
,
5
(
4
), pp.
560
576
.10.2514/3.301
10.
Lage
,
J. L.
,
1992
, “
Effect of the Convective Inertia Term on Benard Convection in a Porous Medium
,”
Numer. Heat Transfer, Part A
,
22
(
4
), pp.
469
485
.10.1080/10407789208944778
11.
Neischloss
,
H.
, and
Dagan
,
G.
,
1975
, “
Convective Currents in a Porous Layer Heated From Below: The Influence of Hydrodynamic Dispersion
,”
Phys. Fluids
,
18
(7), pp.
757
761
.10.1063/1.861234
12.
Kvernvold
,
O.
, and
Tyvand
,
P.
,
1980
, “
Dispersion Effects on Thermal Convection in Porous Media
,”
J. Fluid Mech.
,
99
(
4
), pp.
673
686
.10.1017/S0022112080000821
13.
Georgiadis
,
J. G.
, and
Catton
,
I.
,
1988
, “
Dispersion in Cellular Thermal Convection in Porous Layers
,”
Int. J. Heat Mass Transfer
,
31
(
5
), pp.
1081
1091
.10.1016/0017-9310(88)90096-8
14.
Howle
,
L. E.
, and
Georgiadis
,
J. G.
,
1994
, “
Natural Convection in Porous Media With Anisotropic Dispersive Thermal Conductivity
,”
Int. J. Heat Mass Transfer
,
37
(
7
), pp.
1081
1094
.10.1016/0017-9310(94)90194-5
15.
Braester
,
C.
, and
Vadasz
,
P.
,
1993
, “
The Effect of a Weak Heterogeneity of a Porous Medium on Natural Convection
,”
J. Fluid Mech.
,
254
, pp.
345
362
.10.1017/S0022112093002162
16.
Kathare
,
V.
,
Davidson
,
J. H.
, and
Kulacki
,
F. A.
,
2008
, “
Natural Convection in Water-Saturated Metal Foam
,”
Int. J. Heat Mass Transfer
,
51
(
15–16
), pp.
3794
3802
.10.1016/j.ijheatmasstransfer.2007.11.051
17.
Davidson
,
J. H.
,
Kulacki
,
F. A.
, and
Savela
,
D.
,
2009
, “
Natural Convection in Water-Saturated Reticulated Vitreous Carbon Foam
,”
Int. J. Heat Mass Transfer
,
52
(
19–20
), pp.
4479
4483
.10.1016/j.ijheatmasstransfer.2009.03.051
18.
Lister
,
C. R. B.
,
1990
, “
An Explanation for the Multivalued Heat Transport Found Experimentally for Convection in a Porous Medium
,”
J. Fluid Mech.
,
214
, pp.
287
320
.10.1017/S0022112090000143
19.
Hollands
,
K. G. T.
,
Raithby
,
G. D.
, and
Konicek
,
L.
,
1975
, “
Correlation Equations for Free Convection Heat Transfer in Horizontal Layers of Air and Water
,”
Int. J. Heat Mass Transfer
,
18
(
7–8
), pp.
879
884
.10.1016/0017-9310(75)90179-9
20.
Fleischer
,
A. S.
, and
Goldstein
,
R. J.
,
2002
, “
High-Rayleigh-Number Convection of Pressurized Gases in a Horiztonal Enclosure
,”
J. Fluid Mech.
,
469
, pp.
1
12
.10.1017/S002211200200174X
21.
Coleman
,
H. W.
, and
Steele
,
W. G.
,
1999
,
Experimentation and Uncertainty Analysis for Engineers
, 2nd ed.,
Wiley
, New York.
22.
Wang
,
M.
, and
Bejan
,
A.
,
1987
, “
Heat Transfer Correlation for Benard Convection in a Fluid Saturated Porous Layer
,”
Int. Commun. Heat Mass Transfer
,
14
(6), pp.
617
626
.10.1016/0735-1933(87)90041-8
23.
Elder
,
J. W.
,
1967
, “
Steady Free Convection in a Porous Medium Heated From Below
,”
J. Fluid Mech.
,
27
(
1
), pp.
29
48
.10.1017/S0022112067000023
You do not currently have access to this content.