This paper deals with a numerical investigation on natural convection heat transfer in a long horizontal annular region formed with a heated inner cylinder and a cooled outer cylinder. Identifying the annular region geometrically by its radius ratio, it is divided into two subregions: a thicker outer subregion is filled with a porous material saturated by air, whereas a thinner inner subregion is clear. Based on the general Darcy–Brinkman–Forchheimer model for flow in porous media, numerical calculations with the control volume method produce the velocity and temperature fields of the air motion in the two subregions. The baseline case corresponds to an annular region of same dimensions, but filled completely with a porous material saturated by air. Upon articulating the physical properties of a porous material with the clear gap size, the analyst will be able to tune those conditions that are conducive to heat transfer reduction across the concentric two-cylinder configuration. The outcome of this paper is equivalent to the determination of superior thermal insulation performance using lesser porous material. In other words, this paper boils down to beneficial energy conservation together with money savings in the purchase of the thermal insulation.

1.
Caltagirone
,
J. P.
, 1976, “
Thermoconvective Instabilities in a Porous Medium Bounded by Two Concentric Horizontal Cylinders
,”
J. Fluid Mech.
0022-1120,
76
, pp.
337
362
.
2.
Caltagirone
,
J. P.
, 1976, “
Instabilités Themoconvectives en Milieux Poreux
,” These de Doctorat d'Etat , Université Pierre et Marie Curie, Paris VI, France.
3.
Charrier-Mojtabi
,
M. C.
,
Mojtabi
,
A.
,
Azalez
,
M.
, and
Larosse
,
G.
, 1991, “
Numerical and Experimental Study of Multicellular Free Convection Flows in an Annular Porous Layer
,”
Int. J. Heat Mass Transfer
,
34
, pp.
3061
3074
. 0017-9310
4.
Barbosa Mota
,
J. P.
, and
Saatdjian
,
E.
, 1994, “
Natural Convection in a Porous Horizontal Cylindrical Annulus
,”
ASME J. Heat Transfer
0022-1481,
116
, pp.
621
626
.
5.
Barbosa Mota
,
J. P.
, and
Saatdjian
,
E.
, 1995, “
Natural Convection in Porous Cylindrical Annuli
,”
Int. J. Numer. Methods Heat Fluid Flow
,
5
, pp.
3
12
. 0961-5539
6.
Himasekhar
,
K.
, and
Bau
,
H. H.
, 1988, “
Two-Dimensional Bifurcation Phenomena in Thermal Convection in Horizontal Concentric Annuli Containing Saturated Porous Media
,”
J. Fluid Mech.
0022-1120,
187
, pp.
267
300
.
7.
Charrier-Mojtabi
,
M. C.
, 1997, “
Numerical Simulation of Two- and Three-Dimensional Free Convection Flows in Horizontal Porous Annulus Using a Pressure and Temperature Formulation
,”
Int. J. Heat Mass Transfer
,
40
, pp.
1521
1533
. 0017-9310
8.
Vafai
,
K.
, and
Tien
,
C. L.
, 1981, “
Boundary and Inertia Effects on Convective Heat Transfer in Porous Media
,”
Int. J. Heat Mass Transfer
,
34
, pp.
195
203
. 0017-9310
9.
Kaviany
,
M.
, 1986, “
Non-Darcian Effects on Natural Convection in Porous Media Confined Between Horizontal Cylinders
,”
Int. J. Heat Mass Transfer
,
29
, pp.
1513
1519
. 0017-9310
10.
Grigull
,
U.
, and
Hauf
,
W.
, 1986, “
Natural Convection in Horizontal Cylindrical Annuli
,”
Proceedings of the 3rd International Heat Transfer Conference
, Vol.
2
, pp.
182
195
.
11.
Powe
,
R. E.
,
Carley
,
C. T.
, and
Bishop
,
E. H.
, 1969, “
Free Convective Flow Patterns in Cylindrical Annuli
,”
ASME J. Heat Transfer
,
91
, pp.
310
314
. 0022-1481
12.
Powe
,
R. E.
,
Carley
,
C. T.
, and
Carruth
,
S. L.
, 1971, “
A Numerical Solution for Natural Convection in Cylindrical Annuli
,”
ASME J. Heat Transfer
,
93
, pp.
210
220
. 0022-1481
13.
Kuehn
,
T.
, and
Goldstein
,
R.
, 1976, “
An Experimental and Theoretical Study of Natural Convection in the Annulus Between Horizontal Concentric Cylinders
,”
J. Fluid Mech.
,
4
, pp.
695
719
. 0022-1120
14.
Kuehn
,
T. H.
, and
Goldstein
,
R. J.
, 1976, “
Correlating Equations for Natural Convection Heat Transfer Between Horizontal Circular Cylinders
,”
Int. J. Heat Mass Transfer
0017-9310,
19
, pp.
1127
1134
.
15.
Fant
,
D. B.
,
Rothmayer
,
A.
, and
Prusa
,
J.
, 1989, “
Natural Convective Flow Instability Between Horizontal Concentric Cylinders
,”
Numerical Methods for Laminar and Turbulent Flow
, Vol.
6
,
C.
Taylor
, ed.,
Pineridge
,
Swansea, England
, pp.
1045
1065
.
16.
Kim
,
C. J.
, and
Ro
,
S. T.
, 1994, “
Numerical Investigation on Bifurcative Natural Convection in an Air-Filled Horizontal Annulus
,”
Proceedings of the 10th International Heat Transfer Conference
, Vol.
7
, Brighton, England,
G. F.
Hewitt
, ed., pp.
85
90
.
17.
Yoo
,
J. S.
, 1998, “
Natural Convection in Narrow Horizontal Cylindrical Annulus: Pr≤0.3
,”
Int. J. Heat Mass Transfer
0017-9310,
41
, pp.
3055
3073
.
18.
Kuehn
,
T. H.
, and
Goldstein
,
R. J.
, 1978, “
An Experimental Study of Natural Convection Heat Transfer in Concentric and Eccentric Horizontal Cylindrical Annuli
,”
ASME J. Heat Transfer
0022-1481,
100
, pp.
635
640
.
19.
McLeod
,
A. E.
, and
Bishop
,
E. H.
, 1989, “
Turbulent Natural Convection of Gases in Horizontal Cylindrical Annuli at Cryogenic Temperatures
,”
Int. J. Heat Mass Transfer
0017-9310,
32
, pp.
1967
1978
.
20.
Desai
,
C. P.
, and
Vafai
,
K.
, 1994, “
An Investigation and Comparative Analysis of Two- and Three-Dimensional Turbulent Natural Convection in a Horizontal Annulus
,”
Int. J. Heat Mass Transfer
0017-9310,
37
, pp.
2475
2504
.
21.
Char
,
M.
, and
Hsu
,
Y. H.
, 1998, “
Comparative Analysis of Linear and Nonlinear Low-Reynolds-Number Eddy Viscosity Models to Turbulent Natural Convection in Horizontal Cylindrical Annuli
,”
Numer. Heat Transfer, Part A
,
33
, pp.
191
206
. 1040-7782
22.
Padilla
,
E. L. M.
, and
Silveira-Neto
,
A.
, 2008, “
Large-Eddy Simulation of Transition to Turbulence in Natural Convection in a Horizontal Annular Cavity
,”
Int. J. Heat Mass Transfer
,
51
, pp.
3656
3668
1040-7782
23.
Aldoss
,
T. K.
,
Alkam
,
M.
, and
Shatarah
,
M.
, 2004, “
Natural Convection From a Horizontal Annulus Partially Filled With a Porous Medium
,”
Int. Commun. Heat Mass Transfer
,
31
, pp.
441
452
. 1040-7782
24.
Leong
,
J. C.
, and
Lai
,
F. C.
, 2006, “
Natural Convection in a Concentric Annulus With a Porous Sleeve
,”
Int. J. Heat Mass Transfer
,
49
, pp.
3016
3027
. 1040-7782
25.
Hewitt
,
G. F.
,
Shires
,
G. L.
, and
Bott
,
T. R.
, 1994,
Process Heat Transfer
,
Begell House
,
New York
.
26.
Nield
,
D. A.
, and
Bejan
,
A.
, 2006,
Convection in Porous Media
, 3rd ed.,
Springer
,
Berlin, Germany
.
27.
Patankar
,
S. V.
, 1980,
Numerical Heat Transfer and Fluid Flow
,
McGraw-Hill
,
New York
/
Hemisphere
,
Washington, DC
.
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