Abstract
The influence of partitions on natural convection in a differentially heated porous enclosure has been investigated for three different partition shapes, namely, sine-wave, corrugated and square-wave shape. The objective is to identify the best partition shape with regard to achieve maximum reduction in the rate of convection heat transfer. Darcy flow model has been used to describe flow in porous media. Coordinate transformation has been used to formulate the governing equations for sine-wave partition owing to its wavy nature. To assess the effectiveness of various partition shapes, the results are compared with porous enclosure without partition and with straight partition. The governing equations are solved using the successive accelerated replacement scheme for a wide range of parameters like partition amplitude, position, Rayleigh number, enclosure aspect ratio (AR), and inclination angle. One of the findings reveals that for the same amplitude and position, the square-wave partition yields the maximum suppression in the value of Nusselt number.
Issue Section:
Natural and Mixed Convection
References
1.
Bejan
,
A.
, and
Anderson
,
R.
, 1981
, “
Heat Transfer Across a Vertical Impermeable Partition Imbedded in Porous Medium
,” Int. J. Heat Mass Transfer
,
24
(7
), pp. 1237
–1245
.10.1016/0017-9310(81)90173-32.
Bejan
,
A.
, 1983
, “
Natural Convection Heat Transfer in a Porous Layer With Internal Flow Obstructions
,” Int. J. Heat Mass Transfer
,
26
(6
), pp. 815
–822
.10.1016/S0017-9310(83)80105-73.
Na
,
T.-Y.
, and
Pop
,
I.
, 1983
, “
Free Convection Flow Past a Vertical Flat Plate Embedded in a Saturated Porous Medium
,” Int. J. Eng. Sci.
,
21
(5
), pp. 517
–526
.10.1016/0020-7225(83)90099-X4.
Chen
,
H. T.
, and
Chen
,
C. K.
, 1988
, “
Free Convection Flow of Non-Newtonian Fluids Along a Vertical Plate Embedded in a Porous Medium
,” ASME J. Heat Transfer
,
110
(1
), pp. 257
–260
.10.1115/1.32504625.
Varol
,
Y.
,
Oztop
,
H. F.
, and
Varol
,
A.
, 2007
, “
Effects of Thin Fin on Natural Convection in Porous Triangular Enclosures
,” Int. J. Therm. Sci.
,
46
(10
), pp. 1033
–1045
.10.1016/j.ijthermalsci.2006.11.0016.
Varol
,
Y.
, and
Oztop
,
H. F.
, 2009
, “
Control of Buoyancy-Induced Temperature and Flow Fields With an Embedded Adiabatic Thin Plate in Porous Triangular Cavities
,” Appl. Therm. Eng.
,
29
(2–3
), pp. 558
–566
.10.1016/j.applthermaleng.2008.03.0187.
Sinha
,
M. K.
,
Sharma
,
R. V.
, and
Kumari
,
S.
, 2016
, “
Numerical Study of Natural Convection in a Spherical Porous Annulus
,” J. Porous Media
,
19
(3
), pp. 277
–286
.10.1615/JPorMedia.v19.i3.708.
Genc
,
G.
, and
Rees
,
D. A. S.
, 2011
, “
The Onset of Convection in Horizontally Partitioned Porous Layers
,” Phys. Fluids
,
23
(6
), p. 064107
.10.1063/1.35898649.
Rees
,
D. A. S.
, 2016
, “
Nonlinear Convection in a Partitioned Porous Layer
,” Fluids
,
1
(3
), p. 24
.10.3390/fluids103002410.
Tasnim
,
S. H.
,
Mahmud
,
S.
, and
Dutta
,
A.
, 2013
, “
Energy Streamlines Analyses on Natural Convection Within Porous Square Enclosure With Internal Obstructions
,” ASME J. Therm. Sci. Eng. Appl.
,
5
(3
), p. 031008
.10.1115/1.402360311.
Zahmatkesh
,
I.
, 2014
, “
Effect of a Thin Fin on Natural Convection Heat Transfer in a Thermally Stratified Porous Layer
,” Emirates J. Eng. Res.
,
19
(2
), pp. 57
–64
. https://eng.uaeu.ac.ae/en/research/journal/issues/v19/abstract_iss2_19/index.shtml12.
Chordiya
,
J.
, and
Sharma
,
R.
, 2019
, “
Study of Natural Convection in Fluid-Saturated Porous Thermal Insulations With Multiple Inclined Diathermal Partitions
,” Int. J. Heat Technol.
,
37
(1
), pp. 123
–130
.10.18280/ijht.37011513.
Chordiya
,
J. S.
, and
Sharma
,
R. V.
, 2018
, “
Numerical Study on the Effects of Multiple Internal Diathermal Obstructions on Natural Convection in a Fluid-Saturated Porous Enclosure
,” Arch. Mech. Eng.
,
65
(4
), pp. 553
–578
.14.
Rees
,
D. A. S.
,
Bassom
,
A. P.
, and
Genc¸
,
G.
, 2014
, “
Weakly Nonlinear Convection in a Porous Layer With Multiple Horizontal Partitions
,” Transp. Porous Media
,
103
(3
), pp. 437
–448
.10.1007/s11242-014-0310-y15.
Chordiya
,
J. S.
, and
Sharma
,
R. V.
, 2018
, “
Conjugate Natural Convection in a Fluid-Saturated Porous Enclosure With Two Solid Vertical Partitions
,” Heat Transfer-Asian Res.
,
47
(8
), pp. 1031
–1047
.10.1002/htj.2136416.
Chordiya
,
J. S.
, and
Sharma
,
R. V.
, 2019
, “
Numerical Study on Effect of Corrugated Diathermal Partition on Natural Convection in a Square Porous Cavity
,” J. Mech. Sci. Technol.
,
33
(5
), pp. 2481
–2491
.10.1007/s12206-019-0445-417.
Shenoy
,
A.
,
Pop
,
I.
, and
Sheremet
,
M.
, 2016
, Convective Flow and Heat Transfer From Wavy Surfaces: Viscous Fluids, Porous Media and Nanofluids
,
CRC Press,
Boca Raton, FL.18.
Jang
,
J.-Y.
, and
Chen
,
C.-N.
, 1989
, “
Natural Convection in an Inclined Porous Enclosure With an Off-Center Diathermal Partition
,” Warme-Und Stoffubertragung
,
24
(2
), pp. 117
–123
.10.1007/BF0178644519.
Mishra
,
A. K.
,
Kumar
,
S.
, and
Sharma
,
R. V.
, 2017
, “
Influence of Property Variation on Natural Convection in a Cubic Box Filled With Heat Generating Porous Medium
,” ICHMT Digital Library Online
, Napoli, Italy, May 28–June 1, pp. 471
–480
.20.
Chordiya
,
J. S.
, and
Sharma
,
R. V.
, 2019
, “
Natural Convection in a Fluid-Saturated Porous Enclosure With a Pair of Vertical Diathermal Partition
,” Int. J. Therm. Sci.
,
144
, pp. 42
–49
.10.1016/j.ijthermalsci.2019.05.02021.
Kaneko
,
T.
,
Mohtadi
,
M.
, and
Aziz
,
K.
, 1974
, “
An Experimental Study of Natural Convection in Inclined Porous Media
,” Int. J. Heat Mass Transfer
,
17
(4
), pp. 485
–496
.10.1016/0017-9310(74)90025-822.
Bejan
,
A.
, 1979
, “
On the Boundary Layer Regime in a Vertical Enclosure Filled With a Porous Medium
,” Lett. Heat Mass Transfer
,
6
(2
), pp. 93
–102
.10.1016/0094-4548(79)90001-823.
Gross
,
R.
,
Bear
,
M.
, and
Hickox
,
C.
, 1986
, “
The Application of Flux-Corrected Transport (FCT) to High Rayleigh Number Natural Convection in a Porous Medium
,” Proceedings of the Eighth International Heat Transfer Conference
, San Francisco, CA, Aug. 17–22, pp. 17
–22
.24.
Baytas
,
A. C.
, and
Pop
,
I.
, 1999
, “
Free Convection in Oblique Enclosures Filled With a Porous Medium
,” Int. J. Heat Mass Transfer
,
42
(6
), pp. 1047
–1057
.10.1016/S0017-9310(98)00208-725.
Trevisan
,
O. V.
, and
Bejan
,
A.
, 1985
, “
Natural Convection With Combined Heat and Mass Transfer Buoyancy Effects in a Porous Medium
,” Int. J. Heat Mass Transfer
,
28
(8
), pp. 1597
–1611
.10.1016/0017-9310(85)90261-3Copyright © 2020 by ASME
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