Abstract

Mixed convection heat transfer in a channel filled with porous medium and containing an isolated heat source at the bottom wall is studied in this work. The porous medium is assumed to be made of circular cylinders and is placed only on the heater surface. Three different configurations of porous medium are considered in this study. Pore-scale numerical simulations are carried out using the exact geometry of porous medium. The same configuration is also investigated using the volume-averaged approximation. The temperature distribution of the heater surface obtained from the pore-scale numerical simulation is compared with the results obtained from the volume-averaged numerical simulation. Parametric studies are carried out by varying the material of the cylinders, the porosity, and the height of the porous medium. The effects of Grashof number and Reynolds number of the flow are also studied as part of this investigation. The results obtained from the pore-scale numerical simulations show that the presence of the porous medium leads to reduction in heat transfer, while the results obtained from the volume-averaged numerical simulations show an enhancement of heat transfer due to the presence of the porous medium on the heater surface. However, the pore-scale numerical simulation results show that the heat transfer enhancement is only possible if the channel height is completely filled with the selected porous medium.

References

1.
Tong
,
T.W.
,
Sharatchandra
,
M.C.
,
Gdoura
,
Z.
,
1993
, “
Using Porous Inserts to Enhance Heat Transfer in Laminar Fully-Developed Flows
,”
Int. Commun. Heat Mass Transf.
,
20
(
6
), pp.
761
770
.10.1016/0735-1933(93)90030-y
2.
Mohamad
,
A. A.
,
2003
, “
Heat Transfer Enhancement in Heat Exchangers Fitted With Porous Media, Part I: Constant Wall Temperature
,”
Int. J. Therm. Sci.
,
42
(
4
), pp.
385
395
.10.1016/S1290-0729(02)00039-X
3.
Maerefat
,
M.
,
Mahmoudi
,
S. Y.
, and
Mazaheri
,
K.
,
2011
, “
Numerical Simulation of Forced Convection Enhancement in a Pipe by Porous Inserts
,”
Heat Transfer Eng.
,
32
(
1
), pp.
45
61
.10.1080/01457631003732854
4.
Hadim
,
A.
,
1994
, “
Forced Convection in a Porous Channel With Localized Heat Sources
,”
ASME J. Heat Transfer
,
116
(
2
), pp.
465
472
.10.1115/1.2911419
5.
Sung
,
H. J.
,
Kim
,
S. Y.
, and
Hyun
,
J. M.
,
1995
, “
Forced Convection From an Isolated Heat Source in a Channel With Porous Medium
,”
Int. J. Heat Fluid Flow
,
16
(
6
), pp.
527
535
.10.1016/0142-727X(95)00032-L
6.
Fu
,
W. S.
,
Huang
,
H. C.
, and
Liou
,
W. Y.
,
1996
, “
Thermal Enhancement in Laminar Channel Flow With a Porous Block
,”
Int. J. Heat Mass Transfer
,
39
(
10
), pp.
2165
2175
.10.1016/0017-9310(95)00208-1
7.
Chikh
,
S.
,
Boumedien
,
A.
,
Bouhadef
,
K.
, and
Lauriat
,
G.
,
1998
, “
Analysis of Fluid Flow and Heat Transfer in a Channel With Intermittent Heated Porous Blocks
,”
Heat Mass Transfer
,
33
(
5–6
), pp.
405
413
.10.1007/s002310050208
8.
Guerroudj
,
N.
, and
Kahalerras
,
H.
,
2010
, “
Mixed Convection in a Channel Provided With Heated Porous Blocks of Various Shapes
,”
Energy Convers. Manag.
,
51
(
3
), pp.
505
517
.10.1016/j.enconman.2009.10.015
9.
Buonomo
,
B.
,
Oronzio
,
M.
,
Lorenzo
,
M.
, and
Sergio
,
N.
,
2014
, “
Experimental Investigation on Mixed Convection in Horizontal Channels Heated Below and Partially Filled With Aluminium Foam
,”
ASME Paper No. HT2013-17306
.10.1115/HT2013-17306
10.
Amiri
,
A.
, and
Vafai
,
K.
,
1994
, “
Analysis of Dispersion Effects and Non-Thermal Equilibrium, Non-Darcian, Variable Porosity Incompressible Flow Through Porous Media
,”
Int. J. Heat Mass Transfer
,
37
(
6
), pp.
939
954
.10.1016/0017-9310(94)90219-4
11.
Mahjoob
,
S.
, and
Vafai
,
K.
,
2009
, “
Analytical Characterization and Production of an Isothermal Surface for Biological and Electronic Applications
,”
ASME J. Heat Transfer
,
131
(
5
), p.
052604
.10.1115/1.2995690
12.
Jiang
,
P. X.
,
1999
, “
Numerical Simulation of Forced Convection Heat Transfer in Porous Plate Channels Using Thermal Equilibrium and Nonthermal Equilibrium Models
,”
Numer. Heat Transfer (Part A)
,
35
(
1
), pp.
99
113
.10.1080/104077899275399
13.
Jiang
,
P. X.
,
Wang
,
Z.
,
Ren
,
Z. P.
, and
Wang
,
B. X.
,
1999
, “
Experimental Research of Fluid Flow and Convection Heat Transfer in Plate Channels Filled With Glass or Metallic Particles
,”
Exp. Therm. Fluid Sci.
,
20
(
1
), pp.
45
54
.10.1016/S0894-1777(99)00030-8
14.
Jiang
,
P. X.
, and
Ren
,
Z. P.
,
2001
, “
Numerical Investigation of Forced Convection Heat Transfer in Porous Media Using a Thermal Non-Equilibrium Model
,”
Int. J. Heat Fluid Flow
,
22
(
1
), pp.
102
110
.10.1016/S0142-727X(00)00066-7
15.
Alazmi
,
B.
, and
Vafai
,
K.
,
2002
, “
Constant Wall Heat Flux Boundary Conditions in Porous Media Under Local Thermal Non-Equilibrium Conditions
,”
Int. J. Heat Mass Transfer
,
45
(
15
), pp.
3071
3087
.10.1016/S0017-9310(02)00044-3
16.
Jiang
,
P.
,
Ren
,
Z.
,
Wang
,
B.
, and
Wang
,
Z.
,
1996
, “
Forced Convective Heat Transfer in a Plate Channel Filled With Solid Particles
,”
J. Therm. Sci.
,
5
(
1
), pp.
43
53
.10.1007/BF02663732
17.
Kun
,
Y.
, and
Vafai
,
K.
,
2010
, “
Analysis of Temperature Gradient Bifurcation in Porous Media - An Exact Solution
,”
Int. J. Heat Mass Transfer
,
53
(
19–20
), pp.
4316
4325
.10.1016/j.ijheatmasstransfer.2010.05.060
18.
Jiang
,
P. X.
,
Si
,
G. S.
,
Li
,
M.
, and
Ren
,
Z. P.
,
2004
, “
Experimental and Numerical Investigation of Forced Convection Heat Transfer of Air in Non-Sintered Porous Media
,”
Exp. Therm. Fluid Sci.
,
28
(
6
), pp.
545
555
.10.1016/j.expthermflusci.2003.07.006
19.
Kuwahara
,
F.
,
Nakayama
,
A.
, and
Koyama
,
H.
,
1996
, “
A Numerical Study of Thermal Dispersion in Porous Media
,”
ASME J. Heat Transfer
,
118
(
3
), pp.
756
761
.10.1115/1.2822696
20.
Kuwahara
,
F.
,
Shirota
,
M.
, and
Nakayama
,
A.
,
2001
, “
A Numerical Study of Interfacial Convective Heat Transfer Coefficient in Two-Energy Equation Model for Convection in Porous Media
,”
Int. J. Heat Mass Transfer
,
44
(
6
), pp.
1153
1159
.10.1016/S0017-9310(00)00166-6
21.
Jiang
,
P. X.
, and
Lu
,
X. C.
,
2006
, “
Numerical Simulation of Fluid Flow and Convection Heat Transfer in Sintered Porous Plate Channels
,”
Int. J. Heat Mass Transfer
,
49
(
9–10
), pp.
1685
1695
.10.1016/j.ijheatmasstransfer.2005.10.026
22.
Imani
,
G. R.
,
Maerefat
,
M.
, and
Hooman
,
K.
,
2012
, “
Estimation of Heat Flux Bifurcation at the Heated Boundary of a Porous Medium Using a Pore-Scale Numerical Simulation
,”
Int. J. Therm. Sci.
,
54
, pp.
109
118
.10.1016/j.ijthermalsci.2011.11.006
23.
Zhang
,
L.
,
Xu
,
R.
, and
Jiang
,
P.
,
2014
, “
Comparison of Volume-Averaged Simulation and Pore-Scale Simulation of Thermal Radiation and Natural Convection in High Temperature Packed Beds
,”
ICPM5
, Kona, Hawaii, June 22–27, pp.
1
6
.https://dc.engconfintl.org/porous_media_V/44/
24.
Yang
,
K.
,
Chen
,
H.
, and
Liu
,
W.
,
2017
, “
Determination of the Stress Jump Coefficient, the Interstitial Heat Transfer Coefficient and the Interface Heat Transfer Coefficient in a Porous Composite System
,”
Int. J. Heat Mass Transfer
,
115
, pp.
657
662
.10.1016/j.ijheatmasstransfer.2017.07.083
25.
Kennedy
,
K. J.
, and
Zebib
,
A.
,
1983
, “
Combined Free and Forced Convection Between Horizontal Parallel Planes: Some Case Studies
,”
Int. J. Heat Mass Transfer
,
26
(
3
), pp.
471
474
.10.1016/0017-9310(83)90052-2
26.
Fluent
,
2011
, “
FLUENT 14 User Guide
,”
ANSYS Inc
.,
Canonburg, PA
.
27.
Kaviany
,
M.
,
1995
, “
Principles of Heat Transfer in Porous Media
,”
Mechanical Engineering Series
,
Springer
,
New York
.
28.
Amiri
,
A.
,
Vafai
,
K.
, and
Kuzay
,
T. M.
,
1995
, “
Effects of Boundary Conditions on Non-Darcian Heat Transfer Through Porous Media and Experimental Comparisons
,”
Numer. Heat Transfer (Part A)
,
27
(
6
), pp.
651
664
.10.1080/10407789508913724
29.
Hayes
,
A. M.
,
Jamil
,
A. K.
,
Shaaban
,
A. H.
, and
Spearing
,
I. G.
,
2008
, “
The Thermal Modeling of a Matrix Heat Exchanger Using a Porous Medium and the Thermal Non-Equilibrium Model
,”
Int. J. Therm. Sci.
,
47
(
10
), pp.
1306
1315
.10.1016/j.ijthermalsci.2007.11.005
30.
Mahmoudi
,
Y.
, and
Mehdi
,
M.
,
2011
, “
Analytical Investigation of Heat Transfer Enhancement in a Channel Partially Filled With a Porous Material Under Local Thermal Non-Equilibrium Condition
,”
Int. J. Therm. Sci.
,
50
(
12
), pp.
2386
2401
.10.1016/j.ijthermalsci.2011.07.008
31.
Ouyang
,
X. L.
,
Vafai
,
K.
, and
Jiang
,
P. X.
,
2013
, “
Analysis of Thermally Developing Flow in Porous Media Under Local Thermal Non-Equilibrium Conditions
,”
Int. J. Heat Mass Transfer
,
67
, pp.
768
775
.10.1016/j.ijheatmasstransfer.2013.08.056
32.
Patankar
,
S. V.
,
1980
, “
Numerical Heat Transfer and Fluid Flow
,”
Hemisphere
,
Washington, DC
.
33.
Bergelin
,
O. P.
,
Davis
,
E. S.
,
Hull
,
H. L.
, and
Sullivan
,
F. W.
,
1950
, “
Heat Transfer and Fluid Friction During Viscous Flow Across Banks of Tubes III, a Study of Tube Spacing and Tube Size
,”
Trans ASME
,
72
, pp.
881
888
.
34.
Zukauskas
,
A.
,
1989
,
High Performance Single Phase Heat Exchangers
,
Hemisphere Publishing Corporation
,
New York
.
You do not currently have access to this content.