Abstract
Free convection heat transfer and flow characteristics in an open-ended enclosure occupied with fluid saturated porous media are highlighted in this paper. All numerical investigations are achieved using the mesoscopic approach thermal Lattice Boltzmann Method (LBM) by using the Darcy-Forchheimer model. The bottom and the top sides of the porous enclosure is thermally isolated with complete or partially heated vertical wall facing the opening sidewall. The partial slice of left wall of the enclosure with a fixed heating length as (H/3) is isothermally heated at the middle, top and bottom locations. However, right side is open to the ambient physical conditions. The influences of partial heating location on free convection characteristics, namely, isotherms, streamlines, centerline variations of horizontal and vertical, average and local Nusselt numbers are explored for Darcy number of 0.01, porosity of 0.4, Rayleigh number of 106 and unity Prandtl number.
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Technical Briefs
References
1.
Vafai
,
K.
, and
Tien
,
C. L.
, 1981
, “
Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media
,” Int. J. Heat Mass Transfer
,
24
(2
), pp. 195
–203
.10.1016/0017-9310(81)90027-22.
Stehlik
,
P.
, 2007
, “
Heat Transfer as an Important Subject in Waste-to-Energy Systems
,” Appl. Therm. Eng.
,
27
, pp. 658
–670
.3.
Magistri
,
L.
,
Traverso
,
A.
,
Massardo
,
A. F.
, and
Shah
,
R. K.
, 2006
, “
Heat Exchangers for Fuel Cell and Hybrid System Applications
,” ASME J. Fuel Cell Sci. Technol.
,
3
(2
), pp. 111
–118
.10.1115/1.21736654.
Kragh
,
J.
,
Rose
,
J.
,
Nielsen
,
T. R.
, and
Svendsen
,
S.
, 2007
, “
New Counter Flow Heat Exchanger Designed for Ventilation Systems in Cold Climates
,” Energy Build
,
39
(11
), pp. 1151
–1158
.10.1016/j.enbuild.2006.12.0085.
Fan
,
R.
,
Jiang
,
Y.
,
Yao
,
Y.
,
Shiming
,
D.
, and
Ma
,
Z.
, 2007
, “
A Study on the Performance of a Geothermal Heat Exchanger Under Coupled Heat Conduction and Groundwater Advection
,” Energy
,
32
(11
), pp. 2199
–2209
.10.1016/j.energy.2007.05.0016.
Al-Farhany
,
K.
, and
Abdulkadhim
,
A.
, 2018
, “
Numerical Simulation for Conjugate Natural Convection in a Partially Heated Rectangular Porous Cavity
,” J. Eng. Appl. Sci.
,
13
(16
), pp. 6823
–6832
.7.
Vafai
,
K.
, 2005
, Handbook of Porous Media
, 2nd ed.,
Marcel Dekker
,
New York
.8.
Martynenko
,
O. G.
, and
Khramtsov
,
P. P.
, 2005
, Free-Convective Heat Transfer
,
Springer
,
Berlin, Germany
.9.
Dullien
,
F. A. L.
, 1991
, Porous Media: Fluid Transport and Pore Structure
, 2nd ed.,
Academic Press
,
New York
.10.
Nield
,
D. A.
, and
Bejan
,
A.
, 2006
, Convection in Porous Media
, 3rd ed.,
Springer
,
New York
.11.
Ingham
,
D. B.
, and
Pop
,
I.
, 2005
, Transport Phenomena in Porous Media III
,
Elsevier
,
Oxford
.12.
Bejan
,
A.
,
Dincer
,
I.
,
Lorente
,
S.
,
Miguel
,
A. F.
, and
Reis
,
A. H.
, 2004
, Porous and Complex Flow Structures in Modern Technologies
,
Springer
,
New York
.13.
Vafai
,
K.
, and
Thiyagaraja
,
R.
, 1987
, “
Analysis of Flow and Heat Transfer at the Interface Region of a Porous Medium
,” Int. J. Heat Mass Transfer
,
30
(7
), pp. 1391
–1405
.10.1016/0017-9310(87)90171-214.
Ho
,
C. J.
, and
Chang
,
J. Y.
, 1994
, “
A Study of Natural Convection Heat Transfer in a Vertical Rectangular Enclosure With Two-Dimensional Discrete Heating: Effect of Aspect Ratio
,” Int. J. Heat Mass Transfer
,
37
(6
), pp. 917
–925
.10.1016/0017-9310(94)90217-815.
Mohamad
,
A. A.
, 2011
, Lattice Boltzmann Method, Fundamentals and Engineering Applications With Computer Codes
,
Springer
, London
.16.
Haghshenas
,
A.
,
Nasr
,
R. M.
, and
Rahimian
,
M. H.
, 2010
, “
Numerical Simulation of Natural Convection in an Open-Ended Square Cavity Filled With Porous Medium by Lattice Boltzmann Method
,” Int. Commun. Heat Mass Transfer
,
37
(10
), pp. 1513
–1519
.10.1016/j.icheatmasstransfer.2010.08.00617.
Mohamad
,
A. A.
,
El-Ganaoui
,
M.
, and
Bennacer
,
R.
, 2009
, “
Lattice Boltzmann Simulation of Natural Convection in an Open-Ended Cavity
,” Int. J. Therm. Sci.
,
48
(10
), pp. 1870
–1875
.10.1016/j.ijthermalsci.2009.02.00418.
Nithiarasu
,
P.
,
Seetharamu
,
K. N.
, and
Sundararajan
,
T.
, 1997
, “
Natural Convective Heat Transfer in a Fluid Saturated Variable Porosity Medium
,” Int. J. Heat Mass Transfer
,
40
(16
), pp. 3955
–3967
.10.1016/S0017-9310(97)00008-219.
Gu
,
Z.
, and
Zhao
,
T. S.
, 2002
, “
Lattice Boltzmann Model for Incompressible Flows Through Porous Media
,” Phys. Rev. E.
,
66
(3
), pp. 66
–75
.10.1103/PhysRevE.66.03630420.
Ergun
,
S.
, 1952
, “
Flow Through Packed Columns
,” Chem. Eng. Prog.
,
48
(2
), pp. 89
–94
.21.
Vafai
,
K.
, 1984
, “
Convective Flow and Heat Transfer in Variable-Porosity Media
,” J. Fluid Mech.
,
147
(1
), pp. 233
–259
.10.1017/S002211208400207X22.
Guo
,
Z.
,
Zheng
,
C.
, and
Shi
,
B.
, 2002
, “
Discrete Lattice Effects on the Forcing Term in the Lattice Boltzmann Method
,” Phys. Rev. E
,
65
(4
), pp. 65
–71
.10.1103/PhysRevE.65.04630823.
Liu
,
Q.
, and
He
,
Y.-L.
, 2017
, “
Lattice Boltzmann Simulations of Convection Heat Transfer in Porous Media
,” Phys. A: Stat. Mech. Appl.
,
465
(C
), pp. 742
–753
.10.1016/j.physa.2016.08.01024.
Chaabane
,
R.
,
Askri
,
F.
, and
Ben Nasrallah
,
S.
, 2011
, “
Parametric Study of Simultaneous Transient Conduction and Radiation in a Two-Dimensional Participating Medium
,” Commun. Nonlinear Sci. Numer. Simul.
,
16
(10
), pp. 4006
–4020
.10.1016/j.cnsns.2011.02.02725.
Chaabane
,
R.
,
Askri
,
F.
, and
Ben Nasrallah
,
S.
, 2011
, “
Analysis of Two-Dimensional Transient Conduction-Radiation Problems in an Anisotropically Scattering Participating Enclosure Using the Lattice Boltzmann Method and the Control Volume Finite Element Method
,” J. Comput. Phys. Commun.
,
182
(7
), pp. 1402
–1413
.10.1016/j.cpc.2011.03.00626.
Chaabane
,
R.
,
Askri
,
F.
, and
Ben Nasrallah
,
S.
, 2011
, “
Application of the Lattice Boltzmann Method to Transient Conduction and Radiation Heat Transfer in Cylindrical Media
,” J. Quant. Spectrosc. Radiat. Transfer
,
112
(12
), pp. 2013
–2027
.10.1016/j.jqsrt.2011.04.00227.
Chaabane
,
R.
,
Askri
,
F.
,
Jemni
,
A.
, and
Ben Nasrallah
,
S.
, 2017
, “
Numerical Study of Transient Convection With Volumetric Radiation Using an Hybrid Lattice Boltzmann BGK-Control Volume Finite Element Method
,” ASME J. Heat Transfer-Trans. ASME
,
139
(9
), p. 092701
.10.1115/1.403615428.
Chaabane
,
R.
,
Askri
,
F.
,
Jemni
,
A.
, and
Ben Nasrallah
,
S.
, 2017
, “
Analysis of Rayleigh-Bénard Convection With Thermal Volumetric Radiation Using Lattice Boltzmann Formulation
,” J. Therm. Sci. Technol.
,
12
(2
), p. JTST0020
.10.1299/jtst.2017jtst002029.
Oztop
,
H. F.
,
Al‐Salem
,
K.
,
Varol
,
Y.
,
Pop
,
I.
, and
Fırat
,
M.
, 2012
, “
Effects of Inclination Angle on Natural Convection in an Inclined Open Porous Cavity With Non-Isothermally Heated Wall
,” Int. J. Numer. Methods Heat Fluid Flow
,
22
(8
), pp. 1053
–1072
.10.1108/09615531211271862Copyright © 2021 by ASME
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