The present investigation exhibits a numerical study on free convection cooling of a heat source embedded on the left side of a square enclosure filled with thermo-dependent fluids. The right wall is maintained at a relatively low temperature, while the rest of the unheated left wall and the horizontal ones are thermally insulated. The governing differential equations are solved numerically using a finite volume method through iterative Semi Implicit Method for Pressure Linked Equation (SIMPLE) algorithm. The main purpose of the present work is to analyze the effect of Rayleigh and Pearson numbers on the fluid structure and temperature patterns, and to subtract the impact of these control parameters on the cooling performance of the enclosure.
REFERENCES
1.
G.
De Vahl Davis
, “Natural convection of air in a square cavity: a benchmark numerical solution
”, Int. J. Num. Method Fluids
, Vol. 3
, pp. 249
–264
(1983
).2.
M.
Lamsaadi
, M.
Naimi
, and M.
Hasnaoui
, “Natural convection heat transfer in shallow horizontal rectangular enclosures uniformly heated from the side and filled with non-Newtonian power law fluids
”. Energy conversion and Management
, 47
(15-16
), 2535
–2551
(2006
).3.
O.
Turan
, N.
Chakraborty
, and R.J.
Poole
, “Laminar natural convection of Bingham fluids in a square enclosure with differentially heated side walls
”. Journal of Non-Newtonian Fluid Mechanics
, 165
(15-16
), 901
–913
(2010
).4.
H.
Daghab
, M.
Kaddiri
, S.
Raghay
, M.
Lamsaadi
, and H.
El Harfi
, “Numerical study of natural convection for generalized second-grade fluids confined in a square cavity subjected to horizontal heat flux
”. International Journal of Heat and Technology
, 39
(2
), 345
–354
(2021
).5.
H.
Daghab
, M.
Kaddiri
, S.
Raghay
, M.
Lamsaadi
, and H.
El Harfi
, “Numerical study of natural convection for second-grade fluids confined in a square cavity subjected to horizontal heat flux
”. AIP Publishing LLC
Vol. 2345
. Num. 1
. p. 020035
(2021
).6.
N.
Ouertatani
, N.B.
Cheikh
, B.B.
Beya
, and T.
Lili
, “Numerical simulation of two-dimensional Rayleigh–Bénard convection in an enclosure
”. Comptes Rendus Mécanique
, 336
(5
), 464
–470
(2008
).7.
H.
Demir
, “Rayleigh–Benard convection of viscoelastic fluid
”. Applied mathematics and computation
, 136
(2-3
), 251
–267
(2003
).8.
M.
Kaddiri
, M.
Naïmi
, A.
Raji
, and M.
Hasnaoui
, “Rayleigh-Bénard convection of non-Newtonian Power-law fluids with temperature-dependent viscosity
”. ISRN Thermodynamics
, 2012
(2012
).9.
O.
Aydin
, and W.J.
Yang
, “Natural convection in enclosures with localized heating from below and symmetrical cooling from sides
”. International Journal of Numerical Methods for Heat & Fluid Flow
, 10
(5
), 518
–529
(2000
).10.
M.A.
Sharif
, and T.R.
Mohammad
, “Natural convection in cavities with constant flux heating at the bottom wall and isothermal cooling from the sidewalls
”. International journal of thermal sciences
, 44
(9
), 865
–878
(2005
).11.
F.
Corvaro
, and M.
Paroncini
, “A numerical and experimental analysis on the natural convective heat transfer of a small heating strip located on the floor of a square cavity
”. Applied Thermal Engineering
, 28
(1
), 25
–35
(2008
).12.
S.H.
Hussain
, A.K.
Hussein
, and M.M.
Mahdi
, “Natural convection in a square inclined enclosure with vee-corrugated sidewalls subjected to constant flux heating from below
”. Nonlinear Analysis: Modelling and Control
, 16
(2
), 152
–169
(2011
).13.
C.
Cianfrini
, M.
Corcione
, E.
Habib
, and A.
Quintino
, “Convective transport in rectangular cavities partially heated at the bottom and cooled at one side
”. Journal of Thermal Science
, 22
(1
), 55
–63
(2013
).14.
M.A.
Hassan
, M.
Pathak
, and M.
Khan
, “Natural convection of viscoplastic fluids in a square enclosure
”. Journal of Heat Transfer
, 135
(12
) (2013
).15.
N.
Nithyadevi
, A.S.
Begum
, and C.U.
Shankar
, “Buoyancy and thermocapillary driven flows in an open cavity with bottom heating and symmetrical cooling from sides
”. International Journal of Heat and Technology
, 33
(1
), 63
–70
(2015
).16.
A.
Horimek
, and E.
Nekag
, “Natural Convection Cooling of a Heat Source Placed at the Bottom of a Square Cavity. Effect of Source Length, Position, Thermal Condition and Prandtl Number
”. International Journal of Heat and Technology
, 38
(3
), 722
–737
(2020
).17.
M.A.
Hassan
, M.
Pathak
, M.K.
Khan
, and N.H.
Khan
, “Natural convection of viscoplastic fluids in an enclosure with partially heated bottom wall
”. International Journal of Thermal Sciences
, 158
, 106527
(2020
).18.
H.
Daghab
, M.
Kaddiri
, S.
Raghay
, I.
Arroub
, M.
Lamsaadi
and H.
Rayhane
, “Finite Volume Simulation of Natural Convection for Power-Law Fluids with Temperature-Dependent Viscosity in a Square Cavity with a Localized Heat Source
”. International Journal of Heat and Technology
, 39
(5
), 1405
–1416
(2021
).19.
O.
Aydin
, and I.
Pop
, “Natural convection from a discrete heater in enclosures filled with a micropolar fluid
”. International journal of engineering science
, 43
(19
), 1409
–1418
(2005
).20.
H.F.
Oztop
, and E.
Abu-Nada
, “Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids
”. Int. J. Heat Fluid Flow
, 29
, 1326
–1336
(2008
).21.
M.
Corcione
, and E.
Habib
, “Buoyant heat transport in fluids across tilted square cavities discretely heated at one side
”. International Journal of Thermal Sciences
49
, 797
–808
(2010
).22.
M.
Saglam
, B.
Sarper
and O.
Aydin
, “Natural Convection in an Enclosure with a Pair of Discrete Heat Sources
”. Journal of Thermophysics and Heat Transfer
, 33
(1
), 234
–245
(2019
).23.
24.
S.
Raghay
, and A.
Hakim
, “Numerical simulation of White–Metzner fluid in a 4:1 contraction
”. Int. J. Numer. Meth. Fluids
, 35
, 559
–573
(2001
).25.
J.P.
Van Doormaal
, and G.D.
Raithby
, “Enhancement of the SIMPLE method for preciding incompressible fluid flows
”. Numerical Heat Transfer
, 7
, 147
–163
(1984
).
This content is only available via PDF.
©2023 Authors. Published by AIP Publishing.
2023
Author(s)
You do not currently have access to this content.
