In this study, an optimization of the maximum cooling of three radiant heat sources inside a closed square porous environment is performed. Three radiant-heat sources are cooled by airflow in a porous medium with an inclination angle. It is applied in the cooling of electronic equipment inside laptop computers. The cooling phenomenon is a function of five independent variables, such as the length of heat source, radiation parameter, Darcy number, the angle of inclination of a porous medium, and Rayleigh number. Differential equations are solved using the finite-difference approach. And those are solved by the Gauss-Seidel approach. Simulation is a numerical solution of the vorticity–stream equations. Coding is done in MATLAB software. And it is obtained the maximum objective function using the algorithm of particle swarm optimization. Cooling simulations are performed by drawing flow lines, constant temperature lines, dimensionless velocity component profiles, local Nusselt numbers, and mean Nusselt numbers. The main goal is to find the highest cooling rate in different amounts of five independent variables. The flow is in the laminar flow regime, and inclination angles are between 0 to 360°. The present study is the first study on the numerical solution of the cooling of three radiant-heat sources with an inclination angle by the porous media-filled square environment. And it is developed from the cooling of hot radiation walls problems in an inclined enclosure with constant temperature local radiant heat sources. This investigation showed the flow lines and their direction are influenced by the inclination angle of the porous medium strongly, and the maximum heat transfer is achieved at an angle of inclination of zero degrees. This investigation showed at the Darcy number, 0.001, and the radiation parameter, 1. The maximum and minimum Nusselt number is obtained for the inclination angle 60 and 180°, respectively.
ErmolaevIAZhbanovAIOtpushchennikovSV. Investigation of low-intensity convection regimes in a rectangular cavity with a heat flux on the boundary. Fluid Dyn2008; 43(3): 333–340.
2.
KuznetsovGVSheremetMA. Two-dimensional problem of natural convection in a rectangular domain with local heating and heat-conducting boundaries of finite thickness. Fluid Dyn2006; 41(6): 881–890.
3.
ShendeMDMahalleA. Cooling of electronic equipments with heat sink: a review of literature. IOSR J Mechan Civil Eng2013; 5(2): 56–61.
4.
MahapatraSK. Numerical simulation for optimal configuration of heater and cooler locations with natural convection inside a square enclosure and the effect of radiation in the presence of radiatively active medium. Proc Inst Mech Eng C2008; 222(8): 1505–1514.
5.
KentEF. Numerical analysis of laminar natural convection in isosceles triangular enclosures. Proc Inst Mech Eng Part C2009; 223(5): 1157–1169.
6.
DarziAAFarhadiMSedighiK. Numerical study of the fin effect on mixed convection heat transfer in a lid-driven cavity. Proc Inst Mech Eng Part C2011; 225(2): 397–406.
7.
SaleemMAsgharSHossainMA. Natural convection flow in an open rectangular cavity with cold sidewalls and constant volumetric heat source. Proc Inst Mech Eng Part C2011; 225(5): 1191–1201.
8.
VarolYOztopHFKocaA, et al.Natural convection and fluid flow in inclined enclosure with a corner heater. Appl Therm Eng2009; 29(2–3): 340–350.
9.
HadadiHAghanajafiCTorabiF. The analysis of natural convection flow with radiation for a medium inside a triangular enclosure using natural element method. Modares Mech Eng2015; 15(6): 209–220.
10.
BilalSKhanNZShahIA, et al.Heat and flow control in cavity with cold circular cylinder placed in non-newtonian fluid by performing finite element simulations. Coatings2022; 12(1): 16.
11.
BilalSShahMIKhanNZ, et al.Onset about non-isothermal flow of Williamson liquid over exponential surface by computing numerical simulation in perspective of Cattaneo Christov heat flux theory. Alexandria Eng J2022; 61(8): 6139–6150.
12.
BilalSShahIAAkgülA, et al.Finite difference simulations for magnetically effected swirling flow of Newtonian liquid induced by porous disk with inclusion of thermophoretic particles diffusion. Alexandria Eng J2022; 61(6): 4341–4358.
13.
TahirWBilalSKousarN, et al.Analysis about enhancement in thermal characteristics of viscous fluid flow with induction of ferrite particles by using Cattaneo Christov theory. Proc Inst Mech Eng Part C2022; 236(1): 208–218.
14.
QureshiMZBilalSAmeenMB, et al.Numerical examination about entropy generation in magnetically effected hybridized nanofluid flow between orthogonal coaxial porous disks with radiation aspects. Surf Inter2021; 26: 101340.
15.
BilalSMamathaSURajuCS, et al.Dynamics of chemically reactive Jeffery fluid embedded in permeable media along with influence of magnetic field on associated boundary layers under multiple slip conditions. Res Phys2021; 28: 104558.
16.
Guerrero-MartínezFJKarimiNRamosE. Numerical modeling of multiple steady-state convective modes in a tilted porous medium heated from below. Int Commun Heat Mass Transfer2018; 92: 64–72.
17.
Guerrero-MartínezFJYoungerPLKarimiN, et al.Three-dimensional numerical simulations of free convection in a layered porous enclosure. Int J Heat Mass Transfer2017; 106: 1005–1013.
18.
Guerrero-MartínezFJYoungerPLKarimiN. Three-dimensional numerical modeling of free convection in sloping porous enclosures. Int J Heat Mass Transfer2016; 98: 257–267.
19.
MoftakhariAAghanajafiCGhazvinAM. A novel numerical approach for convective and radiative heat transfer analysis of fluid flow problems within triangular cavities using natural element method. J Heat Transfer2017; 139(8): 082002.
20.
AcharyaNChamkhaAJ. On the magnetohydrodynamic Al2O3-water nanofluid flow through parallel fins enclosed inside a partially heated hexagonal cavity. Int Commun Heat Mass Transfer2022; 132: 105885.
21.
AcharyaN. Impacts of different thermal modes of multiple obstacles on the hydrothermal analysis of Fe3O4–water nanofluid enclosed inside a nonuniformly heated cavity. Heat Transfer2022; 51(2): 1376–1405.
22.
AcharyaN. Effects of different thermal modes of obstacles on the natural convective Al2O3-water nanofluidic transport inside a triangular cavity. Proc Inst Mech Eng Part C2022. DOI: 10.1177/09544062211061484.
23.
AcharyaN. On the flow patterns and thermal control of radiative natural convective hybrid nanofluid flow inside a square enclosure having various shaped multiple heated obstacles. The Eur Phys J Plus2021; 136(8): 1–29.
24.
AcharyaN. Finite element analysis on the hydrothermal pattern of radiative natural convective nanofluid flow inside a square enclosure having nonuniform heated walls. Heat Transfer2022; 51(1): 323–354.
25.
MoufekkirFMoussaouiMAMezrhabA, et al.Numerical prediction of heat transfer by natural convection and radiation in an enclosure filled with an isotropic scattering medium. J Quant Spectros Radiative Transfer2012; 113(13): 1689–1704.
26.
NiaMFNassabSAAnsariAB. Transient combined natural convection and radiation in a double space cavity with conducting walls. Int J Therm Sci2018; 128: 94–104.
27.
VarolYOztopHFPopI. Natural convection in porous media-filled triangular enclosure with a conducting thin fin on the hot vertical wall. Proc Inst Mech Eng Part C2008; 222(9): 1735–1743.
28.
AhmedSEHusseinAKMohammedHA, et al.Viscous dissipation and radiation effects on MHD natural convection in a square enclosure filled with a porous medium. Nucl Eng Des2014; 266: 34–42.
29.
VarolYOztopHFVarolA. Free convection in porous media filled right-angle triangular enclosures. Int Commun Heat Mass Transfer2006; 33(10): 1190–1197.
30.
ZahmatkeshI. Influence of thermal radiation on free convection inside a porous enclosure. Momentum2007; 10: 1.
31.
AlizadehRKarimiNNourbakhshA. Effects of radiation and magnetic field on mixed convection stagnation-point flow over a cylinder in a porous medium under local thermal non-equilibrium. J Therm Anal Calorim2020; 140(3): 1371–1391.
32.
SaeedAKarimiNHuntG, et al.On the influences of surface heat release and thermal radiation upon transport in catalytic porous microreactors—a novel porous-solid interface model. Chem Eng Processing-Process Intensification2019; 143: 107602.
33.
HuntGTorabiMGovoneL, et al.Two-dimensional heat and mass transfer and thermodynamic analyses of porous microreactors with Soret and thermal radiation effects—an analytical approach. Chem Eng Processing-Process Intensification2018; 126: 190–205.
34.
TaklifiAAghanajafiC. MHD non-Darcian flow through a non-isothermal vertical surface embedded in a porous medium with radiation. Meccanica2012; 47(4): 929–937.
35.
TaklifiAAghanajafiCAkramiH. The effect of MHD on a porous fin attached to a vertical isothermal surface. Transport in Porous Media2010; 85(1): 215–231.
36.
SivarajCSheremetMA. Natural convection coupled with thermal radiation in a square porous cavity having a heated plate inside. Transport in Porous Media2016; 114(3): 843–857.
37.
Ataei-DadaviIRounaghiNChakkingalM, et al.An experimental study of flow and heat transfer in a differentially side heated cavity filled with coarse porous media. Int J Heat Mass Transfer2019; 143: 118591.
38.
AghanajafiCAbjadpourA. Solution to radiative transfer equation in a 3-D rectangular enclosure due to discontinuous heat flow divergence. Meccanica2013; 48(5): 1127–1138.
39.
AghanajafiCAbjadpourA. Discrete ordinates method applied to radiative transfer equation in complex geometries meshed by structured and unstructured grids. J Braz Soc Mech Sci Eng2016; 38(3): 1007–1019.
40.
NahalAMNobakhtiMHAghanajafiC, et al.Analysis of combined radiation and convection heat transfer inside a porous medium with heat source electronic devices. Proc Inst Mech Eng Part C2022. DOI: 10.1177/09544062211046791.
41.
Vahl DavisGJonesIP. Natural convection in a square cavity: a comparison study. Int J Num Met Fluids1983; 3: 227–248.
