Numerical study of the Rayleigh-Benard convection in two-dimensional cavities heated by elliptical heat sources using the lattice Boltzmann method

被引:15
作者
Chaabane, Raoudha [1 ]
Kolsi, Lioua [2 ]
Jemni, Abdelmajid [1 ]
Alshammari, Naif K. [3 ]
D'Orazio, Annunziata [4 ]
机构
[1] Univ Monastir, Lab Thermal & Energet Syst Studies LESTE, Natl Sch Engn Monastir, Monastir, Tunisia
[2] Hail Univ, Dept Mech Engn, Coll Engn, Hail City, Saudi Arabia
[3] Univ Monastir, Natl Engn Sch, Energy Engn Dept, Res Lab Metrol & Energy Syst, Monastir 5000, Tunisia
[4] Sapienza Univ Roma, Dipartimento Ingn Astronaut Elettr & Energet, Fac Ingn, Rome, Italy
关键词
ENTROPY GENERATION ANALYSIS; NANOFLUID FILLED CAVITY; NATURAL-CONVECTION; SQUARE ENCLOSURE; MIXED CONVECTION; TRANSIENT CONDUCTION; SIMULATION; CYLINDERS; RADIATION; MODEL;
D O I
10.1063/5.0073856
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This study aims to investigate numerically the Rayleigh-Benard Convection using an in-house Fortran 90 code based on the lattice Boltzmann method. The bottom wall is equipped with two hot circular/elliptical sources and the right wall is open. The non-linear coupled differential governing equations are formulated using the lattice Boltzmann equation associated with the Boussinesq approximation. The simulations are conducted for (10(3) & LE; Ra & LE; 10(6)) and Pr = 0.7 (corresponding to air). The code verification showed a good reliability of the present mesoscopic numerical approach. Several configurations related to the size and shape of the heaters were studied. It was found that elliptically shaped heat sources provide higher heat transfer rates compared to circular sources.
引用
收藏
页数:9
相关论文
共 52 条
[1]   Simulation of Natural Convection in a Concentric Hexagonal Annulus Using the Lattice Boltzmann Method Combined with the Smoothed Profile Method [J].
Alapati, Suresh .
MATHEMATICS, 2020, 8 (06)
[2]   Lattice-Boltzmann modeling of natural convection in a cavity with a heated plate inside [J].
Alouah, M. ;
Hasnaoui, M. ;
Amahmid, A. ;
Rehhali, K. .
MATERIALS & ENERGY I (2015) / MATERIALS & ENERGY II (2016), 2017, 139 :140-146
[3]   Impact of two-phase hybrid nanofluid approach on mixed convection inside wavy lid-driven cavity having localized solid block [J].
Alsabery, Ammar I. ;
Tayebi, Tahar ;
Kadhim, Hakim T. ;
Ghalambaz, Mohammad ;
Hashim, Ishak ;
Chamkha, Ali J. .
JOURNAL OF ADVANCED RESEARCH, 2021, 30 :63-74
[4]   Impacts of heated rotating inner cylinder and two-phase nanofluid model on entropy generation and mixed convection in a square cavity [J].
Alsabery, Ammar I. ;
Gedik, Engin ;
Chamkha, Ali J. ;
Hashim, Ishak .
HEAT AND MASS TRANSFER, 2020, 56 (01) :321-338
[5]   Numerical simulation of transient natural convection from an isothermal cavity open on a side [J].
Angirasa, D ;
Eggels, JGM ;
Nieuwstadt, FTM .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 1995, 28 (06) :755-768
[6]   LATTICE BOLTZMANN SIMULATION OF FLOW OVER A CIRCULAR CYLINDER AT MODERATE REYNOLDS NUMBERS [J].
Arumuga Perumal, Dharmaraj ;
Kumar, Gundavarapu V. S. ;
Dass, Anoop K. .
THERMAL SCIENCE, 2014, 18 (04) :1235-1246
[7]   Lattice Boltzmann simulation of natural convection around a horizontal elliptic cylinder inside a square enclosure [J].
Bararnia, H. ;
Soleimani, Soheil ;
Ganji, D. D. .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2011, 38 (10) :1436-1442
[8]   THE LATTICE BOLTZMANN-EQUATION - THEORY AND APPLICATIONS [J].
BENZI, R ;
SUCCI, S ;
VERGASSOLA, M .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1992, 222 (03) :145-197
[9]   Recent developments in Rayleigh-Benard convection [J].
Bodenschatz, E ;
Pesch, W ;
Ahlers, G .
ANNUAL REVIEW OF FLUID MECHANICS, 2000, 32 :709-778
[10]   Linear stability of Rayleigh-Benard-Poiseuille convection for electrochemical system [J].
Bograchev, D. A. ;
Davydov, A. D. ;
Volgin, V. M. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2008, 51 (19-20) :4886-4891