Optimal search of heat sources location in conjugate natural convection with surface radiation in a two-dimensional enclosure utilizing particle swarm optimization algorithm

Authors

1 Mechanical Engineering Department, Faculty of Engineering, University of Birjand, Birjand, Iran

2 Mechanical Engineering Department, Faculty of Engineering, University of Birjand, Birjand, Iran.

Abstract

In this paper, the numerical analysis of the conjugate natural convection with surface radiation in a two-dimensional enclosure is carried out in order to search the optimum location of the boundary constant flux heat sources to minimize the temperature of the heat sources surface using the particle swarm algorithm. The air is considered as an incompressible fluid and a transparent media inside the enclosure with a steady and laminar flow regime. The surfaces of the enclosure are also considered to be opaque, diffuse and gray. The governing equations are solved using the stream function and vorticity formulation with the finite difference method. The maximum temperature and the location of heat sources are selected as the objective function and design variables, respectively. The results show that the minimum value of the maximum dimensionless temperature of the heat source decreases with the increase of emissivity or Rayleigh number. By increasing the Rayleigh number, the optimal location of heat sources shifts to the bottom for configurations with one or two heat sources. By increasing the emissivity in each Rayleigh number, the optimal value of the heat sources center location approaches to the center and in the configurations with two and three heat sources is close to each other.

Keywords

References

[1] de Vahl Davis G, Jones IP (1983) Natural convection in a square cavity: a comparison exercise. Int J Numer methods fluids 3: 227-248.
[2] Cheikh N Ben, Beya B Ben, Lili T (2007) Influence of thermal boundary conditions on natural convection in a square enclosure partially heated from below. Int Commun heat mass Transf 34: 369-379.
[3] Chu H-S, Churchill SW, Patterson CVS (1976) The effect of heater size, location, aspect ratio, and boundary conditions on two-dimensional, laminar, natural convection in rectangular channels. J Heat Transfer 98: 194-201.
[4] Türkoglu H, Yücel N (1995) Effect of heater and cooler locations on natural convection in square cavities. Numer Heat Transf Part A Appl 27: 351-358.
[5] Ngo I-L, Byon C (2015) Effects of heater location and heater size on the natural convection heat transfer in a square cavity using finite element method. J Mech Sci Technol 29: 2995-3003.
[6] Da Silva AK, Lorente S, Bejan A (2004) Optimal distribution of discrete heat sources on a wall with natural convection. Int J Heat Mass Transf 47: 203-214.
[7] Rahimi-Gorji M, Ghajar M, Kakaee A-H, Ganji DD (2017) Modeling of the air conditions effects on the power and fuel consumption of the SI engine using neural networks and regression. J Brazilian Soc Mech Sci Eng 39: 375-384.
[8] Kadiyala PK, Chattopadhyay H (2011) Optimal location of three heat sources on the wall of a square cavity using genetic algorithms integrated with artificial neural networks. Int Commun Heat Mass Transf 38: 620-624.
[9] پایان س, عظیمی فر آ (2017) کمینه‌سازی میزان انتقال حرارت از محفظه های مستطیلی با جابجایی آزاد در نسبت-های منظری مختلف با یافتن مشخصات آرایه‌ای ازپره‌های نازک عایق به وسیله الگوریتم کوچ پرندگان. نشریه مهندسی مکانیک امیرکبیر.
[10] Baïri A, de María JMG, Baïri I, et al (2012) 2D transient natural convection in diode cavities containing an electronic equipment with discrete active bands under constant heat flux. Int J Heat Mass Transf 55: 4970-4980.
[11] Soleimani S, Ganji DD, Gorji M, et al (2011) Optimal location of a pair heat source-sink in an enclosed square cavity with natural convection through PSO algorithm. Int Commun Heat Mass Transf 38: 652-658.
[12] Sawant SM, Rao CG (2008) Conjugate mixed convection with surface radiation from a vertical electronic board with multiple discrete heat sources. Heat Mass Transf 44: 1485.
[13] Ahamad SI, Balaji C (2016) Inverse conjugate mixed convection in a vertical substrate with protruding heat sources: a combined experimental and numerical study. Heat Mass Transf 52: 1243-1254.
[14] Hotta TK, Muvvala P, Venkateshan SP (2013) Effect of surface radiation heat transfer on the optimal distribution of discrete heat sources under natural convection. Heat Mass Transf 49: 207-217.
[15] Raji A, Hasnaoui M (2001) Combined mixed convection and radiation in ventilated cavities. Eng Comput 18: 922-949.
[16] Ridouane EH, Hasnaoui M, Amahmid A, Raji A (2004) Interaction between natural convection and radiation in a square cavity heated from below. Numer Heat Transf Part A Appl 45: 289-311.
[17] Howell JR, Menguc MP, Siegel R (2010) Thermal radiation heat transfer. CRC press.
[18] Kennedy J, Eberhart R (1995) Proceedings of IEEE international conference on neural networks. Perth, Aust.
[19] Eberhart R, Kennedy J (1995) A new optimizer using particle swarm theory. In: Micro Machine and Human Science, 1995. MHS’95., Proceedings of the Sixth International Symposium on IEEE 39-43
[20] Zaraki A, Othman MF Bin (2009) Implementing particle swarm optimization to solve economic load dispatch problem. In: Soft Computing and Pattern Recognition, 2009. SOCPAR’09. International Conference of IEEE 60-65.
[21] Shi Y, Eberhart R (1998) A modified particle swarm optimizer. In: Evolutionary Computation Proceedings, 1998. IEEE World Congress on Computational Intelligence, The 1998 IEEE International Conference on IEEE 69-73.
[22] Ding P (2012) Solution of inverse convection heat transfer problem using an enhanced particle swarm optimization algorithm. J Heat Transfer 134: 11702.
[23] de Vahl Davis G (1983) Natural convection of air in a square cavity: a bench mark numerical solution. Int J Numer methods fluids 3: 249-264.
[24] Sharif MAR, Mohammad TR (2005) Natural convection in cavities with constant flux heating at the bottom wall and isothermal cooling from the sidewalls. Int J Therm Sci 44: 865-878.
[25] Wang H, Xin S, Le Quéré P (2006) Étude numérique du couplage de la convection naturelle avec le rayonnement de surfaces en cavité carrée remplie d’air. Comptes Rendus Mécanique 334: 48-57.
[26] Pant M, Thangaraj R, Abraham A (2009) Particle swarm optimization: performance tuning and empirical analysis. Found Comput Intell 3: 101-128.
[27] Bejan A, Lorente S (2008) Design with constructal theory.
Journal of Solid and Fluid Mechanics
Volume 8, Issue 2
July 2018
Pages 177-191

Files

Share

How to cite

Statistics