Constructal Design of Refrigeration Devices

  • H. ZhangEmail author
  • X. Liu
  • R. Xiong
  • S. Zhu
Part of the Understanding Complex Systems book series (UCS)


The objective of refrigeration is to achieve and maintain a temperature below that of the surroundings. The refrigeration industry is expanding worldwide to fulfill the increasing needs to ensure living conditioning of humans. For example, in China, 10,272 million domestic refrigerators and freezers were manufactured in 2009 [1]. The adverse aspect is that refrigeration devices consume a large amount of energy in the world, which invokes more efficient and economical design. The design of refrigeration devices involves many aspects, in which fluid flow is a key mechanism. Due to the complexity of flow process in refrigeration applications, to a large extent, trial-and-error method has been the mainstream technique for a long time. Since Bejan proposed the constructal law in 1996 [2], principle-based flow system optimization technique has been practiced by many engineers in diverse fields [3, 4]. Like in other flow engineering fields, constructal theory is playing a more and more important role in improving the design of refrigeration devices [3–12]. In this chapter, we present our recent advances in constructal optimization in refrigeration devices through two case studies, i.e., domestic freezers and heat pump water heaters.


Entropy Generation Water Tank Cooling Capacity Floating Plate Temperature Nonuniformity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    National Bureau of Statistics of China. (2011)
  2. 2.
    Bejan A. Constructal-theory network of conducting paths for cooling a heat generating volume. Int J Heat Mass Tran. 1997;40:799–816.Google Scholar
  3. 3.
    Bejan A. Shape and structure, from engineering to nature. Cambridge: Cambridge University Press; 2000.zbMATHGoogle Scholar
  4. 4.
    Bejan A, Lorente S. Design with constructal theory. New York: Wiley; 2008.CrossRefGoogle Scholar
  5. 5.
    Shiba T, Bejan A. Thermodynamic optimization of geometric structure in the counterflow heat exchanger for an environmental control system. Energy. 2001;26:493–511.CrossRefGoogle Scholar
  6. 6.
    Vargas JVC, Bejan A. Integrative thermodynamic optimization of the environmental control system of an aircraft. Int J Heat Mass Tran. 2001;44:3907–17.zbMATHCrossRefGoogle Scholar
  7. 7.
    Bejan A, Siems DL. The need exergy analysis and thermodynamic optimization in aircraft development. Exergy Int J. 2001;1:14–24.CrossRefGoogle Scholar
  8. 8.
    Zamfirescu C, Bejan A. Constructal tree-shaped two-phase flow for cooling a surface. Int J Heat Mass Tran. 2003;46:2785–97.zbMATHCrossRefGoogle Scholar
  9. 9.
    Zamfirescu C, Bejan A. Tree-shaped structures for cold storage. Int J Refrig. 2005;28:231–41.CrossRefGoogle Scholar
  10. 10.
    Reis AH, Miguel AF, Bejan A. Constructal theory of particle agglomeration and design of air-cleaning devices. J Phys D: Appl Phys. 2006;39:2311–8.CrossRefGoogle Scholar
  11. 11.
    Bi Y, Guo T, Zhang L, Chen L, Sun F. Entropy generation minimization for charging and discharging processes in a gas-hydrate cool storage system. Appl Energ. 2010;87:1149–57.CrossRefGoogle Scholar
  12. 12.
    Revellin R, Bonjour J. Entropy generation during flow boiling of pure refrigerant and refrigerant-oil mixture. Int J Refrig. 2011;34:1040–7.CrossRefGoogle Scholar
  13. 13.
    Launder BE, Spalding DB. Lectures in mathematical models of turbulence. London: Academic; 1972.zbMATHGoogle Scholar
  14. 14.
    Launder BE, Spalding DB. The numerical computation of turbulent flows. Comput Method Appl M. 1974;3:269–89.zbMATHCrossRefGoogle Scholar
  15. 15.
    Tao WQ. Numerical heat transfer. 2nd ed. Xi’an: Xi’an Jiao Tong University Press; 2001. Ch. 9.Google Scholar
  16. 16.
    ANSYS FLUENT (Version 12.0) User’s Manual. Fluent IncGoogle Scholar
  17. 17.
    Ma H. Numerical simulations for the laminar and the turbulent natural convection of high Rayleigh number (Ra) in an enclosure (in Chinese). Master Thesis. Wuhan: Huazhong University of Science and Technology; 2004Google Scholar
  18. 18.
    Zhang H, Liu X, Xiong R, Zhu S. Constructal optimization in refrigeration devices: case studies. Constructal Law Conference; 2011 Dec 1–2; Porto Alegre, BrazilGoogle Scholar
  19. 19.
    China Light Industry Association. Household refrigerating appliances – refrigerators (GB/T 8059.1-1995). Beijing: Standard Press of China; 1995.Google Scholar
  20. 20.
    Laguerre O, Flick D. Heat transfer by natural convection in domestic refrigerators. J Food Eng. 2004;62:79–88.CrossRefGoogle Scholar
  21. 21.
    Laguerre O, Amara SB, Moureh J, Flick D. Numerical simulation of air flow and heat transfer in domestic refrigerators. J Food Eng. 2007;81:144–56.CrossRefGoogle Scholar
  22. 22.
    Hermes CJL, Melo C, Knabben FT, Gonclaves JM. Prediction of the energy consumption of household refrigerators and freezers via steady-state simulation. Appl Energ. 2009;86:1311–9.CrossRefGoogle Scholar
  23. 23.
    Borges BN, Hermes CJL, Goncalves JM, Melo C. Transient simulation of household refrigerators: a semi-empirical quasi-steady approach. Appl Energ. 2011;88:748–54.CrossRefGoogle Scholar
  24. 24.
    Yoon WJ, Jung HW, Chung HJ, Kim Y. Performance optimization of a two-cycle with parallel evaporators for a domestic refrigerator-freezer. Int J Refrig. 2011;34:216–24.CrossRefGoogle Scholar
  25. 25.
    Hepbasli A, Kalinci Y. A review of heat pump water heating systems. Renew Sust Energ Rev. 2009;13:1211–29.CrossRefGoogle Scholar
  26. 26.
    Lohani SP, Schmidt D. Comparison of energy and exergy analysis of fossil plant, ground and air source heat pump building heating system. Renew Energ. 2010;35:1275–82.CrossRefGoogle Scholar
  27. 27.
    Stene J. A method for increasing the energy efficiency of residential CO2 heat pump water heater systems. Preliminary Proc of the 5th IIR-Gustav Lorentzen Conference on Natural Working Fluids; 2002, Guangzhou; p. 276–83Google Scholar
  28. 28.
    Cavallini A. Working fluids for mechanical refrigeration. Int J Refrig. 1996;19:485–96.CrossRefGoogle Scholar
  29. 29.
    Chen J, Zhu FQ, Xu SQ. Lorenz cycle and non-azeotropic refrigerants- Investigation on refrigeration cycles with variable temperature heat source (in Chinese). Refrigeration Technology. 1999;4:33–6.Google Scholar
  30. 30.
    Zhang H, Liu X, Chen S, Xiong R. Experimental investigation on air source heat pump water heater with two water tanks based on reciprocating flow heating (in Chinese). Fluid Machinery. 2010;38:61–66, 71.Google Scholar
  31. 31.
    Chen S. Theoretical analysis and experimental investigation on dual-tank heat pump water heater based on reciprocating heating process (in Chinese). Master Thesis. Nanjing: Nanjing University of Science and Technology; 2008Google Scholar
  32. 32.
    Chen S, Zhang H, Liu X. Design of a water tank with floating plate and furl-canister and research on its internal moving, heating and mass transfer performance (in Chinese). Refrigeration Air Conditioning and Electric Power Machinery. 2009;30:20–4.MathSciNetGoogle Scholar
  33. 33.
    Bejan A. Entropy generation through heat and fluid flow. New York: Wiley; 1982.Google Scholar
  34. 34.
    Bejan A. Entropy generation minimization. Boca Raton: CRC Press; 1996.zbMATHGoogle Scholar
  35. 35.
    Pan Q, editor. The history of refrigeration in China (ch. 1). Beijing: Sci and Tech Press of China; 2008Google Scholar
  36. 36.
    Li X. Listen to the ancient footsteps (ch. 2). Chongqing: Chongqing Publishing Group; 2006Google Scholar
  37. 37.
    IIR. IIR listings of refrigeration research priorities. International Institute of Refrigeration; Paris; 2005Google Scholar
  38. 38.
    Lu X. My old home (in Chinese). New Youth.1921;9. Translated into English by Yang X, Yang G. In: Lu Xun: selected works. Beijing: Foreign Languages Press; 2003Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.School of Energy and Power EngineeringNanjing University of Science and TechnologyNanjingChina

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