Skip to main content
Log in

The influence of viscous heating on the entransy in two-fluid heat exchangers

  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

In the present work, water and olive oil are taken as working fluids to study the influence of viscous heating on the entransy dissipation caused by heat transfer in two-fluid heat exchangers. The results show that the influence of viscous heating on the entransy loss associated with heat transfer can not be neglected for the liquids having large dynamic viscosity. The viscous heating effect maintains the heat transfer ability of the working fluids, relatively reduces the entransy loss in heat exchangers; the viscous heating effect relatively augments the entropy generation due to heat transfer and the available energy destruction in heat exchangers. For the working fluid having large dynamic viscosity, the increasing rates of the entransy and entropy generation contributed by the viscous heating are even larger than those contributed by heat transfer, when the mass flow rate of working fluid reaches a certain value under the fixed heat transfer area condition. Thus, the entransy loss rate decreases and the growth rate of entropy generation increases as the mass flow rate of the working fluid increases. Under the same other conditions, the heat transfer entransy loss rate and entropy generation rate per unit heat transfer rate obtained when the fluid having a smaller heat capacity rate is cold fluid are less than those obtained when the fluid having a smaller heat capacity rate is hot fluid.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Yilmaz M, Sara O N, Karsli S. Performance evaluation criteria for heat exchangers based on second law analysis. Exergy Int J, 2001, 1(4): 278–294

    Article  Google Scholar 

  2. Glansdorff P, Prigogine I. Thermodynamic Theory of Structure, Stability and Fluctuations. London: Wiley-Interscience, 1971

    MATH  Google Scholar 

  3. Prigogine I. Introduction to Thermodynamics of Irreversible Process. 3rd ed. New York: Interscience Publishers, 1967

    Google Scholar 

  4. Bejan A. Entropy Generation Through Heat and Fluid Flow. New York: Wiley, 1982

    Google Scholar 

  5. Bejan A. Advanced Engineering Thermodynamics. New York: Wiley, 1988

    Google Scholar 

  6. Bejan A. Entropy Generation Minimization. Boca Raton: CRC Press, 1996

    MATH  Google Scholar 

  7. Bertola V, Cafaro E. A critical analysis of the minimum entropy production theorem and its application to heat and fluid flow. Int J Heat Mass Transfer, 2008, 51(7–8): 1907–1912

    Article  MATH  Google Scholar 

  8. Bejan A. Second law analysis in heat transfer. Energy, 1980, 5: 720–732

    Article  Google Scholar 

  9. Hesselgreaves J E. Rationalisation of second law analysis of heat exchangers. Int J Heat Mass Transfer, 2000, 43(22): 4189–4204

    Article  MATH  Google Scholar 

  10. Guo Z Y, Cheng X G, Xia Z Z. Least dissipation principle of heat transport potential capacity and its application in heat conduction optimization. Chinese Sci Bull, 2003, 48(4): 406–410

    Google Scholar 

  11. Guo Z Y, Zhu H Y, Liang X G. Entrans—A physical quantity describing heat transfer ability. Int J Heat Mass Transfer, 2007, 50(13–14): 2545–2556

    Article  MATH  Google Scholar 

  12. Han G Z, Guo Z Y. Physical mechanism of heat conduction ability dissipation and its analytical expression (in Chinese). Proceedings of the CSEE, 2007, 27: 98–102

    Google Scholar 

  13. Liu X B, Meng J A, Guo Z Y. Entropy generation extremum and entransy dissipation extremum for heat exchanger optimization. Chinese Sci Bull, 2009, 54(6): 943–947

    Article  Google Scholar 

  14. Guo J F, Cheng L, Xu M T. Entransy dissipation number and its application to heat exchanger performance evaluation. Chinese Sci Bull, 2009, 54(15): 2708–2713

    Article  Google Scholar 

  15. Chen Q, Wang M R, Pan N, et al. Optimization principles for convective heat transfer. Energy, 2009, 34(9): 1199–1206

    Article  Google Scholar 

  16. Guo J F, Xu M T, Cheng L. Principle of equipartition of entransy dissipation for heat exchanger design. Sci China Tech Sci, 2010, 53(5): 1309–1314

    Article  MATH  Google Scholar 

  17. Xu M T, Guo J F, Cheng L. Application of entransy dissipation the ory in heat convection. Front Energy Power Eng China, 2009, 3(4): 402–405

    Article  Google Scholar 

  18. Xu M T, Cheng L, Guo J F. An application of entransy dissipation theory to heat exchanger design (in Chinese). J Eng Thermophys, 2009, 30(12): 2090–2092

    Google Scholar 

  19. Guo J F, Xu M T, Cheng L. The application of entransy dissipation theory in optimization design of heat exchanger. In: Proceedings of the 14th International Heat Transfer Conference, Washington D. C., USA, 2010

  20. Xiao Q H, Chen L G, Sun F R. Constructal entransy dissipation rate and flow-resistance minimizations for cooling channels. Sci China Tech Sci, 2010, 53(9): 2458–2468

    Article  MATH  Google Scholar 

  21. Chen L, Chen Q, Li Z, et al. Optimization for a heat exchanger couple based on the minimum thermal resistance principle. Int J Heat Mass Transfer, 2009, 52: 4778–4784

    Article  MATH  Google Scholar 

  22. Wu J, Liang X G. Application of entransy dissipation extremum principle in radiative heat transfer optimization. Sci China Ser E-Tech Sci, 2008, 51(8): 1306–1314

    Article  MATH  MathSciNet  Google Scholar 

  23. Xie Z H, Chen L G, Sun F R. Constructal optimization for geometry of cavity by taking entransy dissipation minimization as objective. Sci China Tech Sci, 2009, 52(12): 3504–3513

    Article  MATH  Google Scholar 

  24. Wei S H, Chen L G, Sun F R. “Volume-Point” heat conduction constructal optimization with entransy dissipation minimization objective based on rectangular element. Sci China Tech Sci, 2008, 51(8): 1283–1295

    Article  MATH  Google Scholar 

  25. Chen Q, Yang K D, Wang M R, et al. A new approach to analysis and optimization of evaporative cooling system I: Theory. Energy, 2010, 35: 2448–2454

    Article  Google Scholar 

  26. Liu X B, Wang M R, Meng J A, et al. Minimum entransy dissipation principle for optimization of transport networks. Int J Nonlin Sci Num, 2010, 11: 113–120

    Google Scholar 

  27. Wei S H, Chen L G, Sun F R. Constructal multidisciplinary optimization of electromagnet based on entransy dissipation minimization. Sci China Tech Sci, 2009, 52(10): 2981–2989

    Article  MATH  Google Scholar 

  28. Li Z X, Guo Z Y. The Field Synergy Theory in Covective Heat Transfer Optimization (in Chinese). Beijing: Science Press, 2010

    Google Scholar 

  29. Zhang Z X, Dong Z N. Viscous Fluid Mechanics (in Chinese). Beijing: Tsinghua University Press, 1998

    Google Scholar 

  30. Şahin A Z. Thermodynamic design optimization of a heat recuperator. Int Commun Heat Mass, 1997, 24: 1029–1038

    Article  Google Scholar 

  31. Bagalagel S M, Şahin A Z. Design optimization of heat exchangers with high-viscosity fluids. Int J Energ Res, 2002, 26: 867–880

    Article  Google Scholar 

  32. Gnielinski V. New equations for heat and mass transfer in turbulent pipe and channel flows. Int Chem Eng, 1976, 16(2): 359–367

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to JiangFeng Guo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guo, J., Xu, M. & Cheng, L. The influence of viscous heating on the entransy in two-fluid heat exchangers. Sci. China Technol. Sci. 54, 1267–1274 (2011). https://doi.org/10.1007/s11431-010-4255-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-010-4255-2

Keywords

Navigation