Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Heat devices in nonlinear irreversible thermodynamics

Y. Izumida*

K. Okuda

J. M. M. Roco and A. Calvo Hernández

  • Department of Information Sciences, Ochanomizu University 2-1-1 Otsuka, Bunkyo-ku, Tokyo 112-8620, Japan

  • Division of Physics, Hokkaido University, Sapporo 060-0810, Japan

  • Departamento de Física Aplicada, and Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM), Universidad de Salamanca, 37008 Salamanca, Spain

  • *Present address: Department of Complex Systems Science, Graduate School of Information Science, Nagoya University, Nagoya 464-8601, Japan.

Phys. Rev. E 91, 052140 – Published 26 May, 2015

DOI: https://doi.org/10.1103/PhysRevE.91.052140

Abstract

We present results obtained by using nonlinear irreversible models for heat devices. In particular, we focus on the global performance characteristics, the maximum efficiency and the efficiency at maximum power regimes for heat engines, and the maximum coefficient of performance (COP) and the COP at maximum cooling power regimes for refrigerators. We analyze the key role played by the interplay between irreversibilities coming from heat leaks and internal dissipations. We also discuss the relationship between these results and those obtained by different models.

Article Text

References (58)

  1. A. Bejan, J. Appl. Phys. 79, 1191 (1996).
  2. L. Chen, C. Wu, and F. Sun, J. Non-Equil. Therm. 24, 327 (1999).
  3. R. S. Berry, V. A. Kazakov, S. Sieniutycz, Z. Szwast, and A. M. Tsirlin, Thermodynamics optimization of Finite-Time Processes (Wiley, Chichester, 2000).
  4. C. Wu, L. Chen, and J. Chen, Advances in Finite-Time Thermodynamics: Analysis and Optimization (Nova Science, New York, 2004).
  5. A. Durmayaz, O. S. Sogut, B. Sahin, and H. Yavuz, Prog. Energy Combust. Sci. 30, 175 (2004).
  6. J. Chen, Z. Yan, G. Lin, and B. Andresen, Energy Conversion and Management 42, 173 (2001).
  7. J. González-Ayala, L. A. Arias-Hernández, and F. Angulo-Brown, Phys. Rev. E 88, 052142 (2013).
  8. J. M. Gordon and K. C. NG, Cool Thermodynamics (Cambridge International Science, Cambridge, 2000).
  9. L. Chen, F. Sun, C. Wu, and R. L. Kiang, Appl. Therm. Eng. 17, 401 (1997).
  10. F. Curzon and B. Ahlborn, Am. J. Phys. 43, 22 (1975).
  11. M. Esposito, R. Kawai, K. Lindenberg, and C. Van den Broeck, Phys. Rev. Lett. 105, 150603 (2010).
  12. Y. Wang, M. Li, Z. C. Tu, A. Calvo Hernández, and J. M. M. Roco, Phys. Rev. E 86, 011127 (2012).
  13. C. de Tomás, A. Calvo Hernández, and J. M. M. Roco, Phys. Rev. E 85, 010104(R) (2012).
  14. Y. Hu, F. Wu, Y. Ma, J. He, J. Wang, A. Calvo Hernández, and J. M. M. Roco, Phys. Rev. E 88, 062115 (2013).
  15. Z. Yan and J. Chen, J. Phys. D 23, 136 (1990).
  16. S. Velasco, J. M. M. Roco, A. Medina, and A. Calvo Hernández, Appl. Phys. Lett. 71, 1130 (1997); Phys. Rev. Lett. 78, 3241 (1997).
  17. A. E. Allahverdyan, K. Hovhannisyan, and G. Mahler, Phys. Rev. E 81, 051129 (2010).
  18. Y. Apertet, H. Ouerdane, A. Michot, C. Goupil, and Ph. Lecoeur, Europhys. Lett. 103, 40001 (2013).
  19. C. Van den Broeck, Phys. Rev. Lett. 95, 190602 (2005).
  20. Y. Izumida and K. Okuda, Phys. Rev. E 80, 021121 (2009); Eur. Phys. J. B 77, 499 (2010).
  21. L. A. Arias-Hernández, F. Angulo-Brown, and R. T. Páez-Hernández, Phys. Rev. E 77, 011123 (2008).
  22. Y. Apertet, H. Ouerdane, C. Goupil, and Ph. Lecoeur, Phys. Rev. E 88, 022137 (2013).
  23. B. Jiménez de Cisneros, L. A. Arias-Hernández, and A. Calvo Hernández, Phys. Rev. E 73, 057103 (2006).
  24. B. Jiménez de Cisneros and A. Calvo Hernández, Phys. Rev. E 77, 041127 (2008); Phys. Rev. Lett. 98, 130602 (2007).
  25. S. Sheng and Z. C. Tu, J. Phys. A: Math. Theor. 46, 402001 (2013).
  26. Y. Izumida and K. Okuda, Phys. Rev. Lett. 112, 180603 (2014).
  27. Y. Izumida and K. Okuda, Europhys. Lett. 97, 10004 (2012).
  28. Y. Izumida, K. Okuda, A. Calvo Hernández, and J. M. M. Roco, Europhys. Lett. 101, 10005 (2013).
  29. J. Hoppenau, M. Niemann, and A. Engel, Phys. Rev. E 87, 062127 (2013).
  30. H. Callen, Thermodynamics and an Introduction to Thermostatistics (Wiley, New York, 1985), 2nd ed.
  31. T. Schmiedl and U. Seifert, Europhys. Lett. 83, 30005 (2008); Phys. Rev. Lett. 98, 108301 (2007).
  32. Y. Apertet, H. Ouerdane, C. Goupil, and Ph. Lecoeur, Phys. Rev. E 85, 031116 (2012); 85, 041144 (2012).
  33. Y. Apertet, H. Ouerdane, O. Glavatskaya, C. Goupil, and Ph. Lecoeur, Europhys. Lett. 97, 28001 (2012).
  34. We have confirmed the monotonicity numerically, though we have not analytically.
  35. Y. Wang and Z. C. Tu, Europhys. Lett. 98, 40001 (2012); Phys. Rev. E 85, 011127 (2012); Commun. Theor. Phys. 59, 175 (2013).
  36. J. Wang and J. He, Phys. Rev. E 86, 051112 (2012).
  37. J. P. S. Bizarro and P. Rodrigues, Phys. Rev. E 86, 051109 (2012).
  38. Y. Izumida and N. Ito, Eur. Phys. J. B 86, 431 (2013).
  39. J. Guo, J. Wang, Y. Wang, and J. Chen, Phys. Rev. E 87, 012133 (2013).
  40. C. Van den Broeck, Europhys. Lett. 101, 10006 (2013).
  41. N. Sánchez-Salas, L. López-Palacios, S. Velasco, and A. Calvo Hernández, Phys. Rev. E 82, 051101 (2010).
  42. M. Asfaw and M. Bekele, Eur. Phys. J. B. 38, 457 (2004).
  43. Z. C. Tu, J. Phys. A: Math. Theor. 41, 312003 (2008).
  44. B. Gaveau, M. Moreau, and L. S. Schulman, Phys. Rev. Lett. 105, 060601 (2010).
  45. Z. C. Tu, Chin. Phys. B 21, 020513 (2012).
  46. U. Seifert, Phys. Rev. Lett. 106, 020601 (2011); Rep. Prog. Phys. 75, 126001 (2012).
  47. C. Van den Broeck, N. Kumar, and K. Lindenberg, Phys. Rev. Lett. 108, 210602 (2012).
  48. X. G. Luo, N. Liu, and J. Z. He, Phys. Rev. E 87, 022139 (2013).
  49. M. Esposito, K. Lindenberg, and C. Van den Broeck, Europhys. Lett. 85, 60010 (2009); Phys. Rev. Lett. 102, 130602 (2009).
  50. J. Wang, J. He, and Z. Wu, Phys. Rev. E 85, 031145 (2012).
  51. H. Yan and H. Guo, Phys. Rev. E 86, 051135 (2012).
  52. F. Borga, M. Bekele, Y. B. Tatek, and M. Tsige, Phys. Rev. E 86, 032106 (2012).
  53. R. Wang, J. Wang, J. He, and Y. Ma, Phys. Rev. E 87, 042119 (2013).
  54. J. Guo, J. Wang, Y. Wang, and J. Chen, J. Appl. Phys. 113, 143510 (2013).
  55. A. E. Allahverdyan, K. V. Hovhannisyan, A. V. Melkikh, and S. G. Gevorkian, Phys. Rev. Lett. 111, 050601 (2013).
  56. C. de Tomas, J. M. M. Roco, A. Calvo Hernández, Y. Wang, and Z. C. Tu, Phys. Rev. E 87, 012105 (2013).
  57. S. Sheng and Z. C. Tu, Phys. Rev. E 89, 012129 (2014).
  58. J. P. S. Bizarro, Am. J. Phys. 80, 298 (2012).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation