SciELO - Scientific Electronic Library Online

 
vol.60 número5Changes of representation and general boundary conditions for Dirac operators in 1+1 dimensions índice de autoresíndice de materiabúsqueda de artículos
Home Pagelista alfabética de revistas  

Servicios Personalizados

Revista

Articulo

Indicadores

Links relacionados

  • No hay artículos similaresSimilares en SciELO

Compartir


Revista mexicana de física

versión impresa ISSN 0035-001X

Rev. mex. fis. vol.60 no.5 México sep./oct. 2014

 

Revisión

 

Heat engines and the Curzon-Ahlborn efficiency

 

A. Calvo Hernándezα, J.M.M. Rocoα, A. Medinaα, and N. Sánchez-Salasb

 

α Departamento de Física Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain.

b Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edif. No. 9, U P. Zacatenco, 07738, México, D. F, México.

 

Received 20 March 2014;
Accepted 20 August 2014

 

Abstract

The so-called Curzon-Ahlborn efficiency is becoming a paradigmatic result with regards to thermodynamic optimization of power cycles. Its wide applicability and sole dependence on the external heat bath temperatures (as the Carnot efficiency does) allows for an easy and fairly comparison with experimental efficiencies of striking validity. Different analytical derivations are presented in order to assess its validity and limitations for a broad variety of thermal cycles and steady state systems based on Finite-Time, Linear-Irreversible and Equilibrium Thermodynamic frameworks. Some conclusions and future perspectives are also outlined.

Keywords: Thermodynamics; heat engines; optimization; Curzon-Ahlborn efficiency.

 

PACS: 05.70.Ln; 05.70.-a; 88.05.De

 

DESCARGAR ARTÍCULO EN FORMATO PDF

 

Acknowledgments

We acknowledge F. Angulo-Brown for careful reading of the manuscript and useful comments. We acknowledge CONACYT, EDI-IPN, COFAA-IPN, and Ministerio de Economía y Competitividad of Spain under Grant ENE2013-40644R.

 

References

1. M. Z. Zemansky y R. H. Dittman, Heat and Thermodynamics, 6nd ed. (McGraw-Hill, New York, 1981).         [ Links ]

2. F. L. Curzon and B. Ahlborn, Am. J. Phys. 43 (1975) 22.         [ Links ]

3. P. Chambadal, Les Centrales Nucleaires (Armand Colin, Paris, 1957)        [ Links ]

4. I.I. Novikov, J. Nucl. Energy II 7 (1958) 125.         [ Links ]

5. A. De Vos, Am. J. Phys. 53 (1985) 570.         [ Links ]

6. A. De Vos, Thermodynamics of Solar Energy Conversion (Wiley-VCH, Berlin, 2008)        [ Links ]

7. S. Sieniutycz and P. Salamon (eds.), Finite-time thermodynamics and thermoeconomics, (Taylor and Francis, New York, 1990).         [ Links ]

8. C. Wu, L. Chen, and J. Chen Advances in Finite-Time Thermodynamics: Analysis and Optimization (Nova Science, New York, 2004).         [ Links ]

9. H. B. Callen, Thermodynamics and An Introduction to Thermostatics (J. Wiley and Sons, New York, 1985).         [ Links ]

10. A. Bejan, Advance Engineering Thermodynamics, third edition (J. Wiley and Sons, Hoboken, 2006). Chapter 12.         [ Links ]

11. L.A. Arias-Hernández and F. Angulo-Brown, Rev. Mex. Fis.. 40 (1994) 866.         [ Links ]

12. D. P. Sekulic, J. Appl. Phys. 83 (1998) 4561.         [ Links ]

13. B. Andresen, J. Appl. Phys. 90 (2001) 6557.         [ Links ]

14. E. P. Gyptopoulos, Ener. Conv. Manag. 43 (2002) 609.         [ Links ]

15. J. Chen, Z. Yan, G. Lin, and B: Andresen, Ener. Conv. Manag. 42 (2001) 173.         [ Links ]

16. N. Sánchez-Salas, S. Velasco, and A. Calvo Hernández, Ener. Conv. Manag. 43 (2002) 2341.         [ Links ]

17. C. Van den Broeck, Phys. Rev. Lett. 95 (2005) 190602.         [ Links ]

18. B. Jiménez de Cisneros, and A. Calvo Hernández, Phys. Rev. Lett. 98 (2007) 10602.         [ Links ]

19. B. Jiménez de Cisneros, and A. Calvo Hernández, Phys. Rev. E 77 (2008) 041127.         [ Links ]

20. M. Esposito, R. Kawai, K. Lindenberg, and C. Van den Broeck, Phys. Rev. Lett. 105 (2010) 150603.         [ Links ]

21. U. Seifert, Rep. Prog. Phys. 75 (2012) 126001.         [ Links ]

22. H. S. Leff, Am. J. Phys. 55 (1987) 602.         [ Links ]

23. P. T. Landsber and H. S. Leff, J. Phys. A: Math. Gen. 22 (1987) 4019.         [ Links ]

24. F. Angulo-Brown, N. Sánchez-Salas and G. Ares de Parga, Lat. Am. J. Phys. Educ. 4 (2010) 212.         [ Links ]

25. N. Sánchez-Salas, L. López-Palacios, S. Velasco, and A. Calvo Hernández, Phys. Rev. E 82 (2010) 051101.         [ Links ]

26. J. Wang and J. He, Phys. Rev. E 87 (2012) 042119.         [ Links ]

27. T. Schmiedl y U. Seifert, Europhys. Lett. 81 (2008) 20003.         [ Links ]

28. Z. C. Tu, J. Phys. A: Math. Theor. 41 (2008) 312003.         [ Links ]

29. M. Esposito, K. Lindenberg, and Van den Broeck, EPL 85 (2009) 60010.         [ Links ]

30. J. Guo, J. Wang, Y. Wang, and J. Chen, J. Appl. Phys. 113 (2013) 143510.         [ Links ]

31. R. Wang, J. Wang, J. He, and Y. Ma, Phys. Rev. E 86 (2012) 051112.         [ Links ]

32. M. Esposito, K. Lindenberg, and C. Van den Broeck, Phys. Rev. Lett. 102 (2009) 130602.         [ Links ]

33. Z. C. Tu, Chin. Phys. B 21 (2012) 020513.         [ Links ]

34. C. Van den Broeck, EPL 101 (2013) 10006.         [ Links ]

35. J. Guo, J. Wang, Y. Wang, and J. Chen, Phys. Rev. E. 87 (2013) 012133.         [ Links ]

36. Y. Wang and Z. C. Tu, EPL 98 (2012) 40001.         [ Links ]

37. Y. Izumida and K. Okuda, EPL 97 (2012) 10004.         [ Links ]

38. Y. Apertet, H. Ouerdane, C. Goupil, and Ph. Lecoeur, Phys. Rev. E. 85 (2012) 041144; Phys. Rev. E. 85 (2012) 031116.         [ Links ]

39. Y. Apertet, H. Ouerdane, C. Goupil, P. Lecoeur, Phys. Rev. E. 88 (2013) 022137.         [ Links ]

40. S. Sheng and Z. C. Tu, J. Phys. A: Math. Theor. 46 (2013) 402001.         [ Links ]

41. S. Sheng and Z. C. Tu, Phys. Rev. E 89 (2014) 012129.         [ Links ]

42. J. González-Ayala, L.A. Arias-Hernández, and F. Angulo-Brown, Phys. Rev. E. 88 (2013) 052142.         [ Links ]

43. F. Angulo-Brown, J. González-Ayala, and L.A. Arias-Hernández, Phys. Rev. E. 89 (2014) 022134.         [ Links ]

44. C. de Tomás, A. Calvo Hernández, and J. M. M. Roco, Phys. Rev. E 85 (2012) 010104(R); S. Velasco, J. M. Roco, A. Medina, and A. Calvo Hernández, Appl. Phys. Lett. 71 (1997) 1130.         [ Links ]

45. Y. Wang, M. Li, Z. C. Tu, A. Calvo Hernández, and J. M. M. Roco, Phys. Rev. E 86 (2012) 011127.         [ Links ]

46. Y. Apertet, H. Ouerdane, A. Michot, C. Goupil and Ph. Lecoeur, EPL 103 (2013) 40001.         [ Links ]

47. Y. Izumida, K. Okuda, A. Calvo Hernández, and J. M. M. Roco, EPL 101 (2013) 10005.         [ Links ]

Creative Commons License Todo el contenido de esta revista, excepto dónde está identificado, está bajo una Licencia Creative Commons