Abstract.
The trade-off criterion is used to systemically investigate the performance features of two chemical engine models (the low-dissipation model and the endoreversible model). The optimal efficiencies, the dissipation ratios, and the corresponding ratios of the dissipation rates for two models are analytically determined. Furthermore, the performance properties of two kinds of chemical engines are precisely compared and analyzed, and some interesting physics is revealed. Our investigations show that the certain universal equivalence between two models is within the framework of the linear irreversible thermodynamics, and their differences are rooted in the different physical contexts. Our results can contribute to a precise understanding of the general features of chemical engines.
Similar content being viewed by others
References
F. Curzon, B. Ahlborn, Am. J. Phys. 43, 22 (1975)
A. Vaudrey, F. Lanzetta, M. Feidt, J. Non-Equilib. Thermodyn. 39, 199 (2014)
B. Andresen, Angew. Chem. Int. Ed. 50, 2690 (2011)
H.S. Leff, Am. J. Phys. 55, 602 (1987)
V.A. Mironova, A.M. Tsirlin, V.A. Kazakov, R.S. Berry, J. Appl. Phys. 76, 629 (1994)
R.S. Berry, V.A. Kazakov, S. Sieniutycz, Z. Szwast, A.M. Tsirlin, Thermodynamics optimization of Finite-Time Processes (Wiley, Chichester, 2000)
C. Van den Broeck, Phys. Rev. Lett. 95, 190602 (2005)
A. De Vos, J. Phys. Chem. 95, 4534 (1991)
J.M. Gordon, J. Appl. Phys. 73, 8 (1993)
L. Chen, F. Sun, C. Wu, J. Phys. D 31, 1595 (1998)
M.J. Ondrechen, R.S. Berry, B. Andresena, J. Chem. Phys. 72, 5118 (1980)
G. Lin, J. Chen, E. Bruückb, Appl. Energy 78, 123 (2004)
J.M. Gordon, V.N. Orlov, J. Appl. Phys. 74, 5303 (1993)
J. Guo, Y. Wang, J.C. Chen, J. Appl. Phys. 112, 103504 (2012)
H. Hooyberghs, B. Cleuren, A. Salazar, J.O. Indekeu, C. Van den Broeck, J. Chem. Phys. 139, 134111 (2013)
J. Guo, J. Wang, Y. Wang, J.C. Chen, Phys. Rev. E 87, 012133 (2013)
M. Esposito, R. Kawai, K. Lindenberg, C. Van den Broeck, Phys. Rev. Lett. 105, 150603 (2010)
C. de Tomás, A.C. Hernández, J.M.M. Roco, Phys. Rev. E 85, 010104(R) (2012)
F. Angulo-Brown, J. Appl. Phys. 69, 7465 (1991)
A.C. Hernández, A. Medina, J.M.M. Roco, J.A. White, S. Velasco, Phys. Rev. E 63, 037102 (2001)
N. Sánchez-Salas, L. López-Palacios, S. Velasco, A.C. Hernández, Phys. Rev. E 82, 051101 (2010)
C. de Tomás, J.M.M. Roco, A.C. Hernández, Y. Wang, Z.C. Tu, Phys. Rev. E 87, 012105 (2013)
A.C. Hernández, A. Medina, J.M.M. Roco, New. J. Phys. 17, 075011 (2015)
D. Xia, L.G. Chen, F.R. Sun, J. Energy Inst. 83, 151 (2010)
S. Sieniutycz, Int. J. Heat Mass Transfer 51, 5859 (2008)
N. Sanchez-Salas, J.C. Chimal-Eguia, M.A. Ramirez-Morenoa, Physica A 446, 224 (2016)
C. Van den Broeck, EPL 101, 10006 (2013)
M.A. Barranco, A. Ocampo, J.C. Pacheco, F. Angulo, J. Phys.: Conf. Ser. 792, 012097 (2017)
A. Ocampo-Garcia, M.A. Barranco-Jiménez, F. Angulo-Brown, Physica A 488, 149 (2017)
J. Gonzalez-Ayala, A.C. Hernandez, J.M.M. Roco, J. Stat. Mech. 2016, 073202 (2016)
R.S. Johal, Phys. Rev. E 96, 012151 (2017)
J. Gonzalez-Ayala, J.M.M. Roco, A. Medina, A.C. Hernández, Entropy 19, 182 (2017)
J. Gonzalez-Ayala, J.M.M. Roco, A. Medina, A.C. Hernández, Phys. Rev. E 97, 022139 (2018)
R. Long, W. Liu, Phys. Rev. E 89, 062119 (2014)
Y. Zhang, C. Huang, G. Lin, J. Chen, Phys. Rev. E 93, 032152 (2016)
J. Gonzalez-Ayala, A.C. Hernández, J.M.M. Roco, Phys. Rev. E 95, 022131 (2017)
R. Long, W. Liu, Phys. Rev. E 91, 042127 (2015)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tang, F.R., Zhang, R., Li, H. et al. Understanding performance properties of chemical engines under a trade-off optimization: Low-dissipation versus endoreversible model. Eur. Phys. J. Plus 133, 176 (2018). https://doi.org/10.1140/epjp/i2018-12003-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2018-12003-5