Abstract
In this work, we analyze a nonendoreversible thermal engine model with a nonlinear heat transfer law between the heat reservoirs and the working fluid under two optimization criteria: the maximum power regime and the so-called ecological criterion. We find that this nonendoreversible model has a similar behaviour to that shown by De Vos (Am. J. Phys. 53, 570 (1985)) for endoreversible models with two thermal conductances with only one superior conductance and with only one inferior conductance, respectively. The model is compared with two sets of real power plants, the first one containing power plants of old design (before 1960's) and the second one being formed by modern nuclear power plants. Our results suggest that the first group was designed under conditions which, are reminiscent of a maximum power regime and the second one under an ecological-like criterion. We also study some general properties of nonendoreversible thermal engine models.
Similar content being viewed by others
Bibliography
D. Gutkowitcz, I. Procaccia, and J. Ross, On the efficiency of rate processes: Power and efficiency of heat engines, J. Chem. Phys. 69, 3898 (1978).
L. A. Arias-Hernández and F. Angulo-Brown, Thermodynamic Optimization of endoreversible engines, Rev. Mex. Fís. 40, 866 (1994).
A. de Vos, Efficiency of some heat engines at maximum power conditions, Am. J. Phys. 53, 570 (1985).
L. Chen and Z. Yan, The effect of heat transfer law on the performance of two-heat-source endoreversible cycle, J. Chem. Phys. 90, 3740 (1989).
F. Angulo-Brown and R. Páez-Hernández, Endoreversible thermal cycle with a nonlinear heat transfer law, J. Appl. Phys. 74, 2216 (1993).
G. de Mey and A. de Vos, On the optimum efficiency of endoreversible thermodynamic processes, J. Phys. D: Appl. Phys. 27, 736 (1994).
M. Rubin, Optimal configuration of a class of irreversible heat engines I, Phys. Rev. A 19, 1272 (1979).
S. Özkaynak, S. Göktun, and H. Yavuz, Finite-time thermodynamics analysis of a radiative heat engine with internal irreversibility, J. Phys. D: Appl. Phys. 27, 1139 (1994).
J. Chen, The maximum power output and maximum efficiency of an irreversible Carnot heat engine, J. Phys. D: Appl. Phys. 27, 1144 (1994).
L. A. Arias-Hernández and F. Angulo-Brown, A general property of endoreversible thermal engines, J. Appl. Phys. 81, 2973 (1997).
M. Tribus, Thermostatics and Thermodynamics, D. Van Nostrand, Princeton, 1961.
F. Angulo-Brown, An ecological optimization criterion for finite-time heat engines, J. Appl. Phys. 69, 7465 (1991).
F. Angulo-Brown and L. A. Arias-Hernández, Reply to “Coment on ‘A general property of endoreversible thermal engines’” [J. Appl. Phys. 89, 1518 (2001)], J. Appl. Phys. 89, 1520 (2001).
M. Santillán, G. Maya, and F. Angulo-Brown, Local stability analysis of an endoreversible Curzon-Ahlborn-Novikov engine working in a maximum-power-like regime, J. Phys. D: Appl. Phys. 34, 2068 (2001).
A. de Vos, Endoreversible Thermodynamics of Solar Energy Conversion, Oxford University Press, Oxford, 1992.
A. Bejan, Advanced Engineering Thermodynamics, Wiley, New York, 1988.
S. Velasco, J. M. M. Roco, A. Medina, J. A. White, and A. Calvo, Optimization of heat engines inlcuding the saving of natural resources and the reduction of thermal polution, J. Phys. D: Appl. Phys. 33, 355 (2000).
www.johnstonsarchive.net/environment/nuclearplants.html
C. T. O'Sullivan, Newton law of cooling-critical assesement, Am. J. Phys 58, 956 (1990).
F. Angulo-Brown, M. Santillán, and E. Calleja-Quevedo, Thermodynamic optimality in some biochemical reactions, Il Nuovo Cimento D 17, 87 (1995).
M. Santillán, L. A. Arias-Hernández, and F. Angulo-Brown, Some optimization criteria for bilogical systems in linear irreversible thermodynamics, Il Nuovo Cimento D 19, 99 (1997).
A. de Vos, Reflections on the power delivered by endoreversible engines, J. Phys. D: Appl. Phys. 20, 232 (1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Arias-Hernández, L.A., de Parga, G.A. & Angulo-Brown, F. On Some Nonendoreversible Engine Models with Nonlinear Heat Transfer Laws. Open Systems & Information Dynamics 10, 351–375 (2003). https://doi.org/10.1023/B:OPSY.0000009556.27759.11
Issue Date:
DOI: https://doi.org/10.1023/B:OPSY.0000009556.27759.11