Eur. Phys. J. B (2017) 90: 86
https://doi.org/10.1140/epjb/e2017-80001-4

Regular Article

A graphic approach to include dissipative-like effects in reversible thermal cycles

¹ Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edif. No. 9, U.P. Zacatenco, 07738 México D.F., México
² Departamento de Física Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain

^a e-mail: jgonzalezayala@usal.es

Received: 2 January 2017
Received in final form: 7 February 2017
Published online: 4 May 2017

Abstract

Since the decade of 1980’s, a connection between a family of maximum-work reversible thermal cycles and maximum-power finite-time endoreversible cycles has been established. The endoreversible cycles produce entropy at their couplings with the external heat baths. Thus, this kind of cycles can be optimized under criteria of merit that involve entropy production terms. Meanwhile the relation between the concept of work and power is quite direct, apparently, the finite-time objective functions involving entropy production have not reversible counterparts. In the present paper we show that it is also possible to establish a connection between irreversible cycle models and reversible ones by means of the concept of “geometric dissipation”, which has to do with the equivalent role of a deficit of areas between some reversible cycles and the Carnot cycle and actual dissipative terms in a Curzon-Ahlborn engine.