Global Stability Analysis of a Curzon–Ahlborn Heat Engine under Different Regimes of Performance

Autor: Israel Reyes-Ramírez, Marco A. Barranco-Jiménez, Adolfo Rojas-Pacheco, Lev Guzmán-Vargas
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Entropy, Vol 16, Iss 11, Pp 5796-5809 (2014)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e16115796
Popis: We present a global stability analysis of a Curzon–Ahlborn heat engine considering different regimes of performance. The stability theory is used to construct the Lyapunov functions to prove the asymptotic stability behavior around the steady state of internal temperatures. We provide a general analytic procedure for the description of the global stability by considering internal irreversibilities and a linear heat transfer law at the thermal couplings. The conditions of the global stability are explored for three regimes of performance: maximum power (MP), efficient power (EP) and the so-called ecological function (EF). Moreover, the analytical results were corroborated by means of numerical integrations, which fully validate the properties of the global asymptotic stability.
Databáze: Directory of Open Access Journals