Global stability analysis of a Curzon–Ahlborn heat engine using the Lyapunov method

Israel Reyes-Ramírez, Marco A. Barranco-Jiménez, A. Rojas-Pacheco and Lev Guzmán-Vargas

Physica A: Statistical Mechanics and its Applications, 2014, vol. 399, issue C, 98-105

Abstract: In the present work, we analyze the global stability of a heat engine working at maximum power regime. We use the Lyapunov stability theory to construct the Lyapunov function to prove the asymptotic stability behavior about the steady-state of intermediate temperatures in the engine model. Our analysis is focused on the characterization of the global stability by considering internal irreversibilities and a linear heat transfer law in the thermal couplings. Besides, numerical integrations were performed to corroborate the findings of the global asymptotic stability of the system.

Keywords: Heat engine; Global stability analysis; Thermodynamics (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:399:y:2014:i:c:p:98-105

DOI: 10.1016/j.physa.2013.12.044

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