@inproceedings{10e651a206ac4d728a6671b6991108e0,
title = "Local stability analysis of an endoreversible engine for common heat transfer laws",
abstract = "We present a study of the local stability of a Curzon-Ahlborn engine, by considering small perturbations around the internal temperatures and evaluate the relaxation times to the steady-state. We study two heat transfer laws for different heat conductivities in the couplings of the working fluid and the thermal sources. By using linear stability analysis, we find that the system is stable for the two laws considered here, that is, any small perturbation around the fixed points (steady state) decays exponentially after certain time. We explicitly calculate the relaxation time expressions and the corresponding eigenvectors. The relaxation times and the eigenvectors are shown to be function of the thermal conductivities, the heat capacity and the temperatures of the thermal sources. Qualitative phase space portraits are constructed for some representative situations.",
keywords = "Endoreversibility, Heat engines, Local stability",
author = "Ram{\'i}rez, {Israel Reyes} and Vargas, {Lev Guzm{\'a}n}",
year = "2006",
language = "Ingl{\'e}s",
series = "ECOS 2006 - Proceedings of the 19th International Conference on Efficiency, Cost, Optimization, Simulation and Environmental Impact of Energy Systems",
publisher = "National Technical University of Athens",
pages = "975--980",
editor = "Frangopoulos, {Christos A.} and Rakopoulos, {Constantine D.} and George Tsatsaronis",
booktitle = "ECOS 2006 - Proceedings of the 19th International Conference on Efficiency, Cost, Optimization, Simulation and Environmental Impact of Energy Systems",
note = "19th International Conference on Efficiency, Cost, Optimization, Simulation and Environmental Impact of Energy Systems, ECOS 2006 ; Conference date: 12-07-2006 Through 14-07-2006",
}