Local Stability Analysis of a Curzon-Ahlborn Engine without Ideal Gas Working at the Maximum Ecological Regime
Local Stability Analysis of a Curzon-Ahlborn Engine without Ideal Gas Working at the Maximum Ecological Regime作者机构：Irreversible Processes Physics Research Group Basic Sciences Department Metropolitan Autonomous University CampusAzcapotzalco Distrito Federal 02200 Mdxico Basic Sciences Department Metropolitan Autonomous University Campus Azcapotzalco Distrito Federal 02200 M~xico Information Technology School of the National Polytechnic Institute Distrito Federal 07738 Mexico
出 版 物：《Journal of Energy and Power Engineering》 (能源与动力工程（美国大卫英文）)
年 卷 期：2013年第7卷第5期
页 面：928-936页
学科分类：080701[工学-工程热物理] 080703[工学-动力机械及工程] 08[工学] 0807[工学-动力工程及工程热物理]
主 题：Ecological regime dynamics Van der Waals equation stability steady state.
摘 要：In this work, the stability of an endoreversible Curzon-Ahlbom engine is analyzed, using Van der Waals gas as a working substance and the corresponding efficiency for this engine working at temperatures withinthe maximum ecological regime. By mean s of a local stability analysis we find that a critical point of an almost linear system is stable andanalytically expressed in eigenvalues. After an arbitrarily small perturbation, the system state exponentially decays to a critical point, with either of two characteristic relaxation times, which are a function of the thermal conductance （a）, heat capacity （C） and T=T2/T1. The behavior of relaxation times and solution of the systems are qualitatively shown by sketching its phase portrait, which results susceptible to operating regimes, i.e., the eigenvectors in the maximum ecological regime have a clockwise rotation with respect to the eigenvectors in the regime of maximumpower. Finally, it has to observe that afterto λvw = 1, approximation,ηVWE=4^-3ηC is obtained, where ηVWE is the Van der Waals efficiency atrnaximum ecological regime and r/c is Carnot＇s efficiency. Finally, it discussed the local stability and steady state of the energetic properties of the endoreversible engine.
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