TY - JOUR
T1 - Local stability of an endoreversible heat engine working in an ecological regime
AU - Chimal-Eguía, J. C.
AU - Reyes-Ramírez, I.
AU - Guzmán-Vargas, L.
N1 - Funding Information:
This work was supported in part by COFAA-IPN, EDI-IPN and CONACYT, México. We thank F. Angulo-Brown, R. Hernández-Pérez and L. Arias-Hernández for fruitful discussions and suggestions.
PY - 2007/12
Y1 - 2007/12
N2 - We present a local stability analysis of an endoreversible engine working in an ecological regime, for three common heat transfer laws. From our local stability analysis we conclude that the system is stable for every value of the heat conductivity g, the heat capacity C and the ratio of temperatures τ = T2/T1 with T 1 > T 2. After a small perturbation the system decays exponentially to the steady state determined by two different relaxation times. We observe that the stability of the system improves as τ increases whereas the steady-state energetic properties of the engine decline. Moreover, we compare the stability properties of the engine working in the ecological regime and under maximum power output. Finally, qualitative phase-space portraits for the evolution of the system are presented for representative cases.
AB - We present a local stability analysis of an endoreversible engine working in an ecological regime, for three common heat transfer laws. From our local stability analysis we conclude that the system is stable for every value of the heat conductivity g, the heat capacity C and the ratio of temperatures τ = T2/T1 with T 1 > T 2. After a small perturbation the system decays exponentially to the steady state determined by two different relaxation times. We observe that the stability of the system improves as τ increases whereas the steady-state energetic properties of the engine decline. Moreover, we compare the stability properties of the engine working in the ecological regime and under maximum power output. Finally, qualitative phase-space portraits for the evolution of the system are presented for representative cases.
UR - http://www.scopus.com/inward/record.url?scp=37149037372&partnerID=8YFLogxK
U2 - 10.1007/s11080-007-9065-z
DO - 10.1007/s11080-007-9065-z
M3 - Artículo
SN - 1230-1612
VL - 14
SP - 411
EP - 424
JO - Open Systems and Information Dynamics
JF - Open Systems and Information Dynamics
IS - 4
ER -