TY - JOUR
T1 - The role of the Stefan-Boltzmann law in the thermodynamic optimization of an n-Müser engine
AU - Ramírez-Moreno, M. A.
AU - González-Hernández, S.
AU - Angulo-Brown, F.
N1 - Publisher Copyright:
© 2015 Elsevier B.V.
PY - 2016/2/15
Y1 - 2016/2/15
N2 - A Müser-type engine model can be taken as a particular case of a Curzon-Ahlborn thermal cycle, when the upper thermal conductance is finite and the lower one is infinite. In addition, the upper heat exchange is given by the Stefan-Boltzmann law. That model is suitable to thermodynamically describe some aspects of energy converters as solar cells and photosynthetic systems. In the present article, we call n-Müser engine to an engine of the Müser type in which the T4 heat transfer law is substituted by a Tn-law, being n>0 a real number. Here, we show that if we use the so-called ecological criterion of merit to optimize finite-time heat engines to compare the thermodynamic performance of the n-Müser engines under approximate terrestrial conditions (see below), we obtain that n=4 accomplishes the best performance. This same result was obtained by using data from the rest of planets of the solar system.
AB - A Müser-type engine model can be taken as a particular case of a Curzon-Ahlborn thermal cycle, when the upper thermal conductance is finite and the lower one is infinite. In addition, the upper heat exchange is given by the Stefan-Boltzmann law. That model is suitable to thermodynamically describe some aspects of energy converters as solar cells and photosynthetic systems. In the present article, we call n-Müser engine to an engine of the Müser type in which the T4 heat transfer law is substituted by a Tn-law, being n>0 a real number. Here, we show that if we use the so-called ecological criterion of merit to optimize finite-time heat engines to compare the thermodynamic performance of the n-Müser engines under approximate terrestrial conditions (see below), we obtain that n=4 accomplishes the best performance. This same result was obtained by using data from the rest of planets of the solar system.
KW - Blackbody radiation
KW - Curzon-Ahlborn engine
KW - Heat transfer law
KW - Müser engine
UR - http://www.scopus.com/inward/record.url?scp=84946935409&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2015.10.094
DO - 10.1016/j.physa.2015.10.094
M3 - Artículo
SN - 0378-4371
VL - 444
SP - 914
EP - 921
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
ER -