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Xia D.,Naval University of Engineering | Chen L.,Naval University of Engineering | Sun F.,Naval University of Engineering
International Journal of Chemical Reactor Engineering | Year: 2011

An isothermal endoreversible four-reservoir chemical pump cycle operating between a finite potential capacity high-chemical-potential mass reservoir and three infinite potential capacity mass reservoirs is established in this paper. Optimal control theory is applied to determine the optimal cycle configuration corresponding to the maximum energy output per cycle for the fixed total cycle time and transferred energy of high-chemical-potential mass reservoir in which the mass transfer between working fluid and mass reservoirs obey linear mass transfer law. The optimal cycle configuration is an isothermal endoreversible four-reservoir chemical pump cycle, in which the chemical potential (the concentration) of the key component in the finite potential capacity high-chemical-potential mass reservoir and that in the working fluid change nonlinearly with time and the difference between the chemical potential (the ratio of the concentration) of the key component in the finite potential capacity mass reservoir and (to) that in the working fluid is a constant, and the chemical potentials (the concentration) of the key component in the working fluid at the infinite potential capacity mass reservoir sides are also constants. Moreover, the numerical example is provided to reveal the influences of concentration and chemical potential change of the finite potential capacity high-chemical-potential mass reservoir on the optimal configuration of the four-reservoir chemical pump cycle. Then, a unified description of various isothermal endoreversible chemical cycles with linear mass transfer law is obtained. They include ten type of isothermal endoreversible chemical cycles: four-reservoir chemical pumps with finite potential capacity mass reservoirs and infinite potential capacity mass reservoirs, four-reservoir chemical potential transformers with finite potential capacity mass reservoir and infinite potential capacity mass reservoirs, three- reservoir chemical pumps with finite potential capacity mass reservoirs and infinite potential capacity mass reservoirs, three-reservoir chemical potential transformers with finite potential capacity mass reservoir and infinite potential capacity mass reservoirs, two-reservoir chemical pump with infinite potential capacity mass reservoirs, and chemical engine with infinite potential capacity mass reservoirs. The results can provide some guidelines for optimal design and operation of real chemical cycles and devices. Copyright © 2011 De Gruyter. All rights reserved.


Chen L.,Naval University of Engineering | Ma K.,Naval University of Engineering | Sun F.,Naval University of Engineering
International Journal of Chemical Reactor Engineering | Year: 2012

A generalized radiative heat transfer law is introduced into an irreversible light-driven engine with a working fluid composed of the bimolecular reacting system [A]=[B], and the effects of heat transfer laws on the optimal paths of the engine are investigated in this paper. Piston paths for maximizing work output and minimizing entropy generation are determined for such an engine with ratedependent loss mechanisms of friction and heat leakage by applying the optimal control theory. Numerical examples for the optimal configurations with three special heat transfer laws (n=-1, n=1 and n=4) are provided, and the obtained results are compared with each other. The research on the optimal paths of a light-driven engine from Newton's heat transfer law to the generalized radiative heat transfer law enriches the finite time thermodynamics. The results presented herein can provide some guidelines for optimal design and operation of real light-driven engines. Copyright © 2012 De Gruyter. All rights reserved.

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