Optimal performance of an endoreversible three-mass-reservoir chemical pump with diffusive mass transfer law
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ished a model of a generalized irreversible isothermal chemical engine with irreversibility of mass transfer, mass leakage and internal loss, and derived the optimal relation between the power output and the first law efficiency of the irreversible isothermal chemical engine. Tsirlin et al. also derived the minimum entropy generation rate and the maximum power output of a class of isothermal endoreversible chemical engines. The inverse cycle of a heat engine is a heat pump cycle or a refrigerator cycle. Similarly, the inverse cycle of a chemical engine is a chemical pump cycle. Lin and Chen studied the performance of the endoreversible and irreversible two-reservoir chemical pump with the irreversibility of mass transfer and the mass leakage. Lin et al. studied the performance of the irreversible two-mass-reservoir chemical pump with the irreversibility of mass transfer, mass leakage and internal irreversibility. Lin et al. established a three-mass-reservoir chemical pump model considering the effects of mass transfer irreversibility, and studied its performance with linear mass transfer law. Wu et al. studied the performance of a three-mass-reservoir chemical pump with the irreversibility of mass transfer and mass leakage.
In the analysis and optimization mentioned above, the mass transfer between the mass reservoirs and the chemical engine or chemical pump is always assumed to be obeying linear mass exchange law, i. e DN / Dl, where DN is the exchanged mass and Dl is the chemical potential difference. However, chemical converters that are governed by diffusive mass transfer are inherently more efficient than those that governed by linear mass transfer. So it is necessary to investigate the performance of chemical converters which obey the more general and practical mass transfer law: the diffusive mass transfer law.
The purpose of this paper is to explore the performance of an endoreversible three-mass-reservoir chemical pump by assuming that the mass transfer between the cyclic working medium and the mass reservoirs obeys nonlinear law which is more general and practical, i. e. the diffusive mass transfer law DN / D(l/kT), where k is Boltzmann’s constant and T is temperature. The rate of energy pumping versus the coefficient of performance (COP) characteristic is obtained by numerical calculations.
2. chemical pump model
The schematic diagram of an endoreversible chemical pump operated among three mass-reservoirs is shown in Fig. 1. In the fig