Ecological Optimization for an Endoreversible Chemical Pump With Three Mass Reservoirs

Abstract

This paper firstly educes an energy-based ecological function (EF) which is a compromise between energy pumping rate (EPR) and dissipation of EPR for an endoreversible chemical pump (CP) cycle. By solving the equations of Euler Lagrange, the fundamental optimization relationships of the EF and coefficient of performance (COP) for the CP cycles with linear mass transfer (MT) law and diffusive MT law are derived. The numerical calculations to analyze the influences of the cycle parameters on the relationship between the EF and COP are provided, and the influence of two different MT laws on the EF and COP characteristic is discussed in detail. The maximum EF of the cycle with the linear MT law is bigger than that with the diffusive MT law. The results obtained in this paper can be applied to design a class of devices, such as photochemical, electrochemical and solid-state apparatus as well as mass exchangers, etc.