Dynamic performance limits for a class of multistage chemical power consumption system

Abstract

A multistage isothermal endoreversible chemical pump system with a finite potential capacity high chemical potential mass reservoir and the linear mass transfer law (g∝Δμ) is investigated in this paper. For the fixed initial time and fixed initial concentration of the key component, the minimum power consumption of the multistage chemical pump system and the corresponding optimal concentration configuration of the key component in the high chemical potential reservoir are derived by applying Hamilton–Jacobi–Bellman optimisation theory analytically, and the obtained results are also compared with those obtained for the maximum power output of the multistage endoreversible chemical engine system. The results in this paper provide a new performance limit for fluid flow energy conversion processes, which is different from that given by conventional classical thermodynamics.