Lingen Chen
Institute of Thermal Science and Power Engineering, Naval University of Engineering,
Wuhan, 430033, P. R. China; Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering,
Wuhan, 430033, P. R. China; College of Power Engineering, Naval University of Engineering, Wuhan 430033, P. R. China
Shaojun Xia
Institute of Thermal Science and Power Engineering, Naval University of Engineering, Wuhan 430033, P. R. China; Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering,
Wuhan 430033, P. R. China; College of Power Engineering, Naval University of Engineering, Wuhan 430033, P. R. China
Yanlin Ge
Institute of Thermal Science and Power Engineering, Naval University of Engineering,
Wuhan, 430033, P. R. China; Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering,
Wuhan, 430033, P. R. China; College of Power Engineering, Naval University of Engineering, Wuhan 430033, P. R. China; Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, P.R. China; School of Mechanical & Electrical Engineering, Wuhan Institute of Technology,
Wuhan 430205, P.R. China
Zhihui Xie
Institute of Thermal Science and Power Engineering, Naval University of Engineering,
Wuhan, 430033, P. R. China; Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering,
Wuhan, 430033, P. R. China; College of Power Engineering, Naval University of Engineering, Wuhan 430033, P. R. China
A multistage isothermal irreversible chemical engine system with the diffusive mass transfer law
[ g ∝ Δ(c) ] is investigated in this paper. For the fixed initial time and fixed initial concentration of the key component in the driving fluid, the optimality condition for the maximum power output of the
multistage chemical engine system are obtained by Hamilton-Jacobi-Bellman (HJB) optimization theory, and then numerical examples for two different boundary conditions are given by dynamic programming. The results show that the relative concentration of the key component in the driving
fluid for the maximum power output of the multistage chemical engine system changes with time
approximate linearly; both the internal irreversibility factor and boundary concentration conditions
has significant effects on the optimization results. The results obtained in this paper could provide
some theoretical guidelines for the optimal designs and operations of practical energy conversion
systems.