Maximum work output configuration of finite potential source irreversible isothermal chemical engines with bypass mass leakage and mass resistance

Abstract

A model of a finite potential source irreversible isothermal chemical engine (ICE) cycle with bypass mass leakage and mass resistance is established. Mass transfer processes are assumed to obey linear mass transfer law [g∝Δ(μ)] in linear irreversible thermodynamics. The optimality condition for the maximum work output of the ICE cycle is derived by applying averaged optimal control theory. Effects of total mass of high-chemical-potential reservoir and bypass mass leakage on optimization results are analyzed. The results obtained in this paper are rather general, which include those for various special cases including infinite and finite potential source endoreversible ICE cycles, and infinite potential source irreversible ICE cycles.

Keywords

• Irreversible isothermal chemical engine
• Finite time thermodynamics
• Averaged optimal control
• Bypass mass leakage
• Mass resistance
• Maximum work output