OPTIMAL EXPANSION OF A HEATED WORKING FLUID

IN A CYLINDER WITH A MOVEABLE PISTON IN

THE CASE OF （q∝ΔT-1）

Chen Lingen  Sun Fengrui  Chen Wenzhen

(Naval Academy of Engineering)

Abstract: This paper discusses the optimal motion of a piston fitted to a cylinder containing an ideal gas pumped with given with a given heating rate f（t） and coupled to a heat bath in the case of heat-transfer law q∝Δ（T-1）for a given finite amount of time. The optimal motion which maximizing the expansion work is obtained. Some applications of the optimal motion are also given.
Key words: Thermodynamics  Cylinder Heatied working fluid  Optimal control
Received 19910330, received in revised form 19920625