可逆圆形热循环过程的循环效率研究

Research on the Cycle Efficiency for a Process of Reversible Circular Thermal Cycle

从理论上讲任何正循环都可以作为某种热机的工作原理,其循环效率不仅与循环曲线的形状有关,而且与循环曲线在p-V图的位置有关.作为理论探讨,以对称性最高的圆形循环为例来讨论上述问题很有代表性.首先给出圆形热循环的循环效率的解析表达式,在此基础上讨论了随圆心的坐标及半径的改变循环效率的变化关系,以及圆形循环的循环效率曲线在p-V图上的分布情况.

Theoretically, any normal thermal cycle can be considered as an operating principles of heat engine, its efficiency is related not only with the shape of cycle, but also with its position in p- V diagram. In theory, we can take circular thermal cycle as an example to discuss the above questions, because circular cycle has the highest symmetry. Firstly, we give the analytic expression on the efficiency for a circular thermal cycle. Secondly, we discuss the changes of the efficiency with the center coordinates and radius. We also give the distribution curve of the same value of efficiency on the p- V diagram.