论文标题

一般形式主义用于计算$ P-V $图中定义的热力学周期的热效率

General formalism for calculating the thermal efficiency of thermodynamic cycles defined in a $p-V$ diagram

论文作者

Könye, Viktor, Cserti, József

论文摘要

我们开发了一种计算压力体积($ P-V $)图中定义的任意热力学周期的热效率的一般方法。为了证明我们的方法的有效性,我们计算了$ P-V $图中一些非平凡循环的理想气体发动机的热效率,包括圆形形状,心形,CEVA的cycloid和一条星形曲线。我们确定从热发动机吸收或释放热的周期的段。我们的方法可以应用于任何气体模型,例如,我们提供了范德华气体的结果。

We develop a general method for calculating the thermal efficiency of arbitrary thermodynamic cycles defined in the pressure-volume ($p-V$) diagram. To demonstrate how effective our approach is, we calculate the thermal efficiency of ideal gas engines for a few non-trivial cycles in the $p-V$ diagram, including a circular shape, a heart shape, a cycloid of Ceva, and a star-shaped curve. We determine the segments along the cycle where heat is absorbed or released from the heat engine. Our method can be applied to any gas model, and, as an example, we present the results for the van der Waals gas.

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