论文标题

评估经典机械系统中的小孔 - 斯托多拉定理:熵产生的研究

Evaluating the Gouy-Stodola Theorem in Classical Mechanic Systems: A Study of Entropy Generation

论文作者

Longaresi, R. H., Campos, S. D.

论文摘要

我们建议将熵一代$(\ dot s_ {gen} $)概念应用于机械系统:众所周知的简单摆。在考虑理想情况时,只有保守力在系统上起作用,一个人具有$ \ dot s_ {gen} = 0 $,并且熵变化为无效。但是,如下所示,时间熵变化并非始终为无效。考虑到与摆速度成正比的非保守力,随着$ t $的增长,振荡幅度降低到零。在这种情况下,$ \ dot s_ {gen}> 0 $表明它与耗能相关,如Gouy-Stodola定理所述。因此,如下所示,非保守力的强度越大,能量耗散和熵变化的时间速率越大。

We propose to apply the entropy generation $(\dot S_{gen}$) concept to a mechanical system: the well-known simple pendulum. When considering the ideal case, where only conservative forces act on the system, one has $\dot S_{gen}=0$, and the entropy variation is null. However, as shall be seen, the time entropy variation is not null all the time. Considering a non-conservative force proportional to the pendulum velocity, the amplitude of oscillations decreases to zero as $t$ grows. In this case, $\dot S_{gen}>0$ indicates that it is related to energy dissipation, as stated by the Gouy-Stodola theorem. Hence, as shall be seen, the greater the strength of the non-conservative force, the greater are both the energy dissipation and the time rate of entropy variation.

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