论文标题

非旋流理论

Theory of Irrotational Flow

论文作者

Nerney, Steven, Nerney, Edward G.

论文摘要

我们分析了Navier Stokes方程,并表明所有非粘性,无旋转的流都是正压。据我们所知,这在文献中从未在文献中说过,并且间接地表明,使这些流动非偏见需要涡度。压力,温度,速度,熵,焓和Bernoulli函数都被推导为密度的函数(这是空间和时间的函数)。当我们还需要稳定的流动时,伯努利函数在所有空间中都是一个常数,而不仅仅是在流线上。

We analyze the Navier Stokes equation, and show that all non-viscous, irrotational flows are barotropic. As far as we know, this has never been stated in the literature before, and indirectly suggests that vorticity is required to make these flows non-barotropic. Both the pressure, temperature, speed, entropy, enthalpy, and a Bernoulli function are derived to be only functions of the density (which is a function of space and time). When we also require steady flow, the Bernoulli function is a constant in all space, not just on streamlines.

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