找回密码
 注册
查看: 343|回复: 0

【窦华书】NS方程的奇异导致湍流

[复制链接]
发表于 2021-1-9 13:33:40 | 显示全部楼层 |阅读模式

马上注册,结交更多好友,享用更多功能,让你轻松玩转社区。

您需要 登录 才可以下载或查看,没有帐号?注册

x
转发窦华书师兄的一篇关于湍流转捩的文章,供各位老师、同学参考!

Singularity of Navier-Stokes Equations Leading to Turbulence


Abstract. Singularity of Navier-Stokes equations is uncovered for the first time which explains the mechanism of transition of a smooth laminar flow to turbulence. It is found that when an inflection point is formed on the velocity profile in pressure driven flows, velocity discontinuity occurs at this point. Meanwhile, pressure pulse is produced at the discontinuity due to conservation of the total mechanical energy. This discontinuity makes the Navier-Stokes equations be singular and causes the flow to become indefinite. The analytical results show that the singularity of the Navier-Stokes equations is the cause of turbulent transition and the inherent mechanism of sustenance of fully developed turbulence. Since the velocity is not differentiable at the singularity, there exist no smooth and physically reasonable solutions of Navier-Stokes equations at high Reynolds number (beyond laminar flow). The negative spike of velocity and the pulse of pressure due to discontinuity have obtained agreement with experiments and simulations in literature qualitatively.


2020-Dou-AAMM-Singularity-Journal.pdf (364.29 KB, 下载次数: 5)
您需要登录后才可以回帖 登录 | 注册

本版积分规则

快速回复 返回顶部 返回列表