The self-induced motion of a helical vortex
The self-induced motion of a helical vortex
复制标题
螺旋涡旋的自感运动
DOI：
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发表时间：
2019
影响因子：
3.7
通讯作者：
J. Sørensen
中科院分区：
文献类型：
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作者：
V. Okulov;J. Sørensen
一个多世纪以来，人们一直在研究螺旋涡，以了解流体运动的基本方面。螺旋涡出现在自然界中，例如龙卷风，也出现在许多与混合和转子后尾迹有关的工业应用中。由于控制螺旋涡自激运动的方程的复杂性，到目前为止还不可能获得描述运动所有方面的封闭形式解。一个重要的问题是关于螺旋结构的自诱导运动和位于螺旋上的流体粒子的运动之间的区别。在这里，我们重新审视了控制螺旋涡旋结构运动和物质流体元素在螺旋轴上运动的方程，并为这两种情况导出了所得速度的封闭形式解。作为论文的一部分，我们还设计了所获得知识的潜在应用。
Helical vortices have been studied for more than a century to understand basic aspects of fluid motion. Helical vortices appear both in nature, e.g. as tornadoes, and in many industrial applications associated with mixing and in wakes behind rotors. Owing to the complexity of the equations governing the self-induced motion of helical vortices, it has up to now not been possible to obtain closed-form solutions describing all aspects of the motion. An important issue concerns the difference between the self-induced motion of the helical structure and the movement of fluid particles located on the helix. Here, we revisit the equations governing both the motion of the helical vortex structure and the motion of material fluid elements on the axis of the helix, and for both cases derive closed-form solutions for the resulting velocities. As a part of the paper, we also devise potential applications of the achieved knowledge.