Vorticity generation and conservation on generalised interfaces in three-dimensional flows
Vorticity generation and conservation on generalised interfaces in three-dimensional flows
复制标题
三维流广义界面上的涡度产生与守恒
DOI：
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发表时间：
2022
影响因子：
3.7
通讯作者：
M. Thompson
中科院分区：
文献类型：
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作者：
S. Terrington;K. Hourigan;M. Thompson
摘要本文提出了广义界面上涡度产生的三维理论，包括非滑动和自由滑动边界，它推广了以前的二维表述(Terrington等人，《流体力学》，第890卷，2020，A5页)。在这种描述下，由切向压力梯度或体力驱动的边界两侧流体元素之间的无粘性相对加速度可以在边界上产生涡量。粘性在代表界面滑移速度的涡片和流体内部之间起着传递循环的作用，但不是在界面上产生涡量的原因。该公式还描述了界面和自由表面流动的涡量守恒原理：在许多流动形态中，界面上的涡量净生成为零，总环量在流动演变过程中保持不变。
Abstract This article presents a three-dimensional theory of vorticity creation on generalised interfaces, including both non-slip and free-slip boundaries, which generalises a previous two-dimensional formulation (Terrington et al., J. Fluid Mech., vol. 890, 2020, p. A5). Under this description, vorticity may be created on a boundary by the inviscid relative acceleration between fluid elements on each side of the boundary, driven by either tangential pressure gradients or body forces. Viscosity acts to transfer circulation between the vortex sheet representing the slip velocity on the interface, and the fluid interior, but is not responsible for the creation of vorticity on the interface. This formulation also describes a principle of vorticity conservation for interfacial and free-surface flows: in many flow configurations, the net generation of vorticity on the interface is zero, and the total circulation remains constant throughout flow evolution.