Evolution of the flow field associated with a streamwise diffusing vortex
Evolution of the flow field associated with a streamwise diffusing vortex
复制标题
与流向扩散涡有关的流场的演变
DOI：
10.1017/s0022112084001853
复制
发表时间：
1984
影响因子：
3.7
通讯作者：
F. H. Abernathy
中科院分区：
文献类型：
--
作者：
C. Pearson;F. H. Abernathy
考虑了具有嵌入式流向涡流的剪切流的演变。使用涡旋结构的理想化模型；假定涡流在流方向上具有无限范围，并且是在零时间开启的潜在涡流（涡丝），并且随后在粘性作用下允许扩散。环境流最初被视为线性剪切剖面；然后，在涡流引起的粘性和对流的共同作用下，流动发生演变。假设边界被无限地从涡核移除。找到了一个相似变量，将引起的流向速度扰动方程简化为常微分方程，很容易进行数值求解。涡流雷诺数、循环/粘度被发现是最重要的。给出了计算出的速度剖面。
The evolution of a shear flow with an imbedded streamwise vortex is considered. An idealized model for the vortical structure is used; the vortex is assumed to be of infinite extent in the stream direction, and to be a potential vortex (vortex filament) turned on at time zero, and subsequently allowed to diffuse under the action of viscosity. The ambient flow is taken to be, initially, a linear shear profile; the flow then evolves under the joint action of viscosity and convection induced by the vortex. Boundaries are assumed to be infinitely removed from the vortex core. A similarity variable is found which reduces the equation for the induced streamwise velocity perturbation to an ordinary differential equation, which is easily solved numerically. The vortex Reynolds number, circulation/viscosity, is found to be of prime importance. Calculated velocity profiles are presented.