径向流中涡对的动力学
Dynamics of Vortex Pair in Radial Flow
摘要：
求解了二维平面径向流中涡对的运动问题。在一定的流动参数条件下，涡对可以在有界区域内反向运动。涡对的平移速度减小或增加后，通过源/汇区，这取决于是否流动是发散或收敛，分别。在静止环境中，两个共转涡旋的旋转运动在径向流存在时转化为沿对数螺线的运动。这个问题可能在天体物理学和地球物理学中有应用。
英文摘要：
The problem of vortex pair motion in two-dimensional plane radial flow is solved. Under certain conditions for flow parameters, the vortex pair can reverse its motion within a bounded region. The vortex-pair translational velocity decreases or increases after passing through the source/sink region, depending on whether the flow is diverging or converging, respectively. The rotational motion of two corotating vortexes in a quiescent environment transforms into motion along a logarithmic spiral in the presence of radial flow. The problem may have applications in astrophysics and geophysics.
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