小振辐振荡圆柱诱导的二次旋涡流动

本文给出充满粘性不可压缩流体时同心圆柱间内柱作小振幅振荡所诱导的二次旋涡流动的解析解,对典型的柱径比给出容器外边界对二次旋涡流动流线、涡量分布和动能分布的影响。给出了等涡量线和等动能线分布的鞍点。采用数值求解非定常Stokes流动考察了二次旋涡流动的发展过程。二次定常旋涡流动的显示实验表明,解析解、数值计算和实验显示所示流谱基本一致。

The Secondary Vortex Flow Induced by an Oscillatory Circular Cylinder at a Small Amplitude

This paper presented an analytic solusion for the streaming-induced secondary vortex flow around an oscillating circular cylinder at a small amplitude and the cylinder is placed at the center of a circular container filled with incompressible viscous fluid at rest. The streamlines, the iso-vorticity lines and the iso-kinetic-energy lines of the vortex flow are given for the typical values of the container-cylinder radius ratios. The saddle points of the distributions of the vorticity and the kinetic energy are obtained. The development of the secondary vortex flow is simulated numerically for unsteady Stokes flow. The flow visualization experiments are carried out for the steady secondary vortex flow. The flow patterns given by the analytic solusion, the numerical simulation and the flow visualization are fit well each other.