Fernandez-Feria R
Universidad de Malaga, E.T.S. Ingenieros Industriales, 29013 Malaga, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3 Pt 2B):036307. doi: 10.1103/PhysRevE.65.036307. Epub 2002 Feb 13.
A linear, temporal, and viscous stability analysis of the boundary layer induced on a solid plane by a three-dimensional potential sink flow is considered. The flow is inviscidly (neutrally) stable. For axisymmetric perturbations, one can analyze separately the stability of those perturbations with a purely circumferential motion, and those with no azimuthal velocity. The first ones are shown to be always stable, a result that is found analytically. The second ones become unstable in a range of (high) Reynolds numbers that depends on the radial wave number. Finally, it is shown that all nonaxisymmetric perturbations are linearly stable.
考虑了由三维势汇流在固体平面上诱导的边界层的线性、时间和粘性稳定性分析。该流动是无粘（中性）稳定的。对于轴对称扰动，可以分别分析具有纯圆周运动的扰动和没有方位角速度的扰动的稳定性。结果表明，前者总是稳定的，这是通过解析得到的结果。后者在取决于径向波数的一系列（高）雷诺数范围内变得不稳定。最后，结果表明所有非轴对称扰动都是线性稳定的。
