Hydrodynamic stability of the flow in the laminar boundary layer between parallel streams

Hydrodynamic stability of the flow in the laminar boundary layer between parallel streams
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平行流之间层流边界层中流动的水动力稳定性

DOI:
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发表时间:
1954
影响因子:
0.8
通讯作者:
R. Lock
R. Lock
中科院分区:
数学2区
文献类型:
--
作者:
R. Lock

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本文给出了一种确定静止液体表面上水平风的稳定层流中小正弦振荡稳定性的方法(特别是空气在水面上的流动),同时考虑了粘性、重力和表面张力。本文指出,系统存在两种基本的振荡类型,可称为“水波”和“空气波”,并给出了风速在100 ~ 300厘米范围内这两种波的中性稳定性条件曲线。秒
ABSTRACT A method is given for determining the stability of small sinusoidal oscillations in the steady laminar flow of a horizontal wind over the surface of a liquid at rest (with particular reference to the flow of air over water), taking into account viscosity, gravity and surface tension. It is shown that there are two fundamental types of oscillation of the system, which may be called ‘water’ waves and ‘air’ waves, and curves showing the conditions for neutral stability of these two types of wave are given for a range of wind speeds from 100 to 300 cm./sec.