Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-25T02:05:51.710Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  24 October 2008

R. C. Lock
R. C. Lock
Affiliation:
Gonville and Caitts CollegeCambridge
Get access Rights & Permissions [Opens in a new window]

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 50 , Issue 1 , January 1954 , pp. 105 - 124
Copyright
Copyright © Cambridge Philosophical Society 1954

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Heisenberg, W.Ann. Phys., Lpz., 74 (1924), 577–627.CrossRefGoogle Scholar
(2)Jeffreys, H.On the formation of water waves by wind. Proc. roy. Soc. A, 107 (1925), 189–206.Google Scholar
(3)Lamb, H.Hydrodynamics, 4th ed. (Cambridge, 1916).Google Scholar
(4)Lin, C. C.On the stability of two-dimensional parallel flows. Quart. appl. Math. 3 (1945–6), 117–42, 218–34, 277–301.CrossRefGoogle Scholar
(5)Lock, R. C.The velocity distribution in the laminar boundary layer between parallel streams. Quart. J. Mech. 4 (1951), 42–57.CrossRefGoogle Scholar
(6)Meksyn, D.Fluid motion between parallel planes; dynamical stability. Proc. roy. Soc. A, 186 (1946), 391–409.Google Scholar
(7)Tables of the modified Hankel functions of order one-third (Harvard, 1945).Google Scholar