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Mathematical Proceedings of the Cambridge Philosophical Society | Vol.50, Issue.1 | | Pages 105-124

Mathematical Proceedings of the Cambridge Philosophical Society

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

R. C. Lock  
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.(Received May 22 1953)

Original Text (This is the original text for your reference.)

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

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.(Received May 22 1953)

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R. C. Lock,.Hydrodynamic stability of the flow in the laminar boundary layer between parallel streams. 50 (1),105-124.

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