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On the structure of turbulent flow over a progressive water wave: theory and experiment in a transformed, wave-following co-ordinate system

Published online by Cambridge University Press:  20 April 2006

Chin-Tsau Hsu ,
En Yun Hsu  and
Robert L. Street
Chin-Tsau Hsu
Affiliation:
Department of Civil Engineering, Stanford University, California 94305 Now at Fluid Mechanics Department, TRW/DSSG, One Space Park, Redondo Beach, California.
En Yun Hsu
Affiliation:
Department of Civil Engineering, Stanford University, California 94305
Robert L. Street
Affiliation:
Department of Civil Engineering, Stanford University, California 94305
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Abstract

An investigation of the turbulent flow structure over a progressive water wave, as well as the structure of the wave-induced flow field in a transformed wave-following frame, is reported. Experimental results are given for a free-stream velocity of 2·4 m s−1 over a 1 Hz mechanically generated deep-water wave. The velocity components were measured with a cross hot-film probe oscillating in a transformed wave-following frame. The amplitude and phase of the wave-induced velocity components are deduced by correlation to the generated water wave. The mean flow tends to follow the wave form so that the water wave should not be regarded as surface roughness. The mean velocity profile is basically log-linear and is similar to that over a smooth plate, because ripples riding on the waves do not produce sufficient roughness to interfere with the wind field. The wave-induced motion in the free stream is irrotational; but, in the boundary layer, it has strong shear behaviour related to the wave-associated Reynolds stress. The shear stress production as well as the energy production from the mean flow is concentrated near the interface. A phase jump of 180° in the wave-induced turbulent Reynolds stresses in the middle of the boundary layer was observed. The relationships between the induced turbulent Reynolds stresses and the induced velocities are of an eddy-viscosity type.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 105 , April 1981 , pp. 87 - 117
Copyright
© 1981 Cambridge University Press

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