Abstract

In this paper, we investigate relations between water surface fluctuations and turbulence structures in openchannel flows. Examined here are instantaneous velocity vectors and corresponding water surface profiles measured by a simultaneous image measurement technique. At first, the proper orthogonal decomposition (POD) of the water surface fluctuations successfully extracts their predominant spatial characteristics that are represented as sinusoidal wave shapes. Then, by using the modal amplitudes of the POD eigenvectors, we calculate spatial correlation coefficients between the amplitudes and the velocity fluctuations. The result shows that there exists a thin surface layer near the water surface in which velocity fluctuations seem to be parallel to the surface and that there are strong relationships between the water surface fluctuations and the large scale turbulent structures that have the same longitudinal scale.

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