The pattern of surface waves in a shallow free surface flow

41Citations
Citations of this article
22Readers
Mendeley users who have this article in their library.

Abstract

This work presents new water surface elevation data including evidence of the spatial correlation of water surface waves generated in shallow water flows over a gravel bed without appreciable bed forms. Careful laboratory experiments have shown that these water surface waves are not well-known gravity or capillary waves but are caused by a different physical phenomenon. In the flow conditions studied, the shear present in shallow flows generates flow structures, which rise and impact on the water-air interface. It is shown that the spatial correlation function observed for these water surface waves can be approximated by the following analytical expression W(ρ) = e -ρ2/2σw2 cos(2πL 0 -1 ρ). The proposed approximation depends on the spatial correlation radius, σ w, characteristic spatial period, L 0, and spatial lag, ρ. This approximation holds for all the hydraulic conditions examined in this study. It is shown that L 0 relates to the depth-averaged flow velocity and carries information on the shape of the vertical velocity profile and bed roughness. It is also shown that σ w is related to the hydraulic roughness and the flow Reynolds number. ©2013. American Geophysical Union. All Rights Reserved.

Cite

CITATION STYLE

APA

Horoshenkov, K. V., Nichols, A., Tait, S. J., & Maximov, G. A. (2013). The pattern of surface waves in a shallow free surface flow. Journal of Geophysical Research: Earth Surface, 118(3), 1864–1876. https://doi.org/10.1002/jgrf.20117

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free