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Equilibrium-range spectra of sand waves formed by flowing water

Published online by Cambridge University Press:  28 March 2006

Mikio Hino
Mikio Hino
Affiliation:
Department of Civil Engineering, Tokyo Institute of Technology, O-okayama, Meguro-ku, Tokyo
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Abstract

Based on a dimensional consideration, the ‘−3 power law’ on the spatial spectrum of sand waves formed by flowing water Sηη(k) is derived for a large wave-number equilibrium subrange, \[ S_{\eta\eta}(k)\sim \alpha k^{-3}, \] where α is a constant depending on the angle of repose of sand particles and k denotes the wave-number.

Likewise, the frequency spectrum is shown to have the ‘−3 power law’ range for higher frequencies as well as the ‘−2 power law’ range for frequencies near a spectral peak.

These spectra are shown to agree with experimental data from various sources.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 34 , Issue 3 , 2 December 1968 , pp. 565 - 573
Copyright
© 1968 Cambridge University Press

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