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.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference10 articles.
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