Scaling Relationships for Sand Wave Development in Unidirectional Flow
Publication: Journal of Hydraulic Engineering
Volume 123, Issue 12
Abstract
Sand wave development on an initially flat bottom under steady unidirectional flow is examined on the basis of laboratory measurements. A common scaling relationship P0(t)/Pe= (t/T)α is proposed for the length and height of waves [P0(t) and Pe denote the average length or height of sand waves after time t and in an equilibrium state that is attained after time T]. A similar relationship σz(δx, t)/σz0= (t/T)αf[(δx/δx0)/(t/T) is proposed to describe the scaling behavior of the root-mean-square deviations σz(δx, t) of bottom elevation Z(x, t). Here, σz0 is σz(δx, t) when δx≥δx0 and t≥T, and δx0 is δx when the function σz(δx, T) becomes saturated, i.e., during the transition from the regime where σz∝δxH to the regime where σz=σz0= const. The scaling exponents α and H equaled 0.28 and 1.0, respectively, for the laboratory experiments.
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Published In
Journal of Hydraulic Engineering
Volume 123 • Issue 12 • December 1997
Pages: 1152 - 1156
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Dec 1, 1997
Published in print: Dec 1997
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