Abstract
We make use of the partial slip boundary condition, commonly introduced to investigate steady flows, to evaluate the oscillatory flow generated close to a rough sandy bottom by propagating surface waves. Moderate values of the Reynolds number are considered such that the flow regime is laminar. However, an eddy viscosity is introduced to take into account the momentum transfer induced by the small vortices shed by the roughness/grain elements and the effect that these vortices have on the mixing processes. Because of the oscillatory forcing, the slip velocity at the bottom turns out to be characterized by both an amplitude and a phase that are evaluated by fitting the model results to experimental measurements. Moreover, a reasonable form of the ’eddy viscosity’ is chosen on the basis of physical arguments. A comparison between the model predictions and the experimental measurements supports the proposed approach.
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Data Availability Statement
The data used in the present investigation were obtained from the original paper by Sleath (1970) by using the web tool https://automeris.io/WebPlotDigitizer/. The fortran code, which was used to numerically solve Eq. (6) and to obtain the velocity profiles, is available upon request. Please also see the guidelines at: https://ascelibrary.org/page/dataavailability.
Acknowledgments
This study has been partially supported by Ministero dell’Istruzione dell’Universitá e della Ricerca - MIUR (under Grant FUNBREAK-PRIN2017 n. 20172B7MY9) and by the University of Genova.
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Published In
Journal of Hydraulic Engineering
Volume 149 • Issue 6 • June 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Apr 5, 2022
Accepted: Jan 21, 2023
Published online: Apr 8, 2023
Published in print: Jun 1, 2023
Discussion open until: Sep 8, 2023
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