Abstract
The phase-averaged depth-integrated vegetal drag force (Fv) directly impacts the mean water level (MWL) change in vegetation. Evaluated from linear wave theory, Fv integrated along the submerged part of vegetation becomes zero due to the symmetric profile of horizontal velocity. In this study, a semianalytical model for estimating Fv on vegetation stems exposed to Stokes waves is developed based on Stokes second-order wave theory (STK). By assuming a narrow-banded wave spectral density and Rayleigh-distributed wave heights, the proposed model can be applied to random waves. STK-based formulas of the maximum depth-integrated vegetal drag force, bending moment, and bending stress are provided to assess the breakage of vegetation stems. Moreover, by taking the solutions from the stream function wave theory as references, the applicable ranges of the STK-based semianalytical model of Fv and drag-induced bending moment are determined.
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Acknowledgments
Permission to publish this paper was granted by the Chief of Engineers, USACE. Funding for this work was provided by USACE (Cooperative Agreement W912HZ-16-2-0025). Work by Q. Chen and L. Zhu was supported in part by the National Science Foundation (Grants SEES-1427389 and CCF-153956).
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Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 145 • Issue 2 • March 2019
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© 2018 American Society of Civil Engineers.
History
Received: Apr 9, 2018
Accepted: Jun 29, 2018
Published online: Dec 11, 2018
Published in print: Mar 1, 2019
Discussion open until: May 11, 2019
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