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Open AccessFeature PaperArticle

An Analytical Study on Wave-Current-Mud Interaction

1
Department of Geophysics, Tehran University, End of North Kargar St. PC, Tehran 1439951113, Iran
2
Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, LAMA, 73000 Chambéry, France
*
Author to whom correspondence should be addressed.
Water 2020, 12(10), 2899; https://doi.org/10.3390/w12102899
Received: 8 September 2020 / Revised: 7 October 2020 / Accepted: 14 October 2020 / Published: 17 October 2020
(This article belongs to the Special Issue Mathematical Modeling of Sediment Transport in Coastal Areas)
This study aims at providing analytical investigations to the first and second-order on the wave–current–mud interaction problem by applying a perturbation method. Direct formulations of the wave–current–mud interaction could not be found in the literature. Explicit formulations for the particle velocity, dissipation rates, and phase shift in the first order and the mass transport in the second-order have been obtained. The findings of the current study confirmed that by an increase in the current velocity (e.g., moving from negative to positive values of current velocity), the dissipation rates and mud (instantaneous and mean) velocity decrease. The proposed assumption of a thin mud layer (boundary layer assumption) matches with the laboratory data in the mud viscosity of the orders of (0.01 N/m2) in both wave dissipation and mud mass transport leading to small ranges of discrepancies. The results from the newly proposed model were compared with the measurements and the results of an existing model in the literature. The proposed model showed better agreements in simulating the mud (instantaneous and mean) velocity compared to the existing one. View Full-Text
Keywords: wave–current–mud interaction; perturbation method; particle velocity; dissipation rates; phase shift; mass transport wave–current–mud interaction; perturbation method; particle velocity; dissipation rates; phase shift; mass transport
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Shamsnia, S.H.; Dutykh, D. An Analytical Study on Wave-Current-Mud Interaction. Water 2020, 12, 2899.

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