An analytical model for mass transport calculations in a viscous muddy layer

Shamsnia, S. Hadi; Haghshenas, S. Abbas; Ghader, Sarmad; Mahshid, Kamrooz

doi:10.1016/j.apor.2021.102816

Cited by 1 publication

(2 citation statements)

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“…We consider first the flow region before the surface obstacle, i.e., Region 1: x < −B. To satisfy the Laplace Equation (23), by the method of eigenfunction expansions, the solution form for Φ is formulated as…”

Section: Water Layermentioning

confidence: 99%

“…Due to the diverse rheological properties of fluid mud partly as a consequence of its distinct physico-chemical compositions, it is unequivocal that no single model is capable of describing the entire spectrum of rheological behaviors of fluid mud. Recent analytical results for wave-mud interactions include a depth-integrated model for weakly nonlinear long waves over a thin layer of viscoelastic mud on a mild-slope beach [21], a Boussinesq-type model incorporating two distinct soft mud layers to take into account the vertical variation of mud properties [22], and a linear theory for waves and currents over a viscoud fluid bed [23].…”

Section: Introductionmentioning

confidence: 99%

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Analytical Solution for Wave Scattering by a Surface Obstacle above a Muddy Seabed

Chan

2022

Mathematics

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We present an analytical solution for the scattering of linear progressive waves by a surface rectangular obstacle above a muddy seabed. The bottom cohesive mud is assumed to act as a Newtonian fluid, and the thickness of the mud layer is considered to be comparable to the Stokes boundary layer thickness. Our analytical results based on the matched eigenfunction expansions incorporate the combined effects of obstacles and a fluid mud bottom. By reducing the mud layer thickness or the dimensions of the obstacle to zero, the present study recovers the classical solution for wave scattering by a surface obstacle above a solid bed or wave propagation over a layer of fluid mud. Our analytical predictions of wave amplitudes and wave forces acting on the bottom of the obstacle agree satisfactorily with the available numerical results. The most prominent effect of a muddy seabed is a strong damping of wave amplitude. Parameter study reveals that the obstacle submerged depth, mud layer thickness, and wave frequency can have significant impacts on the attenuation of wave amplitude due to the presence of a muddy seabed.

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Section: Water Layermentioning

confidence: 99%