Analytical solutions for sediment concentration in waves based on linear diffusivity. Issue 2 (February 2021)

• Record Type: Journal Article
• Authors: Xie, Yiqin; Zhou, Jifu; Wang, Xu; Kuai, Yanrong; Lu, Yongjun
• Is Part Of: Theoretical & applied mechanics letters. Volume 11:Issue 2(2021)
• Publication Date: 2021-02
• Subjects: Analytical solution -- Wave-induced sediment concentration -- Reference concentration -- Pickup function -- Sediment diffusivity; Mechanics, Applied -- Periodicals; Mechanics, Analytic -- Periodicals; Mechanics, Analytic; Mechanics, Applied; Periodicals; 620.1
• DOI: 10.1016/j.taml.2021.100232
• Languages: English
• ISSNs: 2095-0349

Abstract

Highlights: Time-dependent solutions have been provided for suspended sediment concentration induced by waves. A variable transformation has been worked out to help get the two analytical solutions. The analytical solutions are able to well describe the profile and process of wave-induced sediment concentration. Abstract: Two kinds of analytical solutions are derived through Laplace transform for the equation that governs wave-induced suspended sediment concentration with linear sediment diffusivity under two kinds of bottom boundary conditions, namely the reference concentration (Dirichlet) and pickup function (Numann), based on a variable transformation that is worked out to transform the governing equation into a modified Bessel equation. The ability of the two analytical solutions to describe the profiles of suspended sediment concentration is discussed by comparing with different experimental data. And it is demonstrated that the two analytical solutions can well describe the process of wave-induced suspended sediment concentration, including the amplitude and phase and vertical profile of sediment concentration. Furthermore, the solution with boundary condition of pickup function provides better results than that of reference concentration in terms of the phase-dependent variation of concentration.