Analytical solutions for sediment concentration in waves based on linear diffusivity

• 作者: Yiqin Xie Jifu Zhou Xu Wang Yanrong Kuai Yongjun Lu
• 来源期刊: 力学快报（英文版）
• 年，卷（期）: 2021,（2）
• 所属期刊栏目: Fluid Mechanics
• 页码范围: 77-80
• 页数: 4页
• 语种: 英文
• DOI: 10.3969/j.issn.2095-0349.2021.02.003

摘要

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 (Nu- mann), 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 sus- pended 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 concentra- tion. 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.