Analytical solutions for sediment concentration in waves based onlinear diffusivity  

作　　者：Yiqin Xie Jifu Zhou Xu Wang Yanrong Kuai Yongjun Lu 

机构地区：[1]Key laboratory for Mechanics in Fluid Solid Coupling Systems,Institute of Mechanics,Chinese Academy of Sciences,Beijing,China [2]School of Engineering Sciences,University of Chinese Academy of Sciences,Beijing,China [3]State Key Lab Hydrol Water Resources&Hydraul En,Nanjing Hydraulic Research Institute,Nanjing,Jiangsu 210024,China

出　　处：《Theoretical & Applied Mechanics Letters》2021年第2期77-80,共4页力学快报（英文版）

基　　金：support of the National Key R&D Program of China (2017YFC1404202);the National Natural Science Foundation of China ( 11572332 and 51520105014 );the Strategic Priority Research Program of the Chinese Academy of Sciences (XDB22040203 and XDA22040304)

摘　　要：Two kinds of analytical solutions are derived through Laplace transform for the equation that governswave-induced suspended sediment concentration with linear sediment diffusivity under two kinds ofbottom 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 intoa 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 isdemonstrated that the two analytical solutions can well describe the process of wave-induced suspendedsediment 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 thanthat of reference concentration in terms of the phase-dependent variation of concentration.

关 键 词：Analytical solution Wave-induced sediment concentration Reference concentration Pickup function Sediment diffusivity 

分 类 号：TV148[水利工程—水力学及河流动力学] P731.2[天文地球—海洋科学]