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Analytical solutions for sediment concentration in waves based onlinear diffusivity
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作者 Yiqin Xie Jifu Zhou +2 位作者 Xu Wang Yanrong Kuai Yongjun Lu 《Theoretical & Applied Mechanics Letters》 CSCD 2021年第2期77-80,共4页
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 con... 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. 展开更多
关键词 Analytical solution Wave-induced sediment concentration reference concentration Pickup function Sediment diffusivity
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