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Vertical Sediment Concentration Distribution in High-Concentrated Flows:An Analytical Solution Using Homotopy Analysis Method

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Communications in Theoretical Physics 2018年第9期69卷 367-378页

作者： Manotosh Kumbhakar jitraj saha Koeli Ghoshal Jitendra Kumar Vijay P.Singh Department of Mathematics Indian Institute of Technology KharagpurKharagpur 721302India Department of Mathematics National Institute of TechnologyTiruchirappalliTamil Nadu 620015India Department of Biological and Agricultural Engineering&Zachry Department of Civil Engineering Texas A~M UniversityCollege StationTX 77843USA

Transport of suspended sediment in open channel flow has an enormous impact on real life situations,*** and management of reservoir sedimentation,geomorphic evolution such as dunes,rivers,and coastlines *** entails advection and *** diffusion is governed by the concept of Fick’s law,which is based on the molecular diffusion theory,and the equation that represents the distribution of sediment concentration is the advection-diffusion *** study uses the existing governing equation which considers different phases for solid and fluid,and then couples the two *** deal with high-concentrated flow,sediment and turbulent diffusion coefficients are taken to be different from each *** effect of hindered settling on sediment particles is incorporated in the governing equation,which makes the equation highly *** study derives an explicit closed-form analytical solution to the generalized one-dimensional diffusion equation representing the vertical sediment concentration distribution with an arbitrary turbulent diffusion coefficient *** solution is obtained by Homotopy Analysis Method,which does not rely on the small parameters present in the ***,the solution is validated by comparing it with the implicit solution and the numerical solution.A relevant set of laboratory data is selected to check the applicability of the model,and a close agreement shows the potential of the model in the context of application to high-concentrated sediment-laden open channel flow.

关键词： open channel flow diffusion equation hunt equation homotopy analysis method

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