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The present study revisits the vertical distribution of suspended sedimentconcentration in an open channel flow with a special attention to sedimentdiffusion coefficient. If turbulent diffusivity is considered to follow aparabolic-type profile, the diffusivity coefficient is zero at the bed and verysmall near the bed; so alone it may not be enough to diffuse the particles frombed-load layer to suspension region. Leighton & Acrivos (J. Fluid Mech., vol.181, 1987, pp. 415-439) introduced the idea of shear-induced diffusion thatarises due to the hydrodynamic interactions between solid particles. This workconsiders the Hunt diffusion equation incorporating the concept ofshear-induced diffusion and reinvestigates the vertical sediment concentrationprofile. Analytical solution is derived using a non-perturbation approach,namely Homotopy Analysis Method (HAM), and is verified with numerical solutionas well as compared with available experimental data. The behaviour of theshear-induced diffusion coefficient with vertical distance and varying particlediameters have been interpreted physically. In addition, the effects ofimportant turbulent factors such as inverse of Schmidt number, hinderedsettling velocity on concentration profile, have been investigated consideringrelevant sets of experimental data.

Vertical sediment concentration distribution revisited with shear-induced diffusivity: An explicit series solution based on homotopy analysis method