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A mathematical model on depth-averaged β-factor in open-channel turbulent flow
- Jain, Punit, Kumbhakar, Manotosh, Ghoshal, Koeli
- Environmental earth sciences 2018 v.77 no.6 pp. 253
- diffusivity, equations, mathematical models, regression analysis, sediments, spatial distribution, suspended sediment, turbulent flow
- The well-known Rouse equation is the most widely used equation to determine the vertical distribution of suspended sediment concentration in an open-channel flow. The exponent of Rouse equation, known as Rouse number, contains the parameter β defined by the ratio of sediment diffusion coefficient to turbulent diffusion coefficient. As such to measure sediment concentration accurately, an appropriate expression for β is essentially needed. The present study, therefore, focuses on the derivation of depth-averaged β through modified expressions of sediment and turbulent diffusion coefficients. A regression analysis is done to establish the relation between β and normalized settling velocity, and the relation is used to determine suspension concentration.