Abstract
The present study focuses on vertical distribution of concentration in a turbulent flow where the swapping of fluid parcels and suspended sediment parcels takes place over a vertical distance lm, the mixing length and generates a net vertical flux of momentum and sediment. The Fickian diffusivity of sediment has been considered not to be equal to the Fickian diffusivity of momentum, i.e., the eddy viscosity. Also, the study assumes that in the stream-wise direction the velocity of fluid and solid particles is identical, and in the transverse direction, they differ by the particle settling velocity \(w_{\text{s}}\). Apart from these, the study considers the reduction of mixing length due to the presence of suspended solid particles which damp the characteristic oscillation of turbulent flow. The model is solved numerically and is validated by comparing the solution with relevant set of laboratory experimental data.
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Jain, P., Ghoshal, K. (2020). Solution to One-Dimensional Diffusion Equation with Concentration-Dependent Mixing Length. In: Bhattacharyya, S., Kumar, J., Ghoshal, K. (eds) Mathematical Modeling and Computational Tools. ICACM 2018. Springer Proceedings in Mathematics & Statistics, vol 320. Springer, Singapore. https://doi.org/10.1007/978-981-15-3615-1_7
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