Abstract
Two-dimensional model for the flow hydrodynamics and mass transport is considered by Kalkwijk and de Vriend (J Hydraul Res 18(4):327–342, 1980) [20] in curved channels with absorbing boundaries. Longitudinal velocity dominates over the lateral flow for the case of laminar flow, while the transverse velocity is also considered with longitudinal velocity for turbulent flow. However, the transverse velocity is much less than the longitudinal velocity in the case of mildly curved channel flow. Longitudinal diffusivity is estimated using method of moments on the advection–diffusion equation governing the concentration of the diffusing substance, which gives substantial information about the concentration distribution of diffusing substance across the flow. It is observed that the effective dispersion coefficient is a function of the curvature parameter and absorbing parameter. It is found that the steady state of dispersion coefficient is achieved earlier in the case of turbulent flow than in the case of laminar flow. Effective dispersion coefficient incorporates the combined effects of wall curvature and absorption on boundaries.
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Kumar, S., Jayaraman, G. (2015). Estimation of Longitudinal Diffusivity in Laminar/Turbulent Flow Through Curved Channels with Absorbing Boundaries Using Method of Moments. In: Siddiqi, A., Manchanda, P., Bhardwaj, R. (eds) Mathematical Models, Methods and Applications. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-287-973-8_14
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