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| 1 | Stochastic formulation of particle kinetics in wall-bounded two-phase flows显示文摘This paper presents a generalized framework of stochastic modeling for particle kinetics in wall-bounded flow.We modified a reflected Brownian motion process and straightforwardly obtained a Kramers equation for particle probability density function(PDF).After the wall effects were accounted for as a drift from zero in the mean displacement and suppression in the diffusivity of a particle,an analytical solution was worked out for PDF.Three distinguishable mechanisms were identified to affect the profile of particle probability distribution:external forces,turbophoresis effect,and wall-drift effect.The proposed formulation covers the Huang et al.(2009)model of a wall that produces electrostatic repulsion force and van der Waals force,as well as Monte-Carlo solutions for the Peter and Barenbrug(2002)model under a variety of relaxation times.Moreover,it successfully reproduces the two patterns of particle concentration profiles observed in experiments of sediment-laden open-channel flows.The strength of the wall-drift effect was found to be connected with the interaction frequency between particle and wall.Further exploration of the relationship among flow turbulence,particle inertia,and particle concentration is worthwhile. | MA HongBo FU XuDong | 2014 | Science China(Technological Sciences)2014，57，10： | 2 |
| 2 | Application of Hausdorff fractal derivative to the determination of the vertical sediment concentration distribution显示文摘The Rouse formula and its variants have been widely used to calculate the steady-state vertical concentration distribution for suspended sediment in steady sediment-laden flows,where the diffusive flux is assumed to be Fickian.Turbulent flow,however,exhibits fractal properties,leading to non-Fickian diffusive flux for sediment particles.To characterize non-Fickian dynamics of suspended sediment,the current study proposes a Hausdorff fractal derivative based advection-dispersion equation(HADE)model,where the Fickian diffusive flux in the Rouse model is replaced by a fractal derivative re-scaled using a constant diffusivity.The order of the Hausdorff fractal derivative is designed to characterize the influence of the multi-fractal turbulence structure on sediment diffusion.Applications show that the HADE model,with the analytical solution expressed using a stretched exponential function,can accurately describe the observed vertical concentration profiles for suspended sediment with different sizes.This improvement well captures the non-exponential decay of the vertical sediment concentration in turbulent flow.Further analyses of measured sediment concentration profiles reveal that the Hausdorff fractal order decreases with the Rouse parameter,which describes the stronger impact of turbulent flow and a more uniform sediment concentration profile for smaller particles.Model comparisons also show that the HADE model provides better performance in describing the sediment concentration profiles than the improved Rouse formula and the standard fractional derivative advection-dispersion equation(FADE),which either under-or over-estimates vertical displacement of sediment particles,likely due to coherent turbulent structures. | Hongguang Sun Shiqian Nie Aaron I.Packman Yong Zhang Dong Chen Chengpeng Lu Chunmiao Zheng | 2023 | International Journal of Sediment Research2023，38，1： | 0 |
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