Smoothed particle hydrodynamics modelling of particle-size segregation in granular flows

作者：Chengwei Zhu, Chong Peng, Wei Wu · 发表于：Journal of Fluid Mechanics · 年份：2023 · DOI：10.1017/jfm.2023.995 · 被引用次数：5 · 研究领域：Fluid Dynamics Simulations and Interactions、Granular flow and fluidized beds、Lattice Boltzmann Simulation Studies

In this work, smoothed particle hydrodynamics (SPH) is employed to investigate the segregation evolution in granular flows. We first provide the Lagrangian description-based governing equations, including the linear momentum conservation and the segregation–diffusion equation. Then the hybrid continuum surface reaction scheme is introduced to formulate the concentration-related inhomogeneous Neumann boundary condition on the free and wall surfaces. We follow a two-stage strategy to advance boundary particle searching and normal direction identification. Moreover, $C^1$ consistency is considered based on the Taylor series to obtain accurate segregation flux gradient along the boundary. Our SPH model is validated with a shear box experiment. The model is then applied to investigate the segregation mechanism in bidisperse-sized granular flows in a rotating drum.