Abstract Modeling segregation of size disperse granular materials during hopper discharge is important as hoppers are widely used in various industries. However, due to the complexity of segregation and hopper discharge flows, accurately modeling this process has been challenging. In this study, we apply a continuum transport model to predict segregation of size bidisperse granular material during the discharge of quasi-2D hoppers. We apply Discrete Element Method (DEM) simulations to reveal that segregation occurs mainly in a surface layer where particles are transported from the sidewalls to the hopper center. Velocity profiles are also developed based on a kinematic model and DEM data. The continuum model, which captures the interplay of advection, diffusion, and segregation, is then applied to predict the particle concentration distribution in the surface layer and the bulk. The continuum model accurately predicts the segregation pattern inside the hopper during discharge and the concentration profile of the discharged materials, in agreement with DEM simulations and experiments.

中文翻译：

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料斗卸料过程中颗粒分离的连续模型

摘要 由于料斗被广泛应用于各个行业，因此在料斗卸料过程中对粒度分散颗粒材料的分离进行建模很重要。然而，由于分离和料斗排放流的复杂性，准确地模拟这一过程一直具有挑战性。在这项研究中，我们应用连续传输模型来预测准二维料斗卸料过程中大小双分散颗粒材料的分离。我们应用离散元方法 (DEM) 模拟来揭示分离主要发生在表面层，在那里颗粒从侧壁传输到料斗中心。速度剖面也是基于运动学模型和 DEM 数据开发的。连续模型，它捕捉对流、扩散和分离的相互作用，然后应用于预测表面层和主体中的粒子浓度分布。连续模型准确预测卸料期间料斗内的分离模式和卸料的浓度分布，与 DEM 模拟和实验一致。