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双组分颗粒坍塌分离过程的欧拉多相流模型

EULERIAN MULTIPHASE FLOW SIMULATION OF BIDISPERSE GRANULAR COLLAPSE SEGREGATION

  • 摘要: 颗粒坍塌(如滑坡)是一类典型的重力驱动颗粒流动过程, 对基础设施安全与生态环境稳定构成严重威胁. 其失稳流动与沉积特征受粒径级配的影响显著, 尤其在多组分颗粒混合物中常伴随明显的颗粒分离现象. 然而, 粒径差异条件下颗粒碰撞、摩擦及流体耦合作用的内在力学机制尚缺乏系统刻画. 为此, 本文建立了描述双组分颗粒坍塌过程的欧拉多相流数值模型. 该模型的主要特点在于多组分颗粒的本构关系: 考虑了多组分颗粒相互作用, 基于动理学理论考虑各向异性完善了颗粒碰撞应力, 基于流变学理论推导了体现剪胀剪缩效应的颗粒摩擦应力, 并在颗粒碰撞与摩擦应力中考虑了间隙流体的影响. 通过开展单组分与双组分颗粒坍塌实验验证数值模型, 显示模拟结果在堆积形态、最大前端距离及颗粒分离现象方面均与实验数据吻合较好. 进一步分析表明, 随着初始颗粒柱高长比的增大, 颗粒坍塌最大前端距离显著增加, 颗粒分离现象更为明显; 剪胀剪缩效应与颗粒碰撞作用对颗粒坍塌分离过程具有重要影响. 本研究构建的多组分多相流数值模型可作为颗粒流灾害机理及减灾工程设计的一种工具.

     

    Abstract: Granular column collapse, a representative process of geophysical flows such as landslides and debris flows, presents significant risks to infrastructure and ecological systems. The dynamics of these flows, including their initiation, propagation, and final deposition are governed by particle size distribution. However, a comprehensive understanding of the intrinsic mechanical controls, particularly for polydisperse systems, remains an open research challenge. This paper presents an Eulerian multiphase model to simulate the bidisperse granular collapse. The model incorporates an advanced anisotropic kinetic theory for granular flows, combined with a derived frictional rheology that explicitly accounts for dilatancy and contraction effects. Crucially, the constitutive model for the granular phase incorporates the influence of interstitial fluid on both collisional and frictional stress. The employed drag force encompasses mechanisms covering dilute to dense particle concentrations. Additionally, a turbulence model capable of resolving density stratification effect is introduced to accurately capture the interaction between the granular material and the fluid. The numerical model is validated against laboratory experiments of monodisperse and bidisperse granular collapses. The simulations show excellent agreement with experimental measurements across key variables: the final deposit morphology, the total runout distance, and particle segregation during the collapse of bidisperse granular column. This study highlights that the initial aspect ratio governs the granular segregation process: an increase in this results in a significantly longer total runout distance and notably intensifies particle segregation during flow. Furthermore, the analysis identifies that the interplay between dilatancy/contraction and particle collisions is a fundamental mechanism governing the flow dynamics and the resulting particle segregation patterns. The adopted frictional viscosity model in this study integrates shear effects with dilatancy/contraction behavior, enabling a more rational characterization of the frictional stresses between coarse and fine particles during collapse. Consequently, it significantly outperforms traditional frictional models that neglect these effects in predicting deposit morphology and the position of segregation interfaces. The numerical model developed in this study provides a reliable theoretical tool for revealing the mechanism of granular flow disasters and designing disaster mitigation projects.

     

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