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首页> 外文期刊>International journal of non-linear mechanics >A multiphase virtual mass model for debris flow
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A multiphase virtual mass model for debris flow

机译：用于碎片流量的多相虚拟质量模型

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摘要

In a rapidly moving multiphase mass flow, drag and virtual mass forces are important interfacial forces. However, in many existing literatures, virtual mass force has often been ignored or employed empirically. In this contribution, we construct analytical, full and explicit expressions for the virtual mass coefficients in the true three-phase typical debris flow consisting of coarse-solid, fine-solid and fluid. Similar to virtual mass coefficients, three different linear functions are introduced to connect the volume fractions and velocities of three distinct bulks of phases with other three entrapped fields, namely fine-solid entrapped in coarse-solid, and fluid entrapped in coarse-solid and fine-solid. This results in the emergence of three fundamentally different virtual mass forces expressed as analytical functions of phase-fractions, phase-densities, and the capacity of the solid-type material to hold the fluid-type materials in the mixture. Emergence of the virtual mass force coefficients induced enhanced viscosities, phase fractions, drags, viscous stresses and gravity forces of the coarse-solid and fine-solid indicate the further importance of the newly constructed multiphase mass flow model. For different local distributions of the viscous fluid and the fine particle concentrations, the model can be applied to the different flow regimes of the mixture from dilute to dense so as to cover the whole spectrum of the mixture rheology for each phase limit. In our generic model, entrapment coefficients, viscous rheology and drag coefficients can be used according to the nature of the materials involved and the flow situation. The reductions to existing two-phase mass flow models further indicate that the developed model is more generalized than the existing two-phase models. The reduced virtual mass coefficients for two-phases are still more generalized than the existing two-phase models. The simulation results using the new virtual mass coefficient with two different values of the entrapment coefficients reveal dynamically different flow-obstacle-interactions resulting in more phase-separation for the lower value of the entrapment coefficient.
机译：在快速移动的多相质量流量中，阻力和虚拟群体是重要的界面力。然而，在许多现有文献中，虚拟质量武力经常被忽视或经验雇用。在这一贡献中，我们在由粗固，细固和流体组成的真正三相典型碎片流中的虚拟质量系数构建分析，完全和明确表达。类似于虚拟质量系数，引入了三种不同的线性函数，以将三个不同块阶段的体积分数和速度与其他三个夹带的田地连接，即微固体夹在粗固，捕获在粗固且粗糙的流体中-坚硬的。这导致三种从基本不同的虚拟体重力表达为相级分数，相密度和固体型材料的容量，以保持混合物中的流体型材料的分​​析功能。虚拟质量力系数的出现诱导增强粘度，相位分数，拖曳，粘性应力和粗固和细固的重力力，表明新构建的多相质量流量模型的进一步重要性。对于粘性流体和细颗粒浓度的不同局部分布，可以将该模型应用于混合物的不同流动制度从稀释至致密，以覆盖每个相限的混合物流变学的整个光谱。在我们的通用模型中，熵系数，粘性流变学和拖曳系数可以根据所涉及的材料的性质和流动情况使用。对现有的两相质量流量模型的减少进一步表明开发的模型比现有的两相模型更广泛。两个阶段的减小的虚拟质量系数仍然比现有的两相模型更广泛。使用新的虚拟质量系数的仿真结果具有两个不同的熵系数值揭示动态不同的流动 - 交互，从而导致熵系数的较低值的更阶段分离。

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