Multiphase models of granular materials

颗粒材料通常由不同尺寸的颗粒组成，并且可能含有间隙液，这进一步增加了其行为的复杂性。该项目将开发新的数学模型来描述流动动力学以及颗粒在流动过程中被剪切时可能发生的粒度偏析和相分离。可以预见，新形式的波将在这样的系统中发展，其将具有不同流体饱和度和/或粒度的演变区域。将进行简单的小规模实验，以调查波的发展，这些将被用来帮助推动理论的发展，这将建立在μ（I）颗粒材料的流变学。在可能的情况下，将开发简化的深度平均模型，以构建行波型解决方案。因此，该项目将提高我们对多相颗粒材料的理解，其中不断变化的颗粒尺寸分布和流体饱和度对整体流动动力学具有强烈的反馈。

Granular materials are usually composed of grains of different sizes and may contain interstitial fluid that adds further complexity to their behavior. This project will develop new mathematical models to describe the flow dynamics as well as the particle-size segregation and phase separation that can occur as the grains are sheared during flow. It is anticipated that new forms of waves will develop in such systems, which will have evolving regions with different fluid saturation and/or grain size. Simple small-scale experiments will be performed to investigate what waves develop, and these will be used to help motivate the development of the theory, which will build on the mu(I) rheology for granular materials. Where possible, simplified depth-averaged models will be developed to construct travelling-wave-type solutions. This project will therefore enhance our understanding of multiphase granular materials in which the evolving particle-size distribution and fluid saturation have strong feedbacks on the bulk flow dynamics.