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arXiv 0707.0872cond-mat.soft
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稠密剪切颗粒流中流固共存的流体动力学

Hydrodynamics of fluid-solid coexistence in dense shear granular flow

Evgeniy Khain

摘要:

本文研究非弹性碰撞硬盘的稠密快速剪切流。Navier-Stokes颗粒流体动力学的应用占最近的发现\cite{Luding,Khain},剪切粘度发散在一个较低的密度比其余的本构关系。提出了一种新的稀密本构关系插值公式,并在分子动力学(MD)模拟中进行了验证。对均匀剪切流进行了线性稳定性分析,并给出了完整的相图。结果表明,当颗粒碰撞的非弹性变得足够大时,均匀剪切流让位于两相流,在两相流中,一个密集的“类固体”条纹簇被两个流体层包围。在事件驱动的MD模拟的分析结果进行了验证,并观察到一个很好的协议。

英文摘要:

We consider dense rapid shear flow of inelastically colliding hard disks. Navier-Stokes granular hydrodynamics is applied accounting for the recent finding \cite{Luding,Khain} that shear viscosity diverges at a lower density than the rest of constitutive relations. New interpolation formulas for constitutive relations between dilute and dense cases are proposed and justified in molecular dynamics (MD) simulations. A linear stability analysis of the uniform shear flow is performed and the full phase diagram is presented. It is shown that when the inelasticity of particle collision becomes large enough, the uniform sheared flow gives way to a two-phase flow, where a dense "solid-like" striped cluster is surrounded by two fluid layers. The results of the analysis are verified in event-driven MD simulations, and a good agreement is observed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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