arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1505.04076cond-mat.soft
收藏

剪切流中粘性颗粒流的流体不稳定性

Hydrodynamic instabilities in shear flows of cohesive granular particles

University of Twente(特温特大学);Yukawa Institute for Theoretical Physics, Kyoto University(京都大学汤川理论物理研究所)

Kuniyasu Saitoh, Satoshi Takada, Hisao Hayakawa

AI总结:

本文通过扩展动态范德瓦尔斯模型,研究了粘性颗粒流在平面剪切下的流体不稳定性,发现密度不均匀结构由体积分数、剪切速率和非弹性决定。

摘要:

我们扩展了A.Onuki于2005年提出的动态范德瓦尔斯模型,以描述粘性颗粒流在平面剪切下的情况,以研究其流体不稳定性。通过数值求解动态范德瓦尔斯模型,我们观察到稳态下密度的各种不均匀结构,其中粘性加热与由非弹性碰撞引起的能量耗散达到平衡。基于线性稳定性分析,我们发现空间结构由平均体积分数、施加的剪切速率和非弹性决定,其中当系统热力学不稳定时,即压力p和体积分数ϕ满足∂p/∂ϕ<0时会触发不稳定性。

英文摘要:

We extend the dynamic van der Waals model introduced by A. Onuki [Phys. Rev. Lett. 94, 054501 (2005)] to the description of cohesive granular flows under a plane shear to study their hydrodynamic instabilities. Numerically solving the dynamic van der Waals model, we observe various heterogeneous structures of the density in steady states, where the viscous heating is balanced with the energy dissipation caused by inelastic collisions. Based on the linear stability analysis, we find that the spatial structures are determined by the mean volume fraction, the applied shear rate, and the inelasticity, where the instability is triggered if the system is thermodynamically unstable, i.e. the pressure, $p$, and the volume fraction, $ϕ$, satisfy $\partial p/\partialϕ<0$.

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。

↑