Poniatowski Luka G, Tevzadze Alexander G
Faculty of Exact and Natural Sciences, Tbilisi State University, 3 Chavchavadze Ave., Tbilisi 0179, Georgia and Abastumani Astrophysical Observatory, Ilia State University, 2 G. Tsereteli Str., Tbilisi 0162, Georgia.
Phys Rev E. 2017 Jul;96(1-1):010901. doi: 10.1103/PhysRevE.96.010901. Epub 2017 Jul 17.
The linear stability of viscous Keplerian flow around a gravitating center is studied using the rheological granular fluid model. The linear rheological instability triggered by the interplay of the shear rheology and Keplerian differential rotation of incompressible dense granular fluids is found. Instability sets in in granular fluids, where the viscosity parameter grows faster than the square of the local shear rate (strain rate) at constant pressure. Found instability can play a crucial role in the dynamics of dense planetary rings and granular flows in protoplanetary disks.
利用流变学颗粒流体模型研究了围绕引力中心的粘性开普勒流的线性稳定性。发现了由不可压缩致密颗粒流体的剪切流变学和开普勒差动旋转相互作用引发的线性流变不稳定性。在颗粒流体中会出现不稳定性，在这种流体中，在恒压下粘度参数的增长速度比局部剪切速率（应变率）的平方更快。所发现的不稳定性在致密行星环和原行星盘中颗粒流的动力学中可能起关键作用。
