Instability modes of viscoelastic Taylor–Couette flow in the Keplerian regime are investigated using both linear stability analysis and experimental detection of critical states. A generalised Rayleigh criterion has been derived and it allows to separate the zone of potential purely elastic instability modes and the zone of stability. The analogy between the instability of viscoelastic Taylor–Couette flow in the Keplerian regime and the magnetorotational instability (MRI) of conducting magnetic fluids is established. Viscoelastic stress tensor can be represented by a tensor product of magnetic-like vectors. This allows to use the Velikhov-Chandrasekhar criterion of the MRI to predict the elasto-rotational instability (ERI). ERI modes obtained in linear stability and in the experiments are assumed to represent the MRI analogue modes as they are observed in the stable zone according to generalised Rayleigh discriminant.

使用线性稳定性分析和临界状态的实验检测，研究了Keplerian态下的粘弹性Taylor-Couette流动的不稳定性模式。推导了一个通用的瑞利准则，它可以将潜在的纯弹性不稳定模式区域和稳定区域分开。建立了在开普勒斯状态下的粘弹性泰勒-库埃特流的不稳定性与导电磁流体的磁旋转不稳定性（MRI）之间的类比。粘弹性应力张量可以由类磁性矢量的张量积表示。这允许使用MRI的Velikhov-Chandrasekhar标准来预测弹性旋转不稳定性（ERI）。