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In this work, we numerically investigate flow instabilities of inertialesscircular Couette flow of dilute wormlike micelle solutions. Using thereformulated reactive rod model (RRM-R) [Hommel and Graham, JNNFM 295 (2021)104606], which treats micelles as rigid Brownian rods undergoing reversiblescission and fusion in flow, we study the development and behavior of bothvorticity banding and finger-like instabilities. In particular, we focus onsolutions that exhibit reentrant constitutive curves, in which there existssome region where the shear stress, $\tau$, has a multivalued relation to shearrate, $\dot{\gamma}$. We find that the radial dependence of the shear stress incircular Couette flow allows for solutions in which parts of the domain lie inthe region of the flow curve where $\partial \tau /\partial \dot{\gamma} > 0$,while others lie in the region where $\partial \tau /\partial \dot{\gamma} <0$; this mixed behavior can lead to complex flow instabilities that manifest asfinger-like structures of elongated and anisotropically-oriented micelles. In3D simulations we find that the initial instability is 2D in origin, and 3Dfinger-like structures arise through the axial instability of 2D sheets.Finally, we show that the RRM-R can capture vorticity banding in narrow-gapcircular Couette flow and that vorticity bands are linearly stable toperturbations.

Flow instabilities in circular Couette flow of wormlike micelle solutions with a reentrant flow curve