“…Taylor–Couette flow occurs between two concentric cylinders, one or both of which is rotating, and has been of interest to the fluids community, rheologists, process engineers and mathematicians over the past century (Taylor 1923; Donnelly 1991). This is in part motivated by the fact that, in spite of its simple configuration, Taylor–Couette flow of Newtonian fluids can yield a vast array of complex dynamics, including a wide variety of steady and unsteady flow states (Coles 1965; Andereck, Liu & Swinney 1986), mode competition (Dutcher & Muller 2009), chaos (Akonur & Lueptow 2003) and transition to turbulence (Grossmann, Lohse & Sun 2016; Gul, Elsinga & Westerweel 2018). In the relatively simple case in which the outer cylinder is fixed, the system can be characterised using only the Reynolds number where and are the fluid density and dynamic viscosity, respectively, is the rotation speed, are the radius of the inner cylinder, and is the gap between the inner and outer cylinder radii ().…”