title: Linear instability in Rayleigh-stable Taylor-Couette flow.
abstract: Rayleigh's stability criterion describes the inviscid stability of rotating fluid flows. Despite the limitations of the criterion due to the assumptions used, it has been widely viewed as a general stability barrier in various rapidly rotating flows. However, contrary to previous belief, a linear instability is identified in Rayleigh-stable Taylor-Couette flow. The instability is found in cyclonic rapid rotation regime, for almost the entire range of the radius ratio of the cylinders.
authors.affiliation: School of Mathematical Sciences, Monash University, VIC 3800, Australia.
authors.forename: Kengo
authors.initials: K
authors.lastname: Deguchi