Measurement of angular momentum transport in turbulent flow between independently rotating cylinders

We present measurements of the angular momentum flux (torque) in Taylor-Couette flow of water between independently rotating cylinders for all regions of the $\(Ω_1, Ω_2\)$ parameter space at high Reynolds numbers, where $Ω_1$ $\(Ω_2\)$ is the inner (outer) cylinder angular velocity. We find that the Rossby number $Ro = \(Ω_1 - Ω_2\)/Ω_2$ fully determines the state and torque $G$ as compared to $G(Ro = \infty) \equiv \Gi$. The ratio $G/\Gi$ is a linear function of $Ro^{-1}$ in four sections of the parameter space. For flows with radially-increasing angular momentum, our measured torques greatly exceed those of previous experiments [Ji \textit{et al.}, Nature, \textbf{444}, 343 (2006)], but agree with the analysis of Richard and Zahn [Astron. Astrophys., \textbf{347}, 734 (1999)].

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