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 \(\Omega_1, \Omega_2\) parameter space at high Reynolds numbers, where ${\mathrm{\Omega }}_1$ \(\Omega_2\) is the inner (outer) cylinder angular velocity. We find that the Rossby number $Ro = (\Omega_1 - \Omega_2)/\Omega_2$fullydeterminesthestateandtorque$G$ascomparedto$G(Ro = \infty) \equiv \Gi$\mathrm{.}Theratio$G/\Gi$isalinearfunctionof$Ro^{-1}$ in four sections of the parameter space. For flows with radially-increasing angular momentum, our measured torques greatly exceed those of previous experiments [Ji $\mathit{\text{et}}\mathit{\text{al.}}$, Nature, $\mathbf{\text{444}}$, 343 (2006)], but agree with the analysis of Richard and Zahn [Astron. Astrophys., $\mathbf{\text{347}}$, 734 (1999)].