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

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

2010-11-15

arxiv.org/abs/1011.3475v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, to appear in Physical Review Letters

Scientific paper

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 $\Omega_1$ $\(\Omega_2\)$ is the inner (outer) cylinder angular velocity. We find that the Rossby number $Ro = \(\Omega_1 - \Omega_2\)/\Omega_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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