Angular momentum transport and turbulence in laboratory models of Keplerian flows

Abstract

We present angular momentum transport (torque) measurements in two recent experimental studies of the turbulent flow between independently rotating cylinders. In addition to these studies, we reanalyze prior torque measurements to expand the range of control parameters for the experimental Taylor-Couette flows. We find that the torque may be described as a product of functions that depend only on the Reynolds number, which describes the turbulent driving intensity, and the rotation number, which characterizes the effects of global rotation. For a given Reynolds number, the global angular momentum transport for Keplerian-like flow profiles is approximately 14% of the maximum achievable transport rate. We estimate that this level of transport would produce an accretion rate of $\dot{M}/\dot{M_0}\sim 10^{-3}$ in astrophysical disks. We argue that this level of transport from hydrodynamics alone could be significant.

17 pages, 7 figures, 2 tables, submitted to Astronomy & Astrophysics (2011)

References in corpus (7)

• Accretion disc viscosity: how big is alpha?
• Hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks
• MHD simulations of the magnetorotational instability in a shearing box with zero net flux. I. The issue of convergence
• Stability and angular-momentum transport of fluid flows between corotating cylinders
• Ultimate Turbulent Taylor-Couette Flow
• Optimal Taylor-Couette turbulence
• On the viability of the shearing box approximation for numerical studies of MHD turbulence in accretion disks

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