Azimuthal velocity profiles in Rayleigh-stable Taylor-Couette flow and implied axial angular momentum transport

作者:Nordsiek Freja; Huisman Sander G; van der Veen Roeland C A; Sun Chao*; Lohse Detlef; Lathrop Daniel P
来源:Journal of Fluid Mechanics, 2015, 774: 342-362.
DOI:10.1017/jfm.2015.275

摘要

We present azimuthal velocity profiles measured in a Taylor-Couette apparatus, which has been used as a model of stellar and planetary accretion disks. The apparatus has a cylinder radius ratio of eta = 0.716, an aspect ratio of Gamma = 11.74, and the plates closing the cylinders in the axial direction are attached to the outer cylinder. We investigate angular momentum transport and Ekman pumping in the Rayleigh-stable regime. This regime is linearly stable and is characterized by radially increasing specific angular momentum. We present several Rayleigh-stable profiles for shear Reynolds numbers Re-S similar to O(10(5)), for both Omega(i) > Omega(o) > 0 (quasi-Keplerian regime) and Omega(o) > Omega(i) > 0 (sub-rotating regime), where Omega(i),(o) is the inner/outer cylinder rotation rate. None of the velocity profiles match the non-vortical laminar Taylor-Couette profile. The deviation from that profile increases as solid-body rotation is approached at fixed ReS. Flow super-rotation, an angular velocity greater than those of both cylinders, is observed in the sub-rotating regime. The velocity profiles give lower bounds for the torques required to rotate the inner cylinder that are larger than the torques for the case of laminar Taylor-Couette flow. The quasi-Keplerian profiles are composed of a well-mixed inner region, having approximately constant angular momentum, connected to an outer region in solid-body rotation with the outer cylinder and attached axial boundaries. These regions suggest that the angular momentum is transported axially to the axial boundaries. Therefore, Taylor-Couette flow with closing plates attached to the outer cylinder is an imperfect model for accretion disk flows, especially with regard to their stability.

  • 出版日期2015-7