Bulletin of the American Physical Society
69th Annual Meeting of the APS Division of Fluid Dynamics
Volume 61, Number 20
Sunday–Tuesday, November 20–22, 2016; Portland, Oregon
Session D13: Geophysical Fluid Dynamics: Rotating Stratified Flows
2:57 PM–5:07 PM,
Sunday, November 20, 2016
Sponsoring Units: DFD GPC
Chair: Monica Martinez, University of California - Riverside
Abstract ID: BAPS.2016.DFD.D13.8
Abstract: D13.00008 : Observations of Instabilities in Stratified Taylor-Couette Flow*
4:28 PM–4:41 PM
Preview Abstract Abstract
Harry L. Swinney
(Center for Nonlinear Dynamics and Department of Physics, University of Texas at Austin)
Inviscid analyses by Molemaker et al. (Phys. Rev. Lett. 86, 5270, 2001) and by Dubrulle et al. (Astron. Astrophys. 29, 1, 2005) predicted that a fluid with a vertically varying density will be less stable than a uniform fluid when the fluid is contained inside a concentric rotating cylinder system and subject to anticyclonic shear. Dubrulle et al. named this instability the stratorotational instability and a subsequent viscous theory by Shalybkov and Rudiger (Astron. Astrophys. 438, 411, 2005) hypothesized that such stratified flow is stable when the ratio of outer and inner cylinder rotation rates $\mu$ is less than the ratio of the inner and outer cylinder radii $\eta$. Le Bars and Le Gal (Phys. Rev. Lett. 99, 064502, 2007) confirmed this hypothesis in experiments for $Re<1200$ with $Re\equiv (r_o-r_i)\Omega_i r_i/\nu$. However, we find the SRI exists for $\mu>\eta$ when the density gradient is large. We also find that the axial wavelength scales linearly with the internal Froude number and that the onset of the SRI is suppressed for $Re>4000$, a region previously unexplored in experiments. For $Re>8000$, we find that the fluid does not exhibit the SRI but transitions to a spatially nonperiodic state that mixes the fluid.
*This research was supported in part by the Sid W. Richardson Foundation.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2016.DFD.D13.8
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