Experimental analysis of the stratorotational instability in a cylindrical Couette flow.

This study is devoted to the experimental analysis of the stratorotational instability (SRI). This instability affects the classical cylindrical Couette flow when the fluid is stably stratified in the axial direction. In agreement with recent theoretical and numerical analyses, we describe for the first time in detail the destabilization of the stratified flow below the Rayleigh line (i.e., the stability threshold without stratification). We confirm that the unstable modes of the SRI are nonaxisymmetric, oscillatory, and take place as soon as the azimuthal linear velocity decreases along the radial direction. This new instability is relevant for accretion disks.

[1]  C. F. Chen,et al.  An experimental study of Couette instability of stratified fluids , 1974, Journal of Fluid Mechanics.

[2]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[3]  I. Yavneh,et al.  Non-axisymmetric instability of centrifugally stable stratified Taylor–Couette flow , 2001, Journal of Fluid Mechanics.

[4]  Harry L. Swinney,et al.  Flow regimes in a circular Couette system with independently rotating cylinders , 1986, Journal of Fluid Mechanics.

[5]  Magnetoelliptic Instabilities , 2004, astro-ph/0403316.

[6]  P. Orlandi,et al.  FIRST TRANSITIONS IN CIRCULAR COUETTE FLOW WITH AXIAL STRATIFICATION , 1997 .

[7]  T. Malanyuk.  Finite-gap solutions of the Davey-Stewartson equations , 1994 .

[8]  Sahai,et al.  164 , 1996, Neurobiology of Aging.

[9]  B. Dubrulle,et al.  A hydrodynamic shear instability in stratified disks , 2004, astro-ph/0410224.

[10]  B. Dubrulle,et al.  Stability and turbulent transport in Taylor-Couette flow from analysis of experimental data , 2005 .

[11]  G. Rüdiger,et al.  Non-axisymmetric instability of density-stratified Taylor-Couette flow , 2005 .

[12]  G. Ruediger,et al.  Stability of density-stratified viscous Taylor-Couette flows , 2005, astro-ph/0501154.

[13]  J. Hawley,et al.  Instability, turbulence, and enhanced transport in accretion disks , 1997 .

[14]  E. Hopfinger,et al.  Stability and bifurcations in stratified Taylor–Couette flow , 2000, Journal of Fluid Mechanics.

[15]  B. Boubnov.  Stratified circular Couette flow: instability and flow regimes , 1995, Journal of Fluid Mechanics.

[16]  I. Yavneh,et al.  Instability and equilibration of centrifugally stable stratified Taylor-Couette flow. , 2001, Physical review letters.