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Note on the hydrodynamic eigenmodes of Couette flow

Journal Article · · Journal of Statistical Physics; (United States)
OSTI ID:7062009
 [1];  [2]
  1. Rutgers Univ., New Brunswick, NJ (United States)
  2. Rockefeller Univ., New York, NY (United States)

The axisymmetric eigenmodes for the velocity and pressure disturbances in the incompressible Couette flow between two concentric rotating cylinders with no-slip boundary conditions are computed numerically and plotted. As found previously in the narrow-gap approximation as well as for the Rayleigh-Benard system, damped propagating viscous modes are present for wide ranges of parameters. Closed-form solutions for the special case of corotating cylinders show that the time constants for the decay of the eigenmodes then become insensitive to the ratio of the radii of the cylinders.

DOE Contract Number:
FG02-88ER13847
OSTI ID:
7062009
Journal Information:
Journal of Statistical Physics; (United States), Journal Name: Journal of Statistical Physics; (United States) Vol. 69:5-6; ISSN JSTPBS; ISSN 0022-4715
Country of Publication:
United States
Language:
English