On the initial-value problem in a rotating circular cylinder

Journal of Fluid Mechanics

Volumn 610, Issue , 2008, Pages 425-443

  Zhang, Keke ^a   Liao, Xinhao ^b  

^a UNIVERSITY OF EXETER   (United Kingdom)

^b CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCULAR CYLINDERS; NUMERICAL MODELS;

ASYMPTOTIC EXPRESSIONS; ASYMPTOTIC SOLUTIONS; DECAY FACTOR; EKMAN NUMBERS; QUANTITATIVE AGREEMENT; ROTATING CIRCULAR CYLINDERS; TIME DEPENDENT; TIME-DEPENDENT SOLUTIONS;

INITIAL VALUE PROBLEMS;

CYLINDER; EKMAN LAYER; ESTIMATION METHOD; NUMERICAL MODEL; QUANTITATIVE ANALYSIS; ROTATING FLOW; VISCOUS FLOW;

EID: 53249105824     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008002711     Document Type: Article

References (16)

1. ALDRIDGE, K. D. & STERGIOPOULOS, S. 1991 A technique for direct measurement of time-dependent complex eigenfrequencies of waves in fluids. Phys. Fluids A 3, 316-327.
2. AURNOU, J. M. & OLSON, P. L. 2001 Experiments on Rayleigh-Bénard convection, magneto-convection and rotating magnetoconvection in liquid gallium. J. Fluid Mech. 430, 283-307.
3. FULTZ, D. 1959 A note on overstability, and the elastoid-inertia oscillations of Kelvin, Solberg and Bjerknes. J. Met. 16, 199-208.
4. GANS, R. F. 1970 On the precession of a resonant cylinder. J. Fluid Mech. 41, 865-872.
5. GREENSPAN, H. P. 1964 On the transient motion of a contained rotating fluid. J. Fluid Mech. 21, 147-154.
6. GREENSPAN, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
7. HOLLERBACH, R. & KERSWELL, R. R. 1995 Oscillatory internal shear layers in rotating and precessing flows. J. Fluid Mech. 298, 327-339.
8. KELVIN, LORD 1880 Vibrations of a columnar vortex. Phil. Mag. 10, 155-168.
9. KERSWELL, R. R. 1999 Secondary instabilities in rapidly rotating fluids: Inertial wave breakdown. J. Fluid Mech. 382, 283-306.
10. KERSWELL, R. R. & BARENGHI, C. F. 1995 On the viscous decay-rates of inertial waves in rotating circular cylinder. J. Fluid Mech. 285, 215-247.
11. KUDLICK, M. D. 1966 On transient motions in a contained, rotating fluid. PhD Thesis, Mathematics Department MIT, USA.
12. MALKUS, W. V. R. 1989 An experimental study of the global instabilities due to the tidal (elliptical) distortion of a rotating elastic cylinder. Geophys. Astrophys. Fluid Dyn. 48, 123-134.
13. MANASSEH, R. 1992 Breakdown regimes of inertia waves in a precessing cylinder. J. Fluid Mech. 243, 261-296.
14. MARQUÉS, F. 1990 On boundary conditions for velocity potentials in confined flows: Application to Couette flow. Phys. Fluids A 2, 729-737.
15. WEDEMEYER, E. H. 1966 Viscous corrections to Stewartson's stability criterion. BRL Rep. 1325 US Army Ballistic Research Laboratory, Aberdeen Proving Ground, Maryland AD489687.
16. ZHANG, K., LIAO, X. & BUSSE, F. H. 2007 Asymptotic theory of inertial convection in a rotating cylinder. J. Fluid Mech. 575 449-471.