Convection in a rotating cylindrical annulus. Part 4. Modulations and transition to chaos at low Prandtl numbers

Journal of Fluid Mechanics

Volumn 350, Issue , 1997, Pages 209-229

  Herrmann, J ^a   Busse, F H ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; MODULATION; PRANDTL NUMBER; ROTATIONAL FLOW; STABILITY; WAVE TRANSMISSION;

ANNULUS;

HEAT CONVECTION;

EID: 0031269611     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211209700685X     Document Type: Article

References (15)

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3. BUSSE, F. H. 1970 Thermal instabilities in rapidly rotating systems. J. Fluid Mech. 44, 441-460.
4. BUSSE, F. H. 1986 Asymptotic theory of convection in a rotating, cylindrical annulus. J. Fluid Mech. 173, 545-556.
5. BUSSE, F. H. 1994 Convection driven zonal flows and vortices in the major planets. CHAOS 4, 123-134.
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9. HERRMANN, J. 1996 Untersuchungen zur Konvektion im rotierenden Annulus bei kleinen Prandtlzahlen und bei modulierten Rändern. Dissertation, University of Bayreuth.
10. HERRMANN, J. & BUSSE, F. H. 1994 Time dependent convection induced by centrifugal buoyancy in low Prandtl number fluids. In Nonlinear Coherent Structures in Physics and Biology (ed. K.-H. Spatschek & F. G. Mertens), pp. 401-404. Plenum.
11. NEWELL, A. C. 1974 Envelope equations. Lect. Appl. Maths 15, 157-163.
12. OR, A. C. 1990 New phenomena in the Eckhaus instability of thermal Rossby waves. J. Fluid Mech. 216, 613-628.
13. OR, A. C. & BUSSE, F. H. 1987 Convection in a rotating cylindrical annulus. Part 2. Transitions to asymmetric and vacillating flow. J. Fluid Mech. 174, 313-326.
14. OR, A. C. & HERRMANN, J. 1995 Anomalous sideband instabilities of thermal Rossby waves at low Prandtl numbers. Phys. Fluids A 7, 315-323.
15. SCHNAUBELT, M. & BUSSE, F. H. 1992 Convection in a rotating cylindrical annulus. Part 3. Vacillating and spatially modulated flows. J. Fluid Mech. 245, 155-173.