Travelling circular waves in axisymmetric rotating convection

Journal of Fluid Mechanics

Volumn 569, Issue , 2006, Pages 331-348

  Lopez, J M ^a   Rubio, A ^a   Marques, F ^b  

^a ARIZONA STATE UNIVERSITY   (United States)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; CYLINDERS (SHAPES); HEAT CONVECTION; PRANDTL NUMBER;

AXISYMMETRIC ROTATING CONVECTION; FINITE ROTATING CYLINDER; RAYLEIGH-BENARD CONVECTION; TRAVELLING CIRCULAR WAVES;

WATER WAVES;

ASPECT RATIO; CYLINDERS (SHAPES); HEAT CONVECTION; PRANDTL NUMBER; WATER WAVES;

CONVECTION; PLUME; ROTATING FLOW;

EID: 33751055327     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006003077     Document Type: Article

References (32)

1. Bajaj, K. M. S., Liu, J., Naberhuis, B. & Ahlers, G. 1998 Square patterns in Rayleigh-Bénard convection with rotation about a vertical axis. Phys. Rev. Lett. 81, 806-809.
2. Barcilon, V. & Pedlosky, J. 1967 On the steady motions produced by a stable stratification in a rapidly rotating fluid. J. Fluid Mech. 29, 673-690.
3. Benjamin, T. B. 1978a Bifurcation phenomena in steady flows of a viscous fluid. I. Theory. Proc. R. Soc. Lond. A 359, 1-26.
4. Benjamin, T. B. 1978b Bifurcation phenomena in steady flows of a viscous fluid. II. Experiments. Proc. R. Soc. Lond. A 359, 27-43.
5. Benjamin, T. B. & Mullin, T. 1981 Anomalous modes in the Taylor experiment. Proc. R. Soc. Lond. A 377, 221-249.
6. Bodenschatz, E., Pesch, W. & Ahlers, G. 2000 Recent developments in Rayleigh-Bénard convection. Annu. Rev. Fluid Mech. 32, 709-778.
7. Brummell, N., Hart, J. E. & Lopez, J. M. 2000 On the flow induced by centrifugal buoyancy in a differentially-heated rotating cylinder. Theor. Comput. Fluid Dyn. 14, 39-54.
8. Buell, J. C. & Catton, I. 1983 Effect of rotation on the stability of a bounded cylindrical layer of fluid heated from below. Phys. Fluids 26, 892-896.
9. Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
10. Daniels, P. G. 1980 The effect of centrifugal acceleration on axisymmetric convection in a shallow rotating cylinder or annulus. J. Fluid Mech. 99, 65-84.
11. Goldstein, H. F., Knobloch, E., Mercader, I. & Net, M. 1993 Convection in a rotating cylinder. Part 1. Linear theory for moderate Prandtl numbers. J. Fluid Mech. 248, 583-604.
12. Hart, J. E. 2000 On the influence of centrifugal buoyancy on rotating convection. J. Fluid Mech. 403, 133-151.
13. Homsy, G. M. & Hudson, J. L. 1969 Centrifugally driven thermal convection in a rotating cylinder. J. Fluid Mech. 35, 33-52.
14. Hu, Y., Ecke, R. & Ahlers, G. 1993 Convection near threshold for Prandtl numbers near 1. Phys. Rev. E 48, 4399-4413.
15. Knobloch, E. 1998 Rotating convection: Recent developments. Intl J. Engng Sci. 36, 1421-1450.
16. Koschmieder, E. L. 1967 On convection on a uniformly heated rotating plane. Beitr. Physik. Atmos. 40, 216-225.
17. Koschmieder, E. L. 1968 Convection on a non-uniformly heated, rotating plane. J. Fluid Mech. 33, 515-527.
18. Koschmieder, E. L. 1993 Bénard Cells and Taylor Vortices. Cambridge University Press.
19. Küppers, G. & Lortz, D. 1969 Transition from laminar convection to thermal turbulence in a rotating fluid layer. J. Fluid Mech. 35, 609-620.
20. Liu, Y. & Ecke, R. E. 2002 Nonlinear travelling waves in rotating Rayleigh-Bénard convection: Stability boundaries and phase diffusion. Phys. Rev. E 59, 4091-4105.
21. Ning, L. & Ecke, R. E. 1993 Rotating Rayleigh-Bénard convection: Aspect-ratio dependence of the initial bifurcations. Phys. Rev. E 47, 3326-3333.
22. Pfotenhauer, J. M., Niemela, J. J. & Donnelly, R. J. 1987 Stability and heat transfer of rotating cryogens. Part 3. Effects of finite cylindrical geometry and rotation on the onset of convection. J. Fluid Mech. 175, 85-96.
23. Rossby, H. T. 1969 A study of Benard convection with and without rotation. J. Fluid Mech. 36, 309-335.
24. Royer, J. R., O'Neill, P., Becker, N. & Ahlers, G. 2004 Wave-number selection by target patterns and sidewalls in Rayleigh-Bénard convection. Phys. Rev. E 70, 036313.
25. Rüdiger, S. & Knobloch, E. 2003 Mode interaction in rotating Rayleigh-Bénard convection. Fluid Dyn. Res. 33, 477-492.
26. Sánchez-Álvarez, J. J., Serre, E., Crespo del Arco, E. & Busse, F. H. 2005 Square patterns in rotating Rayleigh-Bénard convection. Phys. Rev. E 72, 036307.
27. Siggers, J. H. 2003 Dynamics of target patterns in low-Prandtl-number convection. J. Fluid Mech. 475, 357-375.
28. Thompson, K. L., Bajaj, K. M. S. & Ahlers, G. 2002 Travelling concentric-roll patterns in Rayleigh-Bénard convection with modulated rotation. Phys. Rev. E 65, 04618.
29. Tuckerman, L. S. & Barkley, D. 1988 Global bifurcation to travelling waves in axisymmetric convection. Phys. Rev. Lett. 61, 408-411.
30. Veronis, G. 1959 Cellular convection with finite amplitude in a rotating fluid. J. Fluid Mech. 5, 401-435.
31. Zhong, F., Ecke, R. & Steinberg, V. 1991 Asymmetric modes and the transition to vortex structures in rotating Rayleigh-Bénard convection. Phys. Rev. Lett. 67, 2473-2476.
32. Zhong, F., Ecke, R. & Steinberg, V. 1993 Rotating Rayleigh-Bénard convection: Asymmetric modes and vortex states. J. Fluid Mech. 249, 135-159.