Asymptotic theory of convection in a rotating, cylindrical annulus

Journal of Fluid Mechanics

Volumn 173, Issue , 1986, Pages 545-556

  Busse, F H ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS; FLOW OF FLUIDS - ROTATING; MATHEMATICAL MODELS;

ASYMPTOTIC THEORY; CYLINDRICAL ANNULUS; ROSSBY WAVES; VACILLATING SOLUTIONS;

HEAT TRANSFER;

EID: 0022894077     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211208600126X     Document Type: Article

References (16)

1. Azouni, M. A., Bolton. E. W. & Busse, F. H. 1986 Convection driven by centrifugal buoyancy in a rotating annulus. Geophys. Astrophys. Fluid Dyn. 34, 301–307.
2. Busse, F. H. 1970 Thermal instabilities in rapidly rotating systems. J. Fluid Mech. 44, 441–460.
3. Busse, F. H. 1981 Do Eddington-Sweet circulations exist? Geophys, Astrophys. Fluid Dyn. 17, 215–235.
4. Busse, F. H. 1982 Thermal convection in rotating systems. In Proc. 9th US National Congress of Applied Mechanics, pp. 299–305. American Society of Mechanical Engineers, New York, NY.
5. Busse, F. H. 1983a A model of mean zonal flow in the major planets. Geophys. Astrophys. Fluid Dyn. 23, 153–174.
6. Busse, F. H. 1983b Convection-driven zonal flows in the major planets. PAGEOPH, 121, 375–390.
7. Busse, F. H. & Or, A. C. 1986a Convection in a rotating cylindrical annulus: thermal Rossby waves. J. Fluid Mech. 166, 173–187.
8. Busse, F. H. & Or, A. C. 1986; Subharmonic and asymmetric convection rolls. Z. angew. Math. Phys. 37, 608–623.
9. Eltayeb, I. A. 1981 Propagation and stability of wave motions in rotating magnetic systems. Phys. Earth Planet. Int. 24, 259–271.
10. Glatzmaier, G. A. & Gilman, P. A. 1981 Compressible convection in a rotating spherical shell. III. Analytic model for compressible vorticity waves. Astrophys. J. Suppl. 45, 381–388.
11. Gough, D. O. 1969 The anelastic approximation for thermal convection. J. Atmos. Sci. 26, 448–456.
12. Knobloch, E. & Guckenheimer, J. 1983 Convective transitions induced by a varying aspect ratio. Phys. Rev. A27, 408–417.
13. Or, A. C. & Busse, F. H. 1986 Convection in a rotating cylindrical annulus. Part 2. Transition to asymmetric and vacillating flow. J. Fluid Mech. 174, 313–326.
14. Segel, L. A. 1962 The nonlinear interaction of two disturbances in the thermal convection problem. J. Fluid Mech. 14, 97–114.
15. Soward, A. M. 1977 On the finite amplitude thermal instability in a rapidly rotating fluid sphere. Geophys. Astrophys. Fluid Dyn. 9, 19–74.
16. Turner, J. S. 1973 Buoyancy Effects in Fluids. Cambridge University Press.