On small Roberts number magnetoconvection in rapidly rotating systems

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 452, Issue 1947, 1996, Pages 981-995

  Zhang, K ^a   Jones, C A ^a  

^a UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746747644     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1996.0049     Document Type: Article

References (17)

1. Busse, F. H. 1970 Thermal instabilities in rapidly rotating systems. J. Fluid Mech. 44, 441-460.
2. Busse, F. H. 1982 Thermal convection in rotating systems. In Proc. 9th US National Congress of Appl. Mech., pp. 299-305. New York: ASME.
3. Chandrasekhar, S. 1961 Hydrodynamic and hydromagnetic stability. Oxford: Clarendon Press. Eltayeb, I. A. 1992 The propagation and stability of linear wave motions in rapidly rotating spherical shells: weak magnetic fields. Geophys. Astrophys. Fluid Dyn. 67, 211-240.
4. Eltayeb, I. A. & Kumar, S. 1977 Hydromagnetic convective instability of a rotating, selfgravitating fluid sphere containing a uniform distribution of heat sources. Proc R. Soc. Land. A 353, 145-162.
5. Fearn, D. R. 1979a Thermally driven hydrodynamic convection in a rapidly rotating sphere. Proc R. Soc. Land. A 326, 227-242.
6. Fearn, D. R. 1993 Magnetic instabilities in rapidly rotating systems. In Theory of solar and planetary dynamos (ed. M. R. E. Proctor, P. C. Matthews & A. M. Rucklidge), pp. 59-68. Cambridge University Press.
7. Fearn, D. R. & Proctor, M. R. E. 1983 Hydromagnetic waves in a differentially rotating sphere. J. Fluid Mech. 128, 1-20.
8. Jacobs, J. A. 1975 The Earth's core. New York: Academic Press.
9. Hollerbach, R. & Proctor, M. R. E. 1993 Non-axisymmetric shear layers in a rotating spherical shell. In Theory of solar and planetary dynamos (ed. M. R. E. Proctor, P. C. Matthews & A. M. Rucklidge), pp. 145-152. Cambridge University Press.
10. Longbottom, A. W., Jones, C. A. & Hollerbach, R. 1996 Linear magnetoconvection in a rotating spherical shell. Geophys. Astrophys. Fluid Dyn. 80, 205-227.
11. Proctor, M. R. E. 1994 Magnetoconvection in a rapidly rotating sphere. In Stellar and planetary dynamos (ed. M. R. E. Proctor & A. D. Gilbert). Cambridge University Press.
12. Roberts, P. H. & Loper, D. E. 1979 On the diffusive instability of some simple steady magnetohydrodynamic flows. J. Fluid Mech. 90, 641-668.
13. Soward, A. M. 1979 Thermal and magnetically driven convection in a rapidly rotating fluid layer. J. Fluid Mech. 90, 669-684.
14. Zhang, K. 1994 On coupling between the Poincaré equation and the heat equation. J. Fluid Mech. 268, 211-229.
15. Zhang, K. 1995 Spherical shell rotating convection in the presence of a toroidal magnetic field. Proc R. Soc. Land. 448, 245-268.
16. Zhang, K. & Fearn, D. 1994 Hydromagnetic waves in a rotating spherical shell generated by toroidal decay modes. Geophys. Astrophys. Fluid Dyn. 77, 123-147.
17. Zhang, K. & Jones, C. A. 1994 Convective motions in the Earth's fluid core. Geophys. Res. Lett. 21, 1939-1942.