Thermal and Magnetic Instabilities in a Rapidly Rotating Fluid Sphere

Geophysical & Astrophysical Fluid Dynamics

Volumn 14, Issue 1, 1979, Pages 103-126

  Fearn, D R ^a  

^a NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0018724810     PISSN: 03091929     EISSN: 10290419     Source Type: Journal    
DOI: 10.1080/03091927908244534     Document Type: Article

References (22)

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2. Acheson, D. J., Thermally convective and magnetohydrodynamic instabilities of a rotating fluid, I, submitted (1979).
3. Braginsky, S. I., Structure of the F layer and reasons for convection in the Earth's core, Doklady Akad. Nauk SSSR 149, 8-10 (1963).
4. Braginsky, S. I., Magnetohydrodynamics of the Earth's core, Geomag. Aeron. 4, 698-712 (1964).
5. Braginsky, S. I., Magnetic waves in the Earth's core, Geomag. Aeron. 7, 851-859 (1967).
6. Bullard, E. C. and Gellman, H., Homogeneous dynamos and terrestrial magnetism, Phil. ?Brans. Roy. Soc. land. A 247, 213-278 (1954).
7. Busse, F. H., Introduction to the theory of geomagnetism, in Rotating Fluids in Geophysics (P. H. Roberts and A. M. Soward, eds.), Academic Press, London, 361-388 (1978).
8. Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford (1961).
9. Eltayeb, I. A., Hydromagnetic convection in a rapidly rotating fluid layer, Proc. Roy. Soc. Lond. A 326, 229-254 (1972).
10. Eltayeb, I. A., Overstable hydromagnetic convection in a rotating fluid layer, J. Fluid Mech. 71, 161-179 (1975).
11. Eltayeb, I. A. and Kumar, S., Hydromagnetic convective instability of a rotating self-gravitating fluid sphere containing a uniform distribution of heat sources, Proc. Roy. Soc. Lond. A 353, 145-162 (1977).
12. Fearn, D. R., Thermally driven hydromagnetic convection in a rapidly rotating sphere, submitted (1979).
13. Hardy, G. H. and Wright, E. M., An Introduction to the Theory of Numbers, 4th Ed., Clarendon Press, Oxford (1960).
14. Loper, D. E. and Roberts, P. H., On the motion of an iron-alloy core containing a slurry, Geophys. Astrophys. Fluid Dynam. 9, 289-321 (1978).
15. Malkus, W. V. R., Hydromagnetic planetary waves, J. Fluid Mech. 28, 792-802 (1967).
16. Peters, G. and Wilkinson, J. H., The calculation of specified eigenvectors by inverse iteration, in Handbook for Automatic Computation, vol. 2, Linear Algebra (J. H. Wilkinson and C. Reinsch, eds.), Springer-Verlag, Berlin, 418-439 (1971a).
17. Peters, G. and Wilkinson, J. H., Eigenvectors of real and complex matrices by LR and QR triangularizations, ibid, 370-395 (1971b).
18. Roberts, P. H., On the thermal instability of a rotating-fluid sphere containing heat sources, Phil. Trans. Roy. Land. A 263, 93-117 (1968).
19. Roberts, P. H., Magnetoconvection in a rapidly rotating fluid, in Rotating Fluids in Geophysics (P. H. Roberts and A. M. Soward, eds.), Academic Press, London, 421-435 (1978).
20. Roberts, P. H. and Loper, D. E., On the diffusive instability of some simple steady magnetohydrodynamics flows, J. Fluid. Mech. 90, 641-668 (1979).
21. Roberts, P. H. and Soward, A. M., Magnetohydrodynamics of the Earth's core, Ann. Rev. Fluid Mech. 4, 117-154 (1972).
22. Soward, A. M., Thermal and magnetically driven convection in a rapidly rotating fluid layer. J. Fluid Mech. 90, 669-684 (1979).