The kinematic dynamo action of spiralling convective flows

Geophysical Journal International

Volumn 133, Issue 1, 1998, Pages 140-158

  Sarson, G R ^a   Busse, F H ^b  

^a UNIVERSITY OF EXETER   (United Kingdom)

^b UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

Convection; Geomagnetism; Kinematic dynamos

Indexed keywords

CONVECTION; MAGNETISM;

CONVECTION; GEOMAGNETIC FIELD;

EID: 0031844519     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1998.1331475.x     Document Type: Article

References (29)

1. Braginsky, S.I., 1964. Self-excitation of a magnetic field during the motion of a highly conducting fluid, Zh. Eksp. teor. Fiz., 47, 1084; English translation in Soviet Phys. JETP, 20, 726-735, 1965.
2. Braginsky, S.I., 1964. Self-excitation of a magnetic field during the motion of a highly conducting fluid, Zh. Eksp. teor. Fiz., 47, 1084; English translation in Soviet Phys. JETP, 20, 726-735, 1965.
3. Bullard, E. & Gellman, H., 1954. Homogeneous dynamos and terrestrial magnetism, Proc. R. Soc. Lond., A, 247, 213-278.
4. Busse, F.H., 1970. Thermal instabilities in rapidly rotating systems, J. Fluid Mech., 44, 441-460.
5. Busse, F.H., 1976. Generation of planetary magnetism by convection, Phys. Earth planet. Inter., 12, 350-358.
6. Busse, F.H., 1982. Thermal convection in rotating systems, in Proc. 9th US National Congress of appl. Mech., pp. 299-305, American Society of Mechanical Engineers, New York, NY.
7. Busse, F.H., 1983. Recent developments in the dynamo theory of planetary magnetism, Ann. Rev. Earth planet. Sci., 11, 241-268.
8. Busse, F.H. & Hood, L.L., 1982. Differential rotation driven by convection in a rotating annulus, Geophys. astrophys. Fluid Dyn., 21, 59-74.
9. Carrigan, C.R. & Busse, F.H., 1983, An experimental and theoretical investigation of the onset of convection in rotating spherical shells, J. Fluid Mech., 126, 287-305.
10. Dudley, M.L. & James, R.W., 1989. Time dependent dynamos with stationary flows, Proc. R. Soc. Lond., A, 425, 407-429.
11. Fearn, D.R., 1979a. Thermal and magnetic instabilities in a rapidly rotating fluid sphere, Geophys. astrophys. Fluid Dyn., 14, 103-126.
12. Fearn, D.R., 1979b. Thermally driven hydromagnetic convection in a rapidly rotating sphere, Proc. R. Soc. Lond., A, 369, 227-242.
13. Fearn, D.R., 1994. Non-linear planetary dynamos, in Lectures on Solar and Planetary Dynamos, pp. 219-244, eds Proctor, M.R.E. & Gilbert, A.D., Cambridge University Press, Cambridge.
14. Gilman, P.A., 1976. Theory of convection in a deep rotating spherical shell and its application to the Sun, in Proc. IAU Symp, No. 71, Basic Mechanisms of Solar Activity, pp. 207-228, eds Bumba, V. & Kleczek, J., Reidel, Dordrecht.
15. Gubbins, D. & Roberts, P.H., 1987. Magnetohydrodynamics of the Earth's core in Geomagnetism, Vol. 2, pp. 1-183, ed. Jacobs, J.A. Academic Press, London.
16. Holme, R., 1997. 3-D kinematic dynamos with equatorial symmetry: Application to the magnetic fields of Uranus and Neptune, Phys. Earth planet. Inter., 102, 105-122.
17. Kumar, S. & Roberts, P.H., 1975. A 3-D kinematic dynamo, Proc. R. Soc. Lond., A, 344, 235-258.
18. Longbottom, A.W., Jones, C.A. & Hollerbach, R., 1995, Linear magnetoconvection in a rotating spherical shell, incorporating a finitely conducting inner core, Geophys. astrophys. Fluid Dyn., 80, 205-227.
19. Love, J.J. & Gubbins, D., 1996. Optimized kinematic dynamos, Geophys. J. Int., 124, 787-800.
20. Nakajima, T. & Kono, M., 1991. Kinematic dynamos associated with large scale fluid motions, Geophys. astrophys. Fluid Dyn., 60, 177-209.
21. Pekeris, C.L., Accad, Y. & Shkoller, B., 1973. Kinematic dynamos and the Earth's magnetic field, Phil. Trans. R. Soc. Lond., A, 275, 425-461.
22. Roberts, G.O., 1972. Dynamo action of fluid motions with two-dimensional periodicity, Phil. Trans. R. Soc. Lond., A, 271, 411-454.
23. Roberts, P.H., 1968. On the thermal instability of a rotating fluid sphere containing heat sources, Phil. Trans. R. Soc. Lond., A, 263, 93-117.
24. Roberts, P.H., 1972. Kinematic dynamo models, Phil. Trans. R. Soc. Lond., A, 271, 663-697.
25. Roberts, P.H., 1994. Fundamentals of dynamo theory, in Lectures on Solar and Planetary Dynamos, pp. 1-58, eds Proctor, M.R.E. & Gilbert, A.D., Cambridge University Press, Cambridge.
26. Sarson, G.R. & Gubbins, D., 1996. 3-D kinematic dynamos dominated by strong differential rotation, J. Fluid Mech., 306, 223-265.
27. Steenbeck, M., Krause, F. & Rädler, K.-H., 1966. A calculation of the mean emf in an electrically conducting fluid in turbulent motion, under the influence of Coriolis forces, Z. Naturforschung, 21a, 369-376.
28. Zhang, K., 1992. Spiralling columnar convection in rapidly rotating spherical fluid shells, J. Fluid Mech., 236, 535-556.
29. Zhang, K., 1995. Spherical shell rotating convection in the presence of a toroidal magnetic field, Proc. R. Soc. Lond., A, 448, 245-268.