Dynamos on stream surfaces of a highly conducting fluid

Geophysical and Astrophysical Fluid Dynamics

Volumn 93, Issue 1-2, 2000, Pages 55-95

  Gilbert, Andrew D ^a   Ponty, Yannick ^a  

^a UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

Large magnetic Reynolds number; Ponomarenko dynamo; Stream surface

Indexed keywords

COMPUTER SIMULATION; CYLINDERS (CONTAINERS); DC GENERATORS; ELECTRIC CONDUCTIVITY; REYNOLDS NUMBER;

STREAM SURFACES;

FLUID DYNAMICS;

CONDUCTION; ELECTRIC FIELD; FLUID FLOW; MAGNETIC FIELD;

GEODYNAMO; GEOMAGNETIC FIELD;

EID: 0034445022     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/03091920008203722     Document Type: Article

References (33)

1. Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions. Dover (1965).
2. Bassom, A. P. and Gilbert, A. D., "Nonlinear equilibration of a dynamo in a smooth helical flow," J. Fluid Mech. 343, 375-406 (1997).
3. Bassom, A. P. and Gilbert, A. D., "The relaxation of vorticity fluctuations in approximately elliptical stream lines," Proc. R. Soc. Lond. A 456, 295-314 (2000).
4. Basu, A., "Screw dynamo and the generation of nonaxisymmetric magnetic fields," Phys. Rev. E. 56, 2869-2874 (1997).
5. Batchelor, G. K., An Introduction to Fluid Mechanics. Cambridge University Press (1967).
6. Braginsky, S. I., "Self-excitation of a magnetic field during the motion of a highly conducting fluid," Zh. Exp. Tear. Fiz. SSSR 47, 1084-1098 (1964a). (English transl.: Sov. Phys. JETP 20, 726-735 (1965).)
7. Braginsky, S. I., "Self-excitation of a magnetic field during the motion of a highly conducting fluid," Zh. Exp. Tear. Fiz. SSSR 47, 1084-1098 (1964a). (English transl.: Sov. Phys. JETP 20, 726-735 (1965).)
8. Braginsky, S. L, "Theory of the hydromagnetic dynamo," Zh. Exp. Tear. Fiz. SSSR 47, 2178-2193 (1964b). (English transl.: Sov. Phys. JETP 20, 1462-1471 (1965).)
9. Braginsky, S. L, "Theory of the hydromagnetic dynamo," Zh. Exp. Tear. Fiz. SSSR 47, 2178-2193 (1964b). (English transl.: Sov. Phys. JETP 20, 1462-1471 (1965).)
10. Childress, S., "Alpha-effect in flux ropes and sheets," Phys. Earth Planet. Int. 20, 172-180 (1979).
11. Childress, S. and Gilbert, A. D., Stretch, twist, fold: the fast dynamo. Lecture Notes in Physics: Monographs, Vol. 37, Springer-Verlag (1995).
12. Childress, S. and Soward, A. M., "Scalar transport and alpha-effect for a family of cat's-eyes flows," J. Fluid Mech. 205, 99-133 (1989).
13. Dudley, M. L. and James, R. W., "Time-dependent kinematic dynamos with stationary flows," Proc. R. Soc. Lond. A 425, 407-429 (1989).
14. Gailitis, A. K., "Experimental aspects of a laboratory scale liquid sodium dynamo model," In: Solar and Planetary Dynamos (Eds. Proctor, M. R. E., Matthews, P. C. and Rucklidge, A. M.), pp. 91-98. Cambridge University Press (1993).
15. Gailitis, A. K. and Freiberg, Ya. G., "Non-uniform model of a helical dynamo," Magn. Gidrodin., No. 1, pp. 15-19. (English transl.: Magnetohydrodynam. 16, 11-15 (1980).)
16. Gailitis, A. K. and Freiberg, Ya. G., "Non-uniform model of a helical dynamo," Magn. Gidrodin., No. 1, pp. 15-19. (English transl.: Magnetohydrodynam. 16, 11-15 (1980).)
17. Gailitis, A. K., Karasev, B. G., Kirillov, I. R., Lielausis, O. A., Luzhanskij, S. M., Ogorodnikov, A. P. and Preslitskij, G. V., Liquid metal MHD dynamo model. Physics Institute, Latvian SSR Academy of Sciences (1987).
18. Gailitis, A. K., Lielausis, O. A., Dement'ev, S., Platacis, E., Cifersons, A., Gerbeth, G., Gundrum, T., Stefani, F., Christen, M., Hänel, H. and Will, G., "Detection of a flow induced magnetic field eigenmode in the Riga dynamo facility," Phys. Rev. Lett. 84, 4365-4368 (2000).
19. Gilbert, A. D., "Fast dynamo action in the Ponomarenko dynamo," Geophys. Astrophys. Fluid Dynam. 44, 241-258 (1988).
20. Lortz, D., "Exact solutions of the hydromagnetic dynamo problem," Plasma Phys. 10, 967-972 (1968).
21. Plunian, F., Marty, P. and Alemany, A., "Kinematic dynamo action in a network of screw motions; application to the core of a fast breeder reactor," J. Fluid Mech. 382, 137-154 (1999).
22. Ponomarenko, Yu. B., "On the theory of hydromagnetic dynamos," Zh. Prikl. Mech. Tech. Fiz. (USSR) 6, 47-51 (1973).
23. Ponty, Y., Gilbert, A. D. and Soward, A. M., "Kinematic dynamo action in flows driven by shear and convection," J. Fluid Mech., submitted (2000).
24. Rhines, P. B. and Young, W. R., "How rapidly is a passive scalar mixed within closed streamlines?" J. Fluid Mech. 133, 133-145 (1983).
25. Roberts, G. O., "Spatially periodic dynamos," Phil. Trans. R. Soc. Lond. A 266, 535-558 (1970).
26. Roberts, P. H., "Dynamo theory," In: Irreversible Phenomena and Dynamical Systems Analysis in Geosciences (Eds. Nicolis, C. and Nicolis, G.), pp. 73-133. D. Reidel (1987).
27. Ruzmaikin, A. A., Sokoloff, D. D. and Shukurov, A. M., "A hydromagnetic screw dynamo," J. Fluid Mech. 197, 39-56 (1988).
28. Shukurov, A. M. and Sokoloff, D. D., "Evolution of magnetic fields in a swirling jet," In: Solar and Planetary Dynamos (Eds. Proctor, M. R. E., Matthews, P. C. and Rucklidge, A. M.), pp. 271-274, Cambridge University Press (1993).
29. Solovyev, A. A., "Excitation of magnetic field by the axisymmetric motion of a conducting fluid," Izv. Akad. Nauk USSR, Fiz. Zemli, No. 4, pp. 101-103 (1985).
30. Solovyev, A. A., "Magnetic field excitation by conducting fluid flow at high magnetic Reynolds numbers," Izv. Akad. Nauk USSR, Fiz. Zemli, No. 5, pp. 77-80 (1987).
31. Soward, A. M., "Fast dynamo action in a steady flow," J. Fluid Mech. 180, 267-295 (1987).
32. Soward, A. M., "A unified approach to a class of slow dynamos," Geophys. Astrophys. Fluid Dynam. 53, 81-107 (1990).
33. Soward, A. M. and Childress, S., "Large magnetic Reynolds number dynamo action in spatially periodic flow with mean motion," Phil. Trans. R. Soc. Lond A 331, 649-733 (1990).