Non-axisymmetric magnetohydrodynamic shear layers in a rotating spherical shell

Journal of Fluid Mechanics

Volumn 408, Issue , 2000, Pages 239-274

  Soward, Andrew M ^a   Hollerbach, Rainer ^b  

^a UNIVERSITY OF EXETER   (United Kingdom)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AXISYMMETRIC FLOW; ROTATION; SHELL; SPHERICAL FLOW;

EID: 0033939817     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099007776     Document Type: Article

References (30)

1. ABRAMOWITZ, M. & STEGUN, A. 1965 Handhook of Mathematical Functions. Dover.
2. ANUFRIEV, A. P. & HEJDA, P. 1998 Effect of the magnetic field at the inner core boundary on the flow in the Earth's core. Phys. Earth Planet. Inter. 106, 19-30.
3. ANUFRIEV, A. P. & HEJDA, P. 1999 Are axially symmetrical models of the dynamo adequate for modelling the geodynamo? Phys. Earth Planet. Inter. 111, 69-74.
4. AURNOU, J., BRITO, D. & OLSON, P. 1996 Mechanics of inner core super-rotation. Geophys. Res. Lett. 23, 3401-3404.
5. BUSSE, F. H. & CUONG, P. G. 1977 Convection in rapidly rotating fluid shells. Geophys. Astrophys. Fluid Dyn. 8, 17-41.
6. CHRISTENSEN, U., OLSON, P. & GLATZMAIER, G. A. 1998 A dynamo model interpretation of geomagnetic field structures. Geophys. Res. Lett. 25, 1565-1568.
7. DORMY, E., CARDIN, P. & JAULT, D. 1998 MHD flow in a slightly differentially rotating spherical shell, with conducting inner core, in a dipolar magnetic field. Earth Planet. Sci. Lett. 160, 15-30.
8. FEARN, D. R. 1997 The geodynamo. In Earth's Deep Interior (ed. D. J. Crossley), pp. 79-114. Gordon and Breach.
9. GLATZMAIER, G. A. & ROBERTS, P. H. 1995a A three-dimensional convective dynamo solution with rotating and finitely conducting inner core and mantle. Phys. Earth Planet. Inter. 91, 63-75.
10. GLATZMAIER, G. A. & ROBERTS, P. H. 1995b A three-dimensional self-consistent computer simulation of a geomagnetic reversal. Nature 377, 203-209.
11. GLATZMAIER, G. A. & ROBERTS, P. H. 1996a An anelastic evolutionary geodynamo simulation driven by compositional and thermal convection. Physica D 97, 81-94.
12. GLATZMAIER, G. A. & ROBERTS, P. H. 1996b The rotation and magnetism of Earth's inner core. Science 274, 1887-1891.
13. GLATZMAIER, G. A. & ROBERTS, P. H. 1997 Simulating the geodynamo. Contemp. Phys. 38, 269-288.
14. GREENSPAN. H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
15. HOLLERBACH, R. 1994a Magnetohydrodynamic Ekman and Stewartson layers in a rotating spherical shell. Proc R. Soc. Lond. A 444, 333-346.
16. HOLLERBACH, R. 1994b Imposing a magnetic field across a nonaxisymmetric shear layer in a rotating spherical shell. Phys. Fluids 6, 2540-2544 (referred to herein as H94).
17. HOLLERBACH, R. 1996a On the theory of the geodynamo. Phys. Earth Planet. Inter. 98, 163-185.
18. HOLLERBACH, R. 1996b Magnetohydrodynamic shear layers in a rapidly rotating plane layer. Geophys. Astrophys. Fluid Dyn. 82, 237-253.
19. 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.
20. KITAUCHI, H. & KIDA, S. 1998 Intensification of magnetic field by concentrate-and-stretch of magnetic flux lines. Phys. Fluids 10, 457-468.
21. KLEEORIN, N., ROGACHEVSKII, I., RUZMAIKIN, A., SOWARD, A. M. & STARCHENKO, S. 1997 Axisymmetric flow between differentially rotating spheres in a dipole magnetic field. J. Fluid Mech. 344, 213-244 (referred to herein as K-S).
22. KUANG, W. & BLOXHAM, J. 1997 An Earth-like numerical dynamo model. Nature 389, 371-374.
23. KUANG, W. & BLOXHAM, J. 1999 Numerical modelling of magnetohydrodynamic convection in a rapidly rotating spherical shell: Weak and strong field dynamo action. J. Comput. Phys. 153, 51-81.
24. SAKURABA, A. & KONO, M. 1999 Effect of the inner core on the numerical solution of the magnetohydrodynamic dynamo. Phys. Earth Planet. Inter. 111, 105-121.
25. SARSON, G. R., JONES, C. A. & LONGBOTTOM, A. W. 1998 Convection driven geodynamo models of varying Ekman number. Geophys. Astrophys. Fluid Dyn. 88, 225-259.
26. SARSON, G. R. & JONES, C. A. 1999 A convection driven geodynamo reversal model. Phys. Earth Planet. Inter. 111, 3-20.
27. SONG, X. & RICHARDS, P. G. 1996 Seismological evidence for differential rotation of the Earth's inner core. Nature 382, 221-244.
28. STEWARTSON, K. 1957 On almost rigid rotations. J. Fluid Mech. 3, 299-303.
29. STEWARTSON, K. 1966 On almost rigid rotations. Part 2. J. Fluid Mech. 26, 131-144.
30. TAYLOR, J. B. 1963 The magneto-hydrodynamics of a rotating fluid and the Earth's dynamo problem. Proc R. Soc. Lond. A 274, 274-283.