Thermal winds forced by inhomogeneous boundary conditions in rotating, stratified, hydromagnetic fluid

Journal of Fluid Mechanics

Volumn 505, Issue , 2004, Pages 163-178

  Lister, John R ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EARTH (PLANET); FUNCTIONS; HEAT FLUX; MAGNETIC FIELDS; MAGNETIC FLUIDS;

EKMAN NUMBER; ELECTRICALLY CONDUCTING FLUID; HORIZONTAL BOUNDARY;

WIND;

BOUNDARY CONDITIONS; HYDRODYNAMICS; MAGNETIC FLUID; STRATIFIED FLOW; WIND;

EID: 2442637443     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004008298     Document Type: Article

References (37)

1. ARTYUSHKOV, E. V. 1972 Density differentiation of the Earth's matter and processes at the core-mantle interface. J. Geophys. Res. 77, 6454-6458.
2. BARCILON, V. & PEDLOSKY, J. 1967a Linear theory of rotating stratified fluid motions. J. Fluid Mech. 29, 1-16.
3. BARCILON, V. & PEDLOSKY, J. 1967b A unified linear theory of homogeneous and stratified rotating fluids. J. Fluid Mech. 29, 609-621.
4. BARCILON, V. & PEDLOSKY, J. 1967c On the steady motions produced by a stable stratification in a rapidly rotating fluid. J. Fluid Meth. 29, 673-690.
5. BENTON, E. R. & LOPER, D. E. 1969 On the spin-up of an electrically conducting fluid Part 1. The unsteady hydromagnetic Ekman-Hartmann layer problem. J. Fluid Mech. 39, 561-568.
6. BLOXHAM, J. 2000 Sensitivity of the geomagnetic axial dipole to thermal core-mantle interactions. Nature 405, 63-65.
7. BLOXHAM, J. & GUBBINS, D. 1987 Thermal core-mantle interactions. Nature 325, 511-513.
8. BLOXHAM, J. & JACKSON, A. 1990 Lateral temperature variations at the core-mantle boundary deduced from the magnetic field. Geophys. Res. Lett. 17, 1997-2000.
9. BRAGINSKY, S. I. 1967 Magnetic waves in the Earth's core. Geomag. Aeron. 7, 851-859.
10. BRAGINSKY, S. I. 1984 Short-period geomagnetic secular variation. Geophys. Astrophys. Fluid Dyn. 30, 1-78.
11. BRAGINSKY, S. I. 1993 MAC-oscillations of the hidden ocean of the core. J. Geomag. Geoelectr. 45, 1517-1538.
12. CHANDRASEKHAR, S. 1981 Hydrodynamic and Hydromagnetic Stability. Dover.
13. FEARN, D. R. & LOPER, D. E. 1981 Compositional convection and stratification of the Earth's core. Nature 289, 393-394.
14. GIBBINS, S. J. & GUBBINS, D. 2000 Convection in the Earth's core driven by lateral variations in the core-mantle boundary heat flux. Geophys. J. Intl 142, 631-642.
15. GILMAN, P. A. & BENTON, E. R. 1968 Influence of an axial magnetic field on the steady linear Ekman layer. Phys. Fluids 11, 2397-2401.
16. GREENSPAN, H. P. & HOWARD, L. N. 1963 On a time-dependent motion of a rotating fluid. J. Fluid Mech. 17, 385-404.
17. GUBBINS, D., THOMSON, C. J. & WHALER, K. A. 1982 Stable regions in the Earth's liquid core. Geophys. J. R. Astron. Soc. 68, 241-251.
18. HIDE, R. 1966 Free hydromagnetic oscillations of the Earth's core and the theory of the geomagnetic secular variation. Phil. Trans. R. Soc. Lond. A 259, 615-647.
19. HIDE, R. 1969 On hydromagnetic waves in a stratified rotating compressible fluid. J. Fluid Mech. 39, 283-287.
20. KOHLER, M. D. & STEVENSON, D. J. 1990 Modelling core-fluid motions and the drift of magnetic field patterns at the CMB by use of topography obtained by seismic inversion. Geophys. Res. Lett. 17, 1473-1476.
21. LABROSSE, S., POIRIER, J. P. & LE MOUËL, J. L. 1997 On cooling of the Earth's core. Phys. Earth Planet. Inter. 99, 1-17.
22. LAY, T. & YOUNG, C. J. 1990 The stably stratified outermost core revisited. Geophys. Res. Lett. 17, 2001-2004.
23. LISTER, J. R. & BUFFETT, B. A. 1998 Stratification of the outer core at the core-mantle boundary. Phys. Earth Planet. Inter. 105, 5-19.
24. LLOYD, D. & GUBBINS, D. 1990 Toroidal fluid motion at the top of Earth's core. Geophys. J. Intl 100, 455-467.
25. LOPER, D. E. 1975 A linear theory of rotating, thermally stratified, hydromagnetic flow. J. Fluid Mech. 72, 1-16.
26. LOPER, D. E. 1976a A study of stably stratified fluid in a rotating cylinder. J. Fluid Mech. 73, 529-564.
27. LOPER, D. E. 1976b On the spin-up of a stably stratified, electrically conducting fluid. Part I Spin-up controlled by the Hartmann layer. Geophys. Fluid Dyn. 7, 133-156.
28. LOPER, D. E. 1976c On the spin-up of a stably stratified, electrically conducting fluid. Part II Spin-up controlled by the MAC layer Geophys. Fluid Dyn. 7, 175-203.
29. LOPER, D. E. & BENTON, E. R. 1970 On the spin-up of an electrically conducting fluid Part 2. Hydromagnetic spin-up between infinite flat insulating plates. J. Fluid Mech. 43, 785-799.
30. OLSON, P. & CHRISTENSEN, U. R. 2002 The time-averaged magnetic field in numerical dyanmos with non-uniform boundary heat flow. Geophys. J. Intl 151, 809-823.
31. OLSON, P. & GLATZMEIER, G. A. 1996 Magnetoconvection and thermal coupling of the Earth's core and mantle. Phil. Trans. R. Soc. Lond. A 354, 1413-1424.
32. SARSON, G. R., JONES, C. A. & LONGBOTTOM, A. W. 1997 The influence of boundary region heterogeneities on the geodynamo. Phys. Earth Planet. Inter. 101, 13-32.
33. SHIMIZU, H. & LOPER, D. E. 1997 Time and length scales of buoyancy driven structures in a rotating hydromagnetic fluid. Earth Planet. Sci. Lett. 104, 307-329.
34. STACEY, F. D. 1992 Physics of the Earth, 3rd edn. Brookfield Press, Brisbane.
35. STEWARTSON, K. 1966 On almost rigid rotations. Part 2. J. Fluid Mech. 26, 131-144.
36. VEMPATY, S. & LOPER, D. E. 1975 Hydromagnetic boundary layers in a rotating cylindrical container. Phys. Fluids 18, 1678-1686.
37. WHALER, K. 1980 Does the whole of the Earth's core convect? Nature, 287, 528-530.