The influence of surface topography on rotating convection

Journal of Fluid Mechanics

Volumn 313, Issue , 1996, Pages 147-180

  Bell, Peter I ^a   Soward, Andrew M ^a,b  

^a NEWCASTLE UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; GEOPHYSICS; GRAVITATION; HEAT CONVECTION; MODULATION; ROTATIONAL FLOW; STABILITY; SURFACE WAVES; TEMPERATURE; WAVE PROPAGATION;

BOUSSINESQ CONVECTION; BUMPS; BUSSES ANNULUS; EKMAN NUMBER; EKMAN SUCTION; GEOSTROPHIC FLOW; RAYLEIGH NUMBER; ROTATING CONVECTION; SURFACE TOPOGRAPHY; THERMAL ROSSBY WAVES;

FLUID MECHANICS;

CONVECTION; GEOPHYSICAL FLOWS; ROTATING; TOPOGRAPHY;

EID: 0030111554     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096002169     Document Type: Article

References (44)

1. ANUFRIEV, A. P. & BRAGINSKY, S. I. 1975 The effect of a magnetic field on the stream of a rotating liquid at a rough surface. Mag. Gidrod. 4, 62-68 (English transi. Magnetohydrodynamics 11, 461-467 (1976)).
2. ANUFRIEV, A. P. & BRAGINSKY, S. I. 1975 The effect of a magnetic field on the stream of a rotating liquid at a rough surface. Mag. Gidrod. 4, 62-68 (English transi. Magnetohydrodynamics 11, 461-467 (1976)).
3. ANUFRIEV, A. P. & BRAGINSKY, S. I. 1977 Effect of irregularities of the boundary of the Earth's core on the speed of the fluid and on the magnetic field. III. Geomag. Aeron. 17, 742-750 (English transl. pp. 492-496).
4. BELL, P. I. 1993 The effect of bumps on convection in the Earth's core. PhD dissertation, University of Newcastle upon Tyne.
5. BUSSE, F. H. 1970 Thermal instabilities in rapidly rotating systems. J. Fluid Mech. 44, 441-460.
6. BUSSE, F. H. 1994 Convection driven zonal flows and vortices in the major planets. Chaos 4, 123-134.
7. BUSSE, F. H. & CUONG, P. G. 1977 Convection in rapidly rotating spherical fluid shells. Geophys. Astrophys. Fluid Dyn. 8, 17-44.
8. BUSSE, F. H. & HOOD, L. L. 1982 Differential rotation driven by convection in a rapidly rotating annulus. Geophys. Astrophys. Fluid Dyn. 21, 59-74.
9. BUSSE, F. H. & OR, A. C. 1986 Convection in a rotating cylindrical annulus: thermal Rossby waves. J. Fluid Mech. 166, 173-187.
10. BUSSE, F. H. & WICHT, J. 1992 A simple dynamo caused by conductivity variations. Geophys. Astrophys. Fluid Dyn. 64, 135-144.
11. 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.
12. EWEN, S. A. & SOWARD, A. M. 1994 Phase mixed rotating magnetoconvection and Taylor's condition I. Amplitude equations. Geophys. Astrophys. Fluid Dyn. 77, 209-230.
13. FEARN, D. R. & PROCTOR, M. R. E. 1992 Magnetostrophic balance in non-axisymmetric, non-standard dynamo models. Geophys. Astrophys. Fluid Dyn. 67, 117-128.
14. GILLMAN, P. H. 1977 Non-linear dynamics of Boussinesq convection in a deep rotating spherical shell. Geophys. Astrophys. Fluid Dyn. 8, 93-135.
15. GREENSPAN, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
16. GUBBINS, D. & RICHARDS, M. 1986 Coupling of the core dynamo and mantle: thermal or topographic? Geophys. Res. Lett. 13, 1521-1524.
17. GUCKENHEIMER, J. & HOLMES, P. 1983 Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer.
18. HIDE, R. 1967 Motions of the Earth's core and mantle and variations of the main geomagnetic field. Science 157, 55-56.
19. HIDE, R. 1989 Fluctuations in the Earth's rotation and the topography of the core-mantle interface. Phil. Trans. R. Soc. Lond. A 328, 351-363.
20. HIDE, R., CLAYTON, R. W., HAGER, B. H., SPIETH, M. A. & VOORHIES, C. V. 1993 Topographic core-mantle coupling and fluctuations in the Earth's rotation. In Relating Geophysical Structures and Processes, The Jeffreys Volumes (ed. K. Aki & R. Dmowska), vol. 76, pp. 107-120. AGU/IUGG.
21. HOLYER, J. Y. 1981 On the collective instability of salt fingers. J. Fluid Mech. 110, 195-207.
22. JAULT, D. & LE MOUËL, J.-L. 1989 The topographic torque associated with a tangentially geostrophic motion at the core surface and inferences on he flow inside the core. Geophys. Astrophys. Fluid Dyn. 48, 273-296.
23. JAULT, D. & LE MOUËL, J.-L. 1993 Circulation in the liquid core and coupling with the mantle. Adv. Space Res. 13, 11, 221-233.
24. KUANG, W. & BLOXHAM, J. 1993 On the effect of boundary topography on flow in the Earth's core. Geophys. Astrophys. Fluid Dyn. 72, 161-195.
25. MOFFATT, H. K. & DILLON, R. F. 1976 The correlation between gravitational and geomagnetic fields caused by interaction of the core fluid motion with a bumpy core-mantle interface. Phys. Earth Planet. Inter. 13, 68-78.
26. MUNK, W. H. 1950 On the wind-driven ocean circulation. J. Met. 7, 79-93.
27. Or, A. C. 1994 Chaotic transitions of convection rolls in a rapidly rotating annulus. J. Fluid Mech. 261, 1-19.
28. OR, A. C. & BUSSE, F. H. 1987 Convection in a rotating cylindrical annulus. Part 2. Transitions to asymmetric and vascillating flow. J. Fluid Mech. 174, 313-326.
29. PEDLOSKY, J. 1979 Geophysical Fluid Dynamics. Springer.
30. 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.
31. ROBERTS, P. H. 1988 On topographic core-mantle coupling. Geophys. Astrophys. Fluid Dyn. 44, 181-187.
32. ROBERTS, P. H. & SOWARD, A. M. 1992 Dynamo theory. Ann. Rev. Fluid Mech. 24, 459-512.
33. SCHNAUBELT, M. & BUSSE, F. H. 1990 Convection in a rotating cylindrical annulus with rigid boundaries. In Nonlinear evolution of spatio-temporal structures in dissipative continuous systems (ed. F. H. Busse & L. Kramer). NATO ASI Series B, vol. 225, pp. 67-72. Plenum.
34. SCHNAUBELT, M. & BUSSE, F. H. 1992 Convection in a rotating cylindrical annulus. Part 3. Vacillating and spatially modulated flows. J. Fluid Mech. 245, 155-173.
35. SOWARD, A. M. 1977 On the finite amplitude thermal instability of a rapidly rotating fluid sphere. Geophys. Astrophys. Fluid Dyn. 9, 19-74.
36. SOWARD, A. M. 1980 Finite-amplitude thermal convection and geostrophic flow in a rotating magnetic system. J. Fluid Mech. 98, 449-471.
37. STEWARTSON, K. 1957 On almost rigid rotations. J. Fluid Mech. 3, 17-26.
38. STOMMEL, H. 1948 The westward intensification of wind-driven ocean currents. Trans. Am. Geophys. Union 99, 202-206.
39. SUN, Z.-P., SCHUBERT, G. & GLATZMAIER, G. A. 1994 Numerical simulations of thermal convection in a rapidly rotating spherical shell cooled inhomogeneously from above. Geophys. Astrophys. Fluid Dyn. 75, 199-226.
40. SVERDRUP, H. U. 1947 Wind-driven currents in a baroclinic ocean; with application to the equatorial currents of the eastern Pacific. Proc. Natl Acad. Sci. 33, 318-326.
41. 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.
42. ZHANG, K. 1992 Spiralling columnar convection in rapidly rotating spherical fluid shells. J. Fluid Mech. 236, 535-556.
43. ZHANG, K. & GUBBINS, D. 1992 On convection in the Earth's core driven by lateral temperature variations in the lower mantle. Geophys. J. Intl 108, 247-255.
44. ZHANG, K. & GUBBINS, D. 1993 Convection in a rotating spherical shell with an inhomogenious temperature boundary at infinite Prandtl number. J. Fluid Mech. 250, 209-232.