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  • 1
    Electronic Resource
    Electronic Resource
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Fluid Mechanics 32 (2000), S. 409-443 
    ISSN: 0066-4189
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Recent developments in the study of buoyancy-driven convection, magnetoconvection, and convection-driven dynamos in rapidly rotating spherical systems, with application to the fluid parts of the metallic cores of the Earth and other planets and satellites, are reviewed. While the fluid motions driven by convection generate and sustain magnetic fields by magnetohydrodynamic dynamo processes, the pattern and strength of the convective motions that control dynamo action are critically influenced by the combined and inseparable effects of rotation, magnetic fields, and spherical geometry. Emphasis is placed on the key dynamic feature of rotating spherical magnetohydrodynamics-the interaction between the Coriolis and Lorentz forces and the resulting effect on convection and magnetohydrodynamic processes. It is shown that the small value of the Ekman number, a result of rapid rotation and small viscosity in the fluid parts of planetary cores, causes severe difficulties in modeling planetary dynamos. There exist huge disparities, as a direct consequence of a small Ekman number, in the spatial, temporal, and amplitude scales of a convection-driven dynamo. The use of hyperviscosity removes these difficulties, but at the same time it alters the key dynamics in a fundamental and undesirable way. A convection-driven dynamo solution in rotating spherical systems at a sufficiently small Ekman number that is dynamically relevant to planetary fluid cores is yet to be achieved and remains a great challenge.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 9 (1997), S. 1980-1987 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The problem of the onset of convective instability in a rapidly rotating fluid layer heated from below with various velocity boundary conditions is investigated by constructing exact solutions and by asymptotic analysis. It is shown that convective motions at sufficiently small Prandtl numbers are described in leading order by a thermal inertial wave. It is at the next order that buoyancy forces drive the wave against the weak effect of viscous dissipation. On the basis of the perturbation of the thermal inertial wave, asymptotic convection solutions for rigid boundaries can be expressed in simple analytic form. A new asymptotic power law between the critical Rayleigh number and the Ekman number is derived. In addition, solutions for both stationary and time-dependent convection are calculated numerically. Comparison between the numerical and asymptotic solutions is then made to show that a satisfactory quantitative agreement has been achieved. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 108 (1992), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: Lateral variations in heat flux or temperature in the lowermost mantle, associated with mantle convection, will drive fluid flow in the liquid core. The effect is modelled by a rotating spherical shell with uniform lower boundary temperature and a laterally varying upper surface temperature and the solutions found by numerical calculation, some for a density-stratified fluid. The problem depends upon two dimensionless numbers, a horizontal Rayleigh number and a stratification parameter. The calculations are restricted to surface temperatures which are symmetric about the equator and steady solutions are found. Induced toroidal flows near the surface are closely linked with the applied temperature profile through the thermal wind equation and Coriolis forces make the convection penetrate into the shell. Stratification acts mainly to suppress radial flow but the surface toroidal flow is relatively unaffected. The results illustrate the powerful influence exerted by the surface temperature but are difficult to apply directly to the earth's core because molecular values of the thermal diffusivity entail a very long time-scale. Assuming a turbulent thermal diffusivity equal to the magnetic diffusivity gives a more realistic time-scale and it is possible to recover, for specific simple imposed temperature profiles, flows similar to those found in the earth's core from inversion of geomagnetic secular change.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Surveys in geophysics 17 (1996), S. 219-224 
    ISSN: 1573-0956
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 384 (1996), S. 544-545 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] The magnetic fields of Ganymede and lo could be due to either remanent magnetization, dynamo action, or magneto-convection in the satellites' interiors. Which is the more likely source of the magnetic field of each satellite depends on the structures and thermal states of the satellites. We ...
    Type of Medium: Electronic Resource
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