Liquid core's heat-mass transfer, rigid core's age and super-rotation

Details Liquid core's heat-mass transfer, rigid core's age and super-rotation Liquid core's heat-mass transfer, rigid core's age and super-rotation

Apr 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003eaeja......185k&link_type=abstract

EGS - AGU - EUG Joint Assembly, Abstracts from the meeting held in Nice, France, 6 - 11 April 2003, abstract #185

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Scientific paper

We develop the theory of heat and mass transfer in an almost adiabatic and well-mixed core of a planet. For the first time, a general analytic solution to heat and diffusion equations without nonlinear convective terms is obtained. This spherically symmetric basic solution is approximately applicable for sufficiently super-adiabatic heat flux from the liquid core, while it could be exactly applicable for sub-adiabatic flux. Our general estimations of growth rate of the inner rigid core for those applicable heat fluxes have good agreement with the particular values used in the traditional 1D and novel 3D numerical modeling. We estimate corresponding age of the inner core of the Earth from 1 to 2 billion years depending on possible CMB heat flux and ICB density jump. Using the obtained inner core growth rate value we roughly estimate a torque accelerating the inner core rotation due to transport of the impulse momentum of the heavy composition of the outer liquid core to the inner rigid core boundary where this heavy composition is freezing. This process is so energetically rich that alone could support the flow and a valuable magnetic field as well. Balancing this original `compositional' torque with the viscous torque we get super-rotation (relative to mantle) of the inner core about one degree per year for molecular viscosity. Turbulent and other effects could sufficiently reduce this super-rotation to a hardly observed value as it is up to now, while the `compositional' torque should remain valid for hydrodynamics and magnetism in the planetary cores.

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