Physics
Scientific paper
Jun 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jgr....93.6430b&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 93, June 10, 1988, p. 6430-6436.
Physics
12
Convective Heat Transfer, Geoids, Topography, Earth Mantle, Mean Square Values, Perturbation Theory, Prandtl Number, Rayleigh Number
Scientific paper
Geoid anomalies and surface and lower-boundary topographies are calculated for numerically generated thermal convection for an infinite Prandtl number, Boussinesq, axisymmetric spherical fluid shell with constant gravity and viscosity, for heating both entirely from below and entirely from within. Convection solutions are obtained for Rayleigh numbers Ra up to 20 times the critical Ra in heating from below and 27 times critical for heating from within. Geoid parallels surface undulations, and boundary deformation generally increases with increasing cell wavelength. Dimensionless geoid and topography in heating from below are about 5 times greater than in heating from within. Values for heating from within correlate more closely with geophysical data than values from heating from below, suggesting a predominance of internal heating in the mantle. The study emphasizes that dynamically induced topography and geoid are sensitive to the mode of heating in the earth's mantle.
Bercovici Dave
Schubert Gerald
Zebib Abdel
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