Computer Science
Scientific paper
May 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998ep%26s...50..387i&link_type=abstract
Earth, Planets and Space, Volume 50, p. 387-395.
Computer Science
4
Scientific paper
We study the dynamical (three-dimensionalbox, axisymmetric and spherical shell geometry) and parameterized models of the mantle convection with the core-cooling. The viscosity is constant in spaceand dependent on the volume averaged mantle temperature. Core is treated as a hot bath. To understand the process of cooling, we use the 'local' Rayleigh (Ral) and Nusselt (Nul)numbers, which are defined in each thermal boundary layer. In the dynamical calculations, we check thevarious combinations of Ral and Nul, and findthat the local Rayleigh number either at the top or bottom surface may control both the top and bottom local Nusselt numbers. This result suggests that thecore-cooling in this case may be controlled by theflow either at top or bottom boundary layer. The least-square-fitting of Nul-Ralrelationship shows that its power-law index is around 0.3, despite of the different geometry. Comparing the thermal history calculated by the dynamical and parameterized models, we find that the parameterized convection theory based on the local Ra-Nurelationship obtained by the dynamical calculation is useful for investigating the thermal history ofthe mantle and core. Applying the parameterized theory to the Earth, we find that the plausible Ureyratio is smaller than that obtained by the previous works which ignored the bottom thermal boundary layer.
Honda Satoru
Iwase Yasuyuki
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