Nusselt-Rayleigh Relationship for a Fluid Heated from Below and from Within: Application to the Cooling Rate of the Martian Core

Details Nusselt-Rayleigh Relationship for a Fluid Heated from Below and from Within: Application to the Cooling Rate of the Martian Core Nusselt-Rayleigh Relationship for a Fluid Heated from Below and from Within: Application to the Cooling Rate of the Martian Core

Mar 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996lpi....27.1247s&link_type=abstract

Lunar and Planetary Science, volume 27, page 1247

Physics

Convection, Cores, Mantle, Mars

Scientific paper

Three-dimensional numerical experiments have been carried out to investigate the role of internal heating on the convection pattern and heat transfer through a fluid layer heated from below. A simple relationship between the mean temperature, the Rayleigh number, and the internal heating rate has been inverted. A thermal boundary layer analysis provides a simple relationship between the heat flux at the surface, the mean temperature, and the Rayleigh number. This relationship is verified by the numerical runs. This same analysis is applied in 3D spherical coordinates and allows us to predict the amount of heat that can be extracted from a liquid core. Recent experimental data on the melting curves of Fe and FeS in the pressure range of interest for Mars are being used to construct models of the cooling rate of the martian core.

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