Thermal Convection Heated both Volumetrically and from Below: Implications for Predictions of Planetary Evolution

Physics

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8121 Dynamics: Convection Currents, And Mantle Plumes, 8130 Heat Generation And Transport, 8147 Planetary Interiors (5430, 5724, 6024), 8148 Planetary Volcanism (5480, 8450)

Scientific paper

Thermal convection with both volumetric heating and heating from below is considered as a model for the internal dynamics of planetary mantles. A series of 2D and 3D numerical experiments is described where a bottom heat flux is prescribed as well as a constant fraction of volumetric heating with either free-slip or no- slip conditions for the two horizontal boundaries. The assumption that hot plumes rising in the interior of the layer act as volumetric heat sources lead to a first order scaling for the structures of thermal boundary layers. Cases with a no-slip condition are shown to agree well with this simple scaling while cases with free- slip systematically deviates from this prediction: a decrease of approximately 20-30 % is observed for the temperature difference across the boundary layer when the fraction of heating from below is increased from 0 to 1. Earlier numerical results with a prescribed bottom temperature also follow the same deviation. We show that these variations are attributable to varying velocity structures near the boundary with the fraction of volumetric heating.

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