A Parameterization for Temperature and Heat Flow in a Layer Heated from Within and Below

Details A Parameterization for Temperature and Heat Flow in a Layer Heated from Within and Below A Parameterization for Temperature and Heat Flow in a Layer Heated from Within and Below

Dec 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004agufm.p33a1012m&link_type=abstract

American Geophysical Union, Fall Meeting 2004, abstract #P33A-1012

Physics

8121 Dynamics, Convection Currents And Mantle Plumes, 8130 Heat Generation And Transport, 5418 Heat Flow, 6218 Jovian Satellites

Scientific paper

Parameterizations for convective heat transport have become quite sophisticated, accounting for phenomena such as temperature, depth, and stress dependent viscosity, spherical geometry, and phase changes. One aspect of the problem which has not been adequately resolved is the problem of a layer which is heated from below as well as from within, a situation that prevails in the floating ice shells of outer planet satellites. Further, even the simple, purely internally heated case presents a problem in that the current theory fails to explain the observed sub-adiabatic gradient throughout the interior. A new parameterization of convection in the case of a layer heated from within and below is presented, based on the concept of a flow circuit. The resulting heat flow scalings and temperature profiles are compared to numerical solutions. The sub-adiabatic gradient in internally heated layers is found to scale as the square root of the internal heating rate. Scalings are also found for the magnitude of the temperature under- and over-shoots at the bottom and top boundary layers. The under-shoot at the bottom boundary layer controls the heat transport through the base of the layer in cases with both internal and bottom heating and hence controls the stability of the boundary layer and the development of plumes.

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