Other
Scientific paper
Dec 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008agufmdi31a1783c&link_type=abstract
American Geophysical Union, Fall Meeting 2008, abstract #DI31A-1783
Other
3225 Numerical Approximations And Analysis (4260), 8124 Earth'S Interior: Composition And State (1212, 7207, 7208, 8105), 8125 Evolution Of The Earth (0325), 8130 Heat Generation And Transport, 8147 Planetary Interiors (5430, 5724, 6024)
Scientific paper
Thermal convection parameterization has provided a useful tool for investigating the thermal evolution of the Earth and other planets. However, many such parameterizations assume homogenous fluid properties and use averages to account for spatial variations in material properties. While reasonable approximations, these models fail to produce the appropriate wavelengths found in systems with depth dependent viscosities, such as the Earth, and are difficult to couple to surface plates. The purpose of this study was to develop a parameterized model that properly accounts for thermal convection through a fluid layer with a depth- dependent viscosity and plates on the surface. We have carried out a study of the dynamics of thermal convection in a fluid layer bounded by plates and with an internal viscosity change. The problem was decomposed into two separate and less complex flows; a buoyantly driven flow and a plate driven flow, with the superposition of the two yielding the total flow. Simple flow models were constructed for both the buoyantly driven and plate driven flows. The two flows were then coupled together using (1) the combined velocity field, (2) simple thermal boundary layer theory to approximate the magnitude of the thermal anomalies, (3) the requirement that the shear stress applied to the plate by the buoyantly driven flow match the shear stress required to force the plate driven flow, and (4) the energy required for subduction in the energy balance through a simple parameterization of plate bending. The combined model provides a parameterization for convective heat transport and yields an approximate velocity field from which the mixing rate across the viscosity change can be estimated. This mixing rate can be used to calculate chemical mixing between the different layers and can provide a means of further constraining thermal histories.
Crowley John W.
O'Connell Robert
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