Convection experiments in fluids with highly temperature-dependent viscosity and the thermal evolution of the planets

Physics

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Convective Heat Transfer, Planetary Evolution, Planetary Temperature, Temperature Dependence, Viscous Fluids, Nusselt Number, Rayleigh Number, Rheology, Temperature Distribution

Scientific paper

Experiments aimed at better understanding of the physical aspect of convection with temperature-dependent viscosity are described, approaches used in planetary thermal evolution modeling are summarized, and experiments to test some of these are shown. The experimental setup is briefly described, emphasizing the thermal structure of the convective state. This includes accurate measurements of the Nusselt number, profiles of the horizontally-averaged temperature versus depth, and interferometric photographs of the cells' temperature structure. Results for viscosity ratios up to 100,000 in the moderate Rayleigh number range are presented, as well as Nusselt number measurements in fair agreement with previous ones. A simple method is suggested for extrapolating the results to much higher viscosity ratios.

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