Experimental and Theoretical Study of Spherical Convection with Central Gravity.

Physics – Fluid Dynamics

Scientific paper

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Scientific paper

The design of an experimental study of mantle convection of terrestial planets is described. Our model employs a colloidal magnetic fluid (ferrofluid) as the working substance in a spherical shell heated from the interior. A central body force field is produced by reorienting the dipolar magnetic field of a high magnetic moment permanent magnet sufficiently rapidly over all orientations. The magnet source will be floated using the ferrofluid self-levitational phenomenon to achieve universal bearing support free of mechanical contacts or sticking friction. Thus in the Earth's environment there are two driving mechanisms in the laboratory experiment: buoyant and magnetic forces. However, the effective magnetic gravity can be manipulated to be more than an order of magnitude larger than gravitational acceleration and experiments with an essentially spherically symmetric "gravity" field on Earth can be performed. The "gravitational field" produced by our concept(s) falls off like r-4. We use linear stability calculations to determine critical Rayleigh numbers as function of the shell size and the heat loss from the outer surface. We are thus able to demonstrate the feasibility of producing an intense, central, laboratory force field simulation of a planetary gravitational field in an Earth bound laboratory.

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