Time-dependent convection in the earth's mantle

Physics

Scientific paper

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Convection, Earth Mantle, Incompressible Fluids, Time Dependence, Two Dimensional Flow, Viscous Fluids, Boundary Layers, Nusselt Number, Prandtl Number, Rayleigh Number

Scientific paper

Convection in the earth's mantle is studied using a numerical model which describes time-dependent two-dimensional flow in an incompressible constant viscosity fluid with Newtonian rheology and infinite Prandtl number. The range of Rayleigh numbers studied is believed to encompass conditions which would have existed in a hot Archean mantle. The models suggest that during the Archean (and earlier), boundary layer instabilities developed more frequently than at present and did so with a scale and separation comparable to the thickness of the thin thermal boundary layers, rather than to the depth of the convecting layer itself. The numerical models indicate that motions at the upper surface of time-dependent convection cells are predominantly controlled by transient sinking plumes and converge directly towards the source region of the sinking plumes. Rising plumes have a more diffuse influence on the upper surface, and surface diveregence does not always occur immediately above a rising plume.

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