Mixing the Earth's mantle by thermal convection: A scale dependent phenomenon

Physics

Scientific paper

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Convective Heat Transfer, Correlation, Earth Mantle, Mass Transfer, Mixing, Aspect Ratio, Efficiency, Finite Element Method, Isotopic Labeling, Runge-Kutta Method

Scientific paper

We have investigated the mixing properties of 2D Rayleigh Benard convection in infinite Prandtl number flows. The mixing properties were monitored by injecting tracer particles into previously calculated flow fields. A particle correlation function H(r) and the corresponding dimension have been used to characterize the mixing efficiency of the flow as function of its vigor and its structure. We demonstrate that the chosen method captures the mixing process in a detailed manner. Our study suggests that mixing properties of the flow depend on the spatial scale. At Rayleighnumbers 10(exp 6) less than Ra less than 10(exp 8) heterogeneities within one circulation cell are destroyed rapidly while two adjacent cells can remain unmixed substantially longer.

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