Three-dimensional infinite Prandtl number convection in one and two layers with implications for the earth's gravity field

Physics

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Earth Mantle, Geophysical Fluids, Gravity Anomalies, Planetary Gravitation, Convective Heat Transfer, Perturbation Theory, Prandtl Number, Velocity Distribution, Viscosity

Scientific paper

A numerical method combining spectral and finite difference methods is used to investigate the three-dimensional planform of infinite Prandtl number convection in one and two layers, with application to the earth's mantle and gravity anomaly field. When the ratio of the lower layer viscosity to the upper one is small, viscous coupling prevails, while when the viscosity ratio is high, thermal coupling becomes dominant. For moderate viscosity ratios, the flow direction of the rolls in the thin upper layer becomes perpendicular to that of the lower layer. The results suggest that the gravity and bathymetry anomalies of the earth are not negatively correlated.

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