Numerical models of thermally and mechanically coupled two-layer convection of highly viscous fluids

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Convective Heat Transfer, Earth Mantle, Free Convection, Geophysical Fluids, Viscous Fluids, Finite Element Method, Isothermal Processes, Nusselt Number, Rayleigh Number

Scientific paper

Thermal convection in the earth mantle is investigated by means of numerical simulations. The mantle models comprise two horizontal layers of viscous incompressible fluid (with identical or differing properties) separated by a fixed horizontal interface; an isothermal, fixed-heat-flux, or insulating lower boundary; and heat supplied either from below or internally (in the lower layer only, equally in both layers, or primarily in the upper layer). The mathematical formulation of the models is explained, and results for linear stability and finite-amplitude convection are presented in extensive tables and graphs and discussed in detail. Particular attention is given to the presence of thermal coupling without interface distortion in many cases, the predominance of long-wavelength cells in the finite-amplitude models, and the large (50 percent) temperature difference across the interface in all cases.

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