A study of almost adiabatic convection in thick liquid cores of terrestrial planets

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Scientific paper

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Scientific paper

The convection heat transfer resulting from the flow between two rapidly rotating concentric spheres in almost adiabatic approximation is considered. The choice of physical parameters is based, first of all, on the possible applications to the hydrodynamics of the deep interiors of the Earth and planets and moons of Terrestrial group. We simplify the initial system of equation using asymptotic analysis in a fast rotation limit to a single second-order ODE for the pressure or vertical (z) component of the velocity. A numerical solution to the problem is then obtained for a range of values of the Prandtl number.

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