The plane layer Childress–Soward dynamo model, consisting of a rotating layer of electrically conducting fluid between horizontal planes heated from below, is studied. Solutions periodic in the horizontal directions are sought, with electrically insulating boundary conditions applied. The large Prandtl number limit is used.
Fully three-dimensional convection-driven dynamos have been studied numerically for this problem. Both the kinematic and the magnetically saturated regimes are studied, and a simple model of the dynamo mechanism is proposed. The dependence of the dynamo on the Rayleigh number, Ekman number and diffusivity ratio is studied, and the role of Taylor's constraint in low Ekman number convection-driven dynamos is considered.
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