Nearly symmetric hydromagnetic dynamos

Physics

Scientific paper

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Scientific paper

Most theoretical studies of homogeneous dynamos are concerned with the kinematic problem. This consists in selecting a flow for the body of conducting fluid concerned (e.g. the Earth's core), and attempting to determine whether it can maintain a magnetic field indefinitely against ohmic losses. In this paper, the (more difficult but more realistic) hydromagnetic dynamo is studied, i.e. starting from a selected body force, an attempt is made to solve the equations of fluid motion and electromagnetic induction simultaneously and obtain a permanent magnetic field. It is shown that certain remarkable simplifications, which Braginskiĭ discovered for a class of kinematic dynamos in which the flow is almost axially symmetric, occur also for a class of hydromagnetic dynamos in which the fluid body is rapidly rotating.

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