Abstract
In connection with the convection-current model proposed by E. C. Bullard, the problem here considered is whether the magneto-hydrodynamical equations have a solution representing the self-exciting process which is appropriate to the model. In §2, the general expressions for the magneto-hydrodynamical couplings are obtained. In §3, using the results in §2, the problem is reduced to solve (3.6) under the boundary conditions (3.3). This is the eiger-value problem for 4πκaV (κ is the electric conductivity, α the radius of the earth's core, and V the fluid velocity). This eigen-value problem is solved in an approximate way. In §4 and §5, this approximate solution is shown to be good enough for studying the present problem. The results obtained in this paper show that such a self-exciting dynamo is possible by which the earth's main magnetic field is produced and maintained.
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