Abstract
Abstract In an earlier paper (Fearn and Proctor, 1984) we described results from a preliminary model of a spherical hydromagnetic dynamo driven by convection. An iterative approach was used. Starting from some guess for the mean toroidal field B we solved for the form of the convective instability in the presence of this field. The mean e.m.f. E [defined in (2.13)] associated with the convection was calculated, and from this, anα-effect was constructed (α=EΦ/B). We then solved a mean fieldαΩ-dynamo model to produce a new “B”. This cycle was repeated until B converged. For a preliminary investigation, there were good reasons for using anα-effect formalism. However, a more straightforward and physically more realistic approach is to use the e.m.f. EΦ directly to force the mean field dynamo. This “EΩ-dynamo” is used here. The converged results of Fearn and Proctor (1984) are successfully reproduced and in addition we have found converged steady dynamos in the absence of any poloidal flow (cf. Roberts, 1972)....
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