Simple laminar dynamos: from two rolls to one

The study of laminar flows with simple streamlines in conducting fluids that might support kinematic dynamo action has a long history. Early successful examples include the Gailitis (1970 Gailitis, A. 1970. Self-excitation of a magnetic field by a pair of annular vortices. Mag. Gidrod, 6: 19–22. (English translation: Magnetohydrodynamics, 6:14–17) Google Scholar]) dynamo, which has two meridional rolls. We show here that a single meridional roll, considered as a limit of a modified Gailitis-like dynamo, can also support kinematic dynamo action in a deep spherical shell. This flow has a claim to be the simplest such flow possible.