ABSTRACT

Taylor’s constraint is generally discussed within the context of fluid contained within a sphere or spherical shell as in Sections 4.3.1 and 4.3.2. However, Taylor’s idea continues to apply when the boundaries are non-spherical, as for example in the case of boundaries with an undulating surface, (bumps, topography) as explored by Bell & Soward (1996). Furthermore, the degenerate case of plane parallel boundaries often employed by dynamo modellers (see, for example, Jones & Roberts, 2000) is worthy of separate attention and has been discussed by Rotvig & Jones (2002).