  It is believed that some stars have two or more convection zones in close
proximity near to the stellar photosphere. These zones are separated by
convectively stable regions that are relatively narrow. Due to the close
proximity of these regions it is important to construct mathematical models to
understand the transport and mixing of passive and dynamic quantities. One key
quantity of interest is a magnetic field, a dynamic vector quantity, that can
drastically alter the convectively driven flows, and have an important role in
coupling the different layers. In this paper we present the first investigation
into the effect of an imposed magnetic field in such a geometry. We focus our
attention on the effect of field strength and show that, while there are some
similarities with results for magnetic field evolution in a single layer, new
and interesting phenomena are also present in a three layer system.
