Abstract
The physics of the Kelvin body force and the “buoyancy” it creates is explained. It is demonstrated that, under the Boussinesq approximation, the Kelvin buoyancy can be cast in terms of a spatially variable gravity force. Using the boundary layer approximation, closed form and numerical similarity solutions for steady, laminar, two-dimensional plumes driven by the interaction of a line heat source and a non-uniform magnetic field are obtained and discussed.
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