Abstract
Recirculating flows (with closed streamlines) are observed in many situations. In classical hydrodynamics, they are often due to a separation of a boundary layer, for example at sharp edge of a wall (flows in cavities or below a step). Here we consider recirculating flows generated by rotational electromagnetic forces. This situation is analogous to natural convection. To a first approximation, the distribution of external forces can be simplified to the gradient of a potential, and the fluid remains at rest (see chapter 3, § II). However, as soon as we wish to refine this distribution, the differences in gravity forces between various points can make the curl non-zero. Then the resultant of the applied forces in a given fluid domain no longer passes through its centre of gravity. A torque is therefore present which generates vorticity in the fluid.
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Moreau, R. (1990). Recirculating flows. In: Magnetohydrodynamics. Fluid Mechanics and Its Applications, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7883-7_6
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DOI: https://doi.org/10.1007/978-94-015-7883-7_6
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