43 research outputs found

    Exact analytical solution based on the vector potential technique for a conjugated hydrodynamic and joule heating problem in an electromagnetically levitated drop

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    The paper presents exact analytical expressions for Lorentz force density and Joule heat power induced by an external alternating electric current inside a magnetically levitated drop. These expressions have been written as the source right-hand-side terms in the analytic solution for the stream function and temperature which were derived previously using Van Dyke’s series-truncation technique. For the first time, a close-form analytical solution for the conjugated hydrodynamic and thermal problems for a spherical drop surrounded by gas was obtained. This method is a robust and fast approach for the evaluation of fluid flow and temperature fields in levitation experiments on rapid solidification of metals.status: publishe
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