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Influence of surface tension on the conical miniscus of a magnetic fluid in the field of a current-carrying wire

Thomas John·Dirk Rannacher·Andreas Engel
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Abstract

We study the influence of surface tension on the shape of the conical miniscus built up by a magnetic fluid surrounding a current-carrying wire. Minimization of the total energy of the system leads to a singular second order boundary value problem for the function $ζ(r)$ describing the axially symmetric shape of the free surface. An appropriate transformation regularizes the problem and allows a straightforward numerical solution. We also study the effects a superimposed second liquid, a nonlinear magnetization law of the magnetic fluid, and the influence of the diameter of the wire on the free surface profile.

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Thomas John, Dirk Rannacher, Andreas Engel. 2006-03-06. Influence of surface tension on the conical miniscus of a magnetic fluid in the field of a current-carrying wire. https://arxiv.org/abs/cond-mat/0603136

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