2006/03/06 by Thomas John, John, Thomas, Dirk Rannacher +4
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #Materials Science (cond-mat.mtrl-sci) #Power Transformer Diagnostics and Insulation #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/0603136
arxiv created 2006/03/06 · openalex publication_date 2006/03/06 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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.