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Stability analysis on the free surface phenomena of a magnetic fluid for general use
| Title: | Stability analysis on the free surface phenomena of a magnetic fluid for general use |
| Authors: | Mizuta, Yo Browse this author →KAKEN DB |
| Keywords: | Magnetic fluid | | Magnetic field | | Free surface | | Instability | | Bifurcation | | Numerical analysis |
| Issue Date: | May-2011 |
| Publisher: | Elsevier B.V. |
| Journal Title: | Journal of Magnetism and Magnetic Materials |
| Volume: | 323 |
| Issue: | 10 |
| Start Page: | 1354 |
| End Page: | 1359 |
| Publisher DOI: | 10.1016/j.jmmm.2010.11.045 |
| Abstract: | This paper presents an analysis for elucidating a variety of physical processes on the interface (free surface) of magnetic fluid. The present analysis is composed of the magnetic and the fluid analysis, both of which have no limitations concerning the interface elevation or its profile. The magnetic analysis provides rigorous interface magnetic field under arbitrary distributions of applied magnetic field. For the fluid analysis, the equation for interface motion includes all nonlinear effects. Physical quantities such as the interface magnetic field or the interface stresses, obtained first as the wavenumber components, facilitate confirming the relations with those by the conventional theoretical analyses. The nonlinear effect is formulated as the nonlinear mode coupling between the interface profile and the applied magnetic field. The stability of the horizontal interface profile is investigated by the dispersion relation, and summarized as the branch line. Furthermore, the balance among the spectral components of the interface stresses are shown, within the sufficient range of the wavenumber space. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/49647 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 水田 洋
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