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Faraday instability on viscous ferrofluids in a horizontal magnetic field: Oblique rolls of arbitrary orientation | | V. V. Mekhonoshin
; Adrian Lange
; | | Date: |
9 Apr 2002 | | Journal: | Phys. Rev. E 65, 061509 (2002) | | Subject: | Pattern Formation and Solitons | nlin.PS | | Abstract: | A linear stability analysis of the free surface of a horizontally unbounded ferrofluid layer of arbitrary depth subjected to vertical vibrations and a horizontal magnetic field is performed. A nonmonotonic dependence of the stability threshold on the magnetic field is found at high frequencies of the vibrations. The reasons of the decrease of the critical acceleration amplitude caused by a horizontal magnetic field are discussed. It is revealed that the magnetic field can be used to select the first unstable pattern of Faraday waves. In particular, a rhombic pattern as a superposition of two different oblique rolls can occur. A scaling law is presented which maps all data into one graph for the tested range of viscosities, frequencies, magnetic fields and layer thicknesses. | | Source: | arXiv, nlin.PS/0204008 | | Other source: | [GID 879557] pmid12188734 | | Services: | Forum | Review | PDF | Favorites | |
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