Abstract
The two-dimensional problem of the shape of the free surface of a magnetic fluid in a gravity field, a uniform external magnetic field and the nonuniform field of a magnetized metal wedge is considered. The results of numerically calculating the shape of the free surface of a magnetic liquid drop retained on an inclined plane by the field of a magnetizing wedge are presented. The changes in the shape of the free surface of an infinite volume of magnetic liquid near the edge of a wedge with increase in the external field are investigated. It is shown that for a certain critical field some of the magnetic liquid separates and adheres to the edge of the wedge. Experimental data on the determination of the maximum cross-sectional area of a drop retained by the magnetic field of a wedge and the critical rise of the magnetic liquid relative to the level outside the field are presented. The experimental and theoretical results are in agreement.
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Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.4, pp. 113–119, July–August, 1992.
The authors wish to thank V. V. Gogosov for useful discussions and his interest in the work.
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Kiryushin, V.V., Paraskevopulo, O.R. Surface shape of a magnetic liquid drop near the edge of a magnetic wedge. Fluid Dyn 27, 538–543 (1992). https://doi.org/10.1007/BF01051331
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DOI: https://doi.org/10.1007/BF01051331