Conference proceeding
Equilibrium shape of ferrofluid in the uniform external field
2017 INTERNATIONAL APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY SYMPOSIUM - ITALY (ACES)
01 Jan 2017
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Abstract
It is well-known that morphology of magnetic or electric ferrofluids is extremely sensitive to the applied external electromagnetic fields. Even in the static regimes, they demonstrate a variety of qualitative and quantitative transformations often mentioned as free surface instabilities. That makes their computational modeling rather challenging. Therefore, for the sake of validation and verification, there is a need for having exact solutions. Modelers noticed that quite often isolated ferrofluids take on the shape of a prolate spheroid. So, there were several claims that a consistent theory allows to prove that isolated drop of ferrofluid exposed to a uniform field, indeed, has a shape of a spheroid. In this paper we analyze this problem one more time using a special technique of the analysis of the equilibrium shape, which traces back to the papers of Eshelby.
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Details
- Title
- Equilibrium shape of ferrofluid in the uniform external field
- Creators
- Michael Grinfeld - US Army, Res Lab, Aberdeen Proving Ground, MD 21005 USAPavel Grinfeld - Drexel UniversityIEEE
- Publication Details
- 2017 INTERNATIONAL APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY SYMPOSIUM - ITALY (ACES)
- Conference
- 2017 INTERNATIONAL APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY SYMPOSIUM - ITALY (ACES)
- Publisher
- IEEE
- Number of pages
- 2
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Mathematics
- Identifiers
- 991019312705704721
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- Domestic collaboration
- Web of Science research areas
- Engineering, Electrical & Electronic