Equilibrium Shape of Ferrofluid in the Uniform External Field
Abstract
It is well known that the 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. 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 spheroid co-axial with the applied quasi-uniform field. There were several claims that a consistent theory allows researchers to prove that an isolated drop of ferrofluid exposed to a uniform field, indeed, has a shape of a spheroid. This report will analyze the computational algorithm that allows us to resolve this and similar problems numerically.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 14, 2017
- Accession Number
- AD1037474
Entities
People
- Michael A. Michael A. Grinfeld
- Pavel Grinfeld
Organizations
- United States Army Research Laboratory