Wrinkling and folding patterns in a confined ferrofluid droplet with an elastic interface
| Autor: | Sérgio A. Lira, Gabriel D. Carvalho, Pedro H. A. Anjos, José A. Miranda |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Ferrofluid
Materials science Substrate (electronics) Mechanics 01 natural sciences 010305 fluids & plasmas Magnetic field Physics::Fluid Dynamics Folding (chemistry) Nonlinear system 0103 physical sciences Vortex sheet Development (differential geometry) Elasticity (economics) 010306 general physics |
| Zdroj: | Physical Review E. 99 |
| ISSN: | 2470-0053 2470-0045 |
| Popis: | A thin elastic membrane lying on a fluid substrate deviates from its flat geometry on lateral compression. The compressed membrane folds and wrinkles into many distinct morphologies. We study a magnetoelastic variant of such a problem where a viscous ferrofluid, surrounded by a nonmagnetic fluid, is subjected to a radial magnetic field in a Hele-Shaw cell. Elasticity comes into play when the fluids are brought into contact, and due to a chemical reaction, the interface separating them becomes a gel-like elastic layer. A perturbative linear stability theory is used to investigate how the combined action of magnetic and elastic forces can lead to the development of smooth, low-amplitude, sinusoidal wrinkles at the elastic interface. In addition, a nonperturbative vortex sheet approach is employed to examine the emergence of highly nonlinear, magnetically driven, wrinkling and folding equilibrium shape structures. A connection between the magnetoelastic shape solutions induced by a radial magnetic field and those produced by nonmagnetic means through centrifugal forces is also discussed. |
| Databáze: | OpenAIRE |
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