PMID: 15244731Jul 13, 2004Paper

Time-dependent gap Hele-Shaw cell with a ferrofluid: evidence for an interfacial singularity inhibition by a magnetic field

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
José A Miranda, Rafael M Oliveira

Abstract

We consider the flow of a ferrofluid droplet in a Hele-Shaw cell with a time-dependent gap width. When the surface tension and applied magnetic field are zero, interfacial instabilities develop and the droplet breaks. We execute a mode-coupling approach to the problem and focus on understanding how the development of singularities is affected by the action of an external field. Our analytical results indicate that the introduction of an azimuthal magnetic field profoundly modifies pattern formation, allowing the inhibition of interfacial singularities. We suggest the magnetic field can be used as a controllable parameter to discipline singular behavior.

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Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·José A Miranda

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Citations

Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hermes Gadêlha, José A Miranda
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rafael M Oliveira, José A Miranda
Aug 23, 2007·The European Physical Journal. E, Soft Matter·D P Jackson, J A Miranda
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ching-Yao ChenJosé A Miranda
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eduardo O Dias, José A Miranda
Feb 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pedro H A AnjosJosé A Miranda
Mar 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eduardo O Dias, José A Miranda
Jun 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eduardo O Dias, José A Miranda
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rafael M OliveiraEduardo S G Leandro
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ching-Yao ChenJosé A Miranda
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·José A Miranda, Enrique Alvarez-Lacalle

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