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Título: Field-induced control of the breakup of ferrofluid droplets in planar extensional and simple shear flows
Autor(es): Guilherme, Arthur Leite
Abdo, Rodrigo Figueiredo
Cunha, Lucas Hildebrand Pires da
Siqueira, Ivan R.
Thompson, Roney L.
Oliveira, Taygoara Felamingo de
ORCID: https://orcid.org/0000-0002-1700-4521
https://orcid.org/0000-0002-7232-4704
https://orcid.org/0000-0001-9613-0659
https://orcid.org/0000-0001-5952-6646
https://orcid.org/0000-0002-3642-0766
https://orcid.org/0000-0003-2957-537X
Afiliação do autor: University of Brasília, Department of Mechanical Engineering, Laboratory of Energy and Environment
Federal Institute of Brasília, Laboratory of Processing and Intelligent Recognition Systems and Analytical Methods
Georgetown University, Institute for Soft Matter Synthesis and Metrology
Pontifícia Universidade Católica do Rio de Janeiro, Department of Mechanical Engineering
Universidade Federal do Rio de Janeiro, Department of Mechanical Engineering
University of Brasília, Department of Mechanical Engineering, Laboratory of Energy and Environment
Assunto: Campos magnéticos
Ferrofluidos
Equações de Navier-Stokes
Maxwell, Equações de
Dinâmica dos fluidos
Data de publicação: 1-Out-2025
Editora: AIP Publishing
Referência: GUILHERME, Arthur L. et al. Field-induced control of the breakup of ferrofluid droplets in planar extensional and simple shear flows. Physics of Fluids, [S. l.], v. 37, n. 10, 2025. DOI: https://doi.org/10.1063/5.0288138. Disponível em: https://pubs.aip.org/aip/pof/article/37/10/103305/3365769/Field-induced-control-of-the-breakup-of-ferrofluid. Acesso em: 18 ago. 2026.
Abstract: This study investigates the breakup of ferrofluid droplets in both planar extensional and simple shear flows under the influence of external magnetic fields. Using a three-dimensional model, we analyze the impact of the external field configuration on the minimum strain rate required to induce droplet breakup, covering a wide range of droplet-to-ambient liquid viscosity ratios. The methodology involves solving the incompressible Navier–Stokes equations augmented by capillary and magnetic terms, Maxwell's equations at the magnetostatic limit, and an evolution equation for the level set function used to capture the droplet interface. In planar extensional flows, we find that magnetic fields applied in the extension direction facilitate droplet breakup, while fields in the compression and neutral directions have the opposite effect. In simple shear flows, we find that magnetic fields applied in either the velocity or vorticity directions prevent droplet breakup. In contrast, we find that magnetic fields applied in the velocity gradient direction induce droplet breakup. Importantly, we show that magnetic fields in the velocity gradient direction can be used to break very viscous droplets, highlighting a strong contrast with the standard case of purely viscous droplets well established in the literature. As importantly, we report a unique tumbling-like dynamics for high viscosity droplets with S- and N-like shapes that periodically return to the initial spherical shape, further underscoring the complex coupling between viscous, capillary, and magnetic effects in magnetic multiphase systems.
Unidade Acadêmica: Faculdade de Tecnologia (FT)
Departamento de Engenharia Mecânica (FT ENM)
Programa de pós-graduação: Programa de Pós-Graduação em Ciências Mecânicas
DOI: https://doi.org/10.1063/5.0288138
Versão da editora: https://pubs.aip.org/aip/pof/article/37/10/103305/3365769/Field-induced-control-of-the-breakup-of-ferrofluid
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