Year: 2018
Communications in Computational Physics, Vol. 24 (2018), Iss. 2 : pp. 332–355
Abstract
A fully three-dimensional numerical study of the dynamics and field-induced deformation of a sheared, superparamagnetic ferrofluid droplet immersed in a Newtonian viscous fluid is presented. The system is a three-dimensional, periodic channel with top and bottom walls displaced to produce a constant shear rate and with an external, uniform magnetic field perpendicular to the walls. The model consists of the incompressible Navier-Stokes equations with the extra magnetic stress coupled to the static Maxwell's equations. The coupled system is solved with unprecedented resolution and accuracy using a fully adaptive, Immersed Boundary Method. For small droplet distortions, the numerical results are compared and validated with an asymptotic theory. For moderate and strong applied fields, relative to surface tension, and weak flows a large field-induced droplet deformation is observed. Moreover, it is found that the droplet distortion in the vorticity direction can be of the same order as that occurring in the shear plane. This study highlights the importance of the three-dimensional character of a problem of significant relevance to applications, where a dispersed magnetic phase is employed to control the rheology of the system.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2017-0161
Communications in Computational Physics, Vol. 24 (2018), Iss. 2 : pp. 332–355
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Drop ferrofluid front-tracking method shear flow.
-
A Level Set-Based Solver for Two-Phase Incompressible Flows: Extension to Magnetic Fluids
Makaremi-Esfarjani, Paria | Higgins, Andrew J. | Najafi-Yazdi, AlirezaInternational Journal of Computational Fluid Dynamics, Vol. 37 (2023), Iss. 7 P.565
https://doi.org/10.1080/10618562.2024.2334073 [Citations: 1] -
Magnetic field effects on the surfactant concentration over ferrofluid droplet surfaces in shear flows
Pimenta, P.H.N. | Rebouças, R.B. | Oliveira, T.F.Journal of Colloid and Interface Science, Vol. 662 (2024), Iss. P.438
https://doi.org/10.1016/j.jcis.2024.02.036 [Citations: 0] -
On the rheology and magnetization of dilute magnetic emulsions under small amplitude oscillatory shear
Abdo, Rodrigo F. | Abicalil, Victor G. | Cunha, Lucas H.P. | Oliveira, Taygoara F.Journal of Fluid Mechanics, Vol. 955 (2023), Iss.
https://doi.org/10.1017/jfm.2022.1019 [Citations: 3] -
Optical Effect in Magnetic Emulsions Induced by a Magnetic Field
Belykh, S. S. | Erin, K. V.Optics and Spectroscopy, Vol. 129 (2021), Iss. 11 P.1200
https://doi.org/10.1134/S0030400X2109006X [Citations: 3] -
Effects of external magnetic fields on the rheology and magnetization of dilute emulsions of ferrofluid droplets in shear flows
Cunha, L. H. P. | Siqueira, I. R. | Cunha, F. R. | Oliveira, T. F.Physics of Fluids, Vol. 32 (2020), Iss. 7
https://doi.org/10.1063/5.0009983 [Citations: 31] -
On the magnetization of dilute ferrofluid emulsions in shear flows
Abicalil, Victor Guinancio e | Abdo, Rodrigo Figueiredo | da Cunha, Lucas Hildebrand Pires | de Oliveira, Taygoara FelamingoPhysics of Fluids, Vol. 33 (2021), Iss. 5
https://doi.org/10.1063/5.0050643 [Citations: 14] -
Ferrofluid droplets in planar extensional flows: Droplet shape and magnetization reveal novel rheological signatures of ferrofluid emulsions
Guilherme, A. L. | Siqueira, I. R. | Cunha, L. H. P. | Thompson, R. L. | Oliveira, T. F.Physical Review Fluids, Vol. 8 (2023), Iss. 6
https://doi.org/10.1103/PhysRevFluids.8.063601 [Citations: 4] -
Deformation and breakup of a ferrofluid droplet in shear flow under magnetic field
Kawabata, Yuto | Ishida, Shunichi | Imai, YohsukePhysics of Fluids, Vol. 36 (2024), Iss. 3
https://doi.org/10.1063/5.0203057 [Citations: 2] -
A three-dimensional boundary element method algorithm for simulations of magnetic fluid droplet dynamics
Langins, Aigars | Stikuts, Andris Pāvils | Cēbers, AndrejsPhysics of Fluids, Vol. 34 (2022), Iss. 6
https://doi.org/10.1063/5.0092532 [Citations: 9] -
Rheology of a dilute ferrofluid droplet suspension in shear flow: Viscosity and normal stress differences
Ishida, Shunichi | Matsunaga, DaikiPhysical Review Fluids, Vol. 5 (2020), Iss. 12
https://doi.org/10.1103/PhysRevFluids.5.123603 [Citations: 15] -
Deformation of a ferrofluid droplet in simple shear flows under uniform magnetic fields
Hassan, Md Rifat | Zhang, Jie | Wang, ChengPhysics of Fluids, Vol. 30 (2018), Iss. 9
https://doi.org/10.1063/1.5047223 [Citations: 52]