Численное моделирование подавления вынужденных колебаний торцов микрокапельных агрегатов в магнитных жидкостях при увеличении межфазного натяжения
Работая с нашим сайтом, вы даете свое согласие на использование файлов cookie. Это необходимо для нормального функционирования сайта, показа целевой рекламы и анализа трафика. Статистика использования сайта отправляется в «Яндекс» и «Google»
Научный журнал Моделирование, оптимизация и информационные технологииThe scientific journal Modeling, Optimization and Information Technology
Online media
issn 2310-6018

Numerical simulation of suppression of forced oscillations of ends of microdroplet aggregates in magnetic fluids at increase of interfacial tension

Romanenko M.G.   idDrozdova V.I. idShagrova G.V.

UDC 004.942
DOI: -

  • Abstract
  • List of references
  • About authors

The relevance of modeling forced oscillations of microdroplet aggregates included in magnetic fluids is associated with the problem of predicting the parameters of working bodies of new devices and to the creation of new magnetosensitive media with controllable properties. The scientific interest is due to the unique sensitivity of microdroplet aggregates to the magnetic field, high magnetic permeability (for liquid media) and low interfacial tension at the aggregate-environmental liquid interface, which makes it possible to obtain forced oscillations of large amplitude. The nature of oscillations depends on the frequency and strength of the external field, as well as on the parameters of the aggregates. The peculiarities of forced oscillations of microdroplet aggregates at large amplitude are poorly understood; in particular, it is of interest to develop a universal modeling method suitable for computational experiments in a wide range of interfacial tension changes and to investigate the possibility of oscillation suppression with increasing frequency, carried out in this work. The modeling of forced oscillations is based on the energy approach and the assumption that the shape of the aggregate elongated along the field can be represented by an ellipsoid of rotation and its magnetization by a linear dependence on the external magnetic field strength. This allowed for a computational experiment with a change in interfacial tension by an order of magnitude in the range from 2 ∙ 10-6 N/m to 2 ∙ 10-5 N/m and obtain satisfactory agreement with the data of full-scale experiments. As a result of computational experiment, it is found that an increase in interfacial tension leads to a decrease in oscillation amplitude and a reduction in elongation, i.e., it suppresses oscillation. Of practical value is the prediction of the deformation of aggregates under the action of a magnetic field for the development of new materials with controllable properties.

1. Jackson B.A., Terhune K.J., King L.B. Ionic liquid ferrofluid interface deformation and spray onset under electric and magnetic stresses. Physics of Fluids. 2017;29(6):064105 1–064105-10. https://doi.org/10.1063/1.4985141

2. Afkhami S., Tyler A.J., Renardy Y., Renardy M., St. Pierre T.G., Woodward R.C., Riffle J.S. Deformation of a hydrophobic ferrofluid droplet suspended in a viscous medium under uniform magnetic fields. Journal of Fluid Mechanics. 2010;663:358–384. https://doi.org/10.1017/S0022112010003551

3. Rowghanian P., Meinhart C.D., Campàs O. Dynamics of ferrofluid drop deformations under spatially uniform magnetic fields. Journal of Fluid Mechanics. 2016;802:245–262. https://doi.org/10.1017/jfm.2016.447

4. Bratukhin Yu.K., Lebedev A.V. Forced oscillations of a magnetic liquid drop. Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki = Journal of Experimental and Theoretical Physics. 2002;94(6):1114–1120. https://doi.org/10.1134/1.1493163

5. Bacri J.-С., Salin D. Dynamics of the shape transition of a magnetic ferrofluid drop. Journal de Physique Lettres. 1983;44(11):415–420. https://doi.org/10.1051/jphyslet:019830044011041500

6. Gladkikh D.V., Dikanskij Yu.I. Interaction of a droplet magnetic fluid with a variable magnetic field. Zhurnal tekhnicheskoi fiziki = Technical Physics. 2006;51(8):976–980. https://doi.org/10.1134/S1063784206080032

7. Afkhami S., Renardy Y. Ferrofluids and magnetically guided superparamagnetic particles in flows: a review of simulations and modeling. Journal of Engineering Mathematics. 2017;107(1):231–251. https://doi.org/10.1007/s10665-017-9931-9

8. Romanenko M.G., Shagrova G.V., Drozdova V.I. Computer Simulation System for Oscillations of Magnetizable Microdroplets Taking Into Account the Dependence of the Interfacial Tension on the Strength of an External Magnetic Field. Journal of Mathematical Sciences. 2022;260(2):210–218. https://doi.org/10.1007/s10958-022-05685-3

9. Drozdova V.I., Kushnarev V.V., Shagrova G.V. On forced oscillations of microdroplet aggregates in magnetic fluids. Kolloidnyi zhurnal = Colloid Journal. 2006;68(2):142–147. https://doi.org/10.1134/S1061933X06020049

10. Drozdova V.I., Shagrova G.V., Romanenko M.G. The Effect of Interface Tension on Forced Oscillations of Elongated Microdroplet Aggregates in Magnetic Fluids. Journal of Nano- and Electronic Physics. 2014;6(3):03013-1–03013-3.

11. Shtokolova M.N., Yakutenok V.Ya. Numerical simulation of nonviscosous drop oscillations under acting of the surface tension. Optika atmosfery i okeana = Atmospheric and Oceanic Optics. 2007;20(7):609–613. (In Russ.).

Romanenko Marina Gennadievna
Candidate of Technical Sciences, Associate Professor
Email: romarina216@mail.ru

Scopus | eLibrary |

Institute of Digital Development, North Caucasus Federal University

Stavropol, Russian Federation

Drozdova Victoria Igorevna
Doctor of Physico-Mathematical Sciences,, professor
Email: victoria_drozdova@rambler.ru

WoS | Scopus | ORCID | eLibrary |

Institute of Digital Development, North Caucasus Federal University

Stavropol, Russian Federation

Shagrova Galina Vyacheslavovna
Doctor of Physico-Mathematical Sciences,, professor
Email: shagrovagv@mail.ru

WoS | Scopus | ORCID | eLibrary |

Institute of Digital Development, North Caucasus Federal University

Stavropol, Russian Federation

Keywords: numerical modeling, forced oscillations, microdroplet aggregates, interfacial tension, magnetic fluid

For citation: Romanenko M.G. Drozdova V.I. Shagrova G.V. Numerical simulation of suppression of forced oscillations of ends of microdroplet aggregates in magnetic fluids at increase of interfacial tension. Modeling, Optimization and Information Technology. 2024;12(2). Available from: https://moitvivt.ru/ru/journal/pdf?id=1572 DOI: - .

31

Full text in PDF

Received 01.05.2024

Revised 13.05.2024

Accepted 21.05.2024