Features in ferrocolloid convection in the presence of gravitational and magnetic fields
DOI:
https://doi.org/10.17072/1994-3598-2018-1-54-64Abstract
Convection flows in magneto-polarisable colloids placed in a uniform external magnetic field and the influence of the deformation of magnetic field lines due to their refraction at the boundary separating regions with different magnetic properties are considered. Other factors such as the geometry of an experimental chamber and thermally induced variation of a fluid magnetisation are taken into account. It is noted that gravitational sedimentation of solid phase (magnetic particles and their aggregates) as well as thermophoresis in a non-isothermal fluid leads to the formation of its density and magnetisation gradients. These gradients as well as the non-uniformity of the internal magnetic field that they induce are shown to affect strongly the stability of a motionless conduction state and the character of convection flows arising when such a state is destabilised. The deformation of magnetic field near the boundaries of an experimental chamber is shown to reduce the critical value of the temperature gradient for the onset of convection due to the appearance of near-boundary magneto-convective flows caused by the field non-uniformity there. In contrast, concentrational density gradients lead to the stabilisation of a motionless state and the appearance of a hysteresis when convection sets and decays at different values of the governing parameters. The interaction of thermal and concentrational density gradients is found to be responsible for the onset of oscillatory convection and its spontaneous excitation and decay as well as for the appearance of layered structures in tall fluid layers. Oscillatory convection is also shown to arise due to symmetry breaking occurring when the magnetic field lines are inclined with respect to the surface of a ferrocolloid.References
Finlayson B. A. Convective instability of ferromagnetic fluids. Journal of Fluid Mechanics, 1970, vol. 40, no. 4, pp. 753−767. DOI: 10.1017/S0022112070000423
Engler H., Borin D., Odenbach S. Thermomagnetic convection influenced by the magnetoviscous effect. Journal of Physics: Conference Series, 2009, vol. 149, 012105. DOI: 10.1088/1742-6596/149/1/012105
Bozhko A. A., Putin G. F. Heat transfer and flow patterns in ferrofluid convection. Magnetohydrodynamics, 2003, vol. 39, no 2, pp. 147−168.
Bozhko A. A., Putin G. F., Sidorov A. S., Suslov S. A. Convection in a vertical layer of stratified magnetic fluid. Magnetohydrodynamics, 2013, vol. 49, no. 1, pp. 143–152.
Krauzina M. T., Bozhko A. A., Putin G. F., Suslov S. A. Intermittent flow regimes near the convection threshold in ferromagnetic nanofluids. Physical Review E, 2015, vol. 91, 013010. DOI: 10.1103/PhysRevE.91.013010
Buzmakov V. M., Pshenichnikov A. F. On the structure of microaggregates in magnetitecolloids. Journal of Colloid and Interface Science, 1996, vol. 182, no. 1, pp. 63–70. DOI: 10.1006/jcis.1996.0437
Pop L. M., Odenbach S. Investigation of microscopic reason for the magnetoviscous effect in ferrofluid studied by small angle neutron scattering. Journal of Physics: Condensed Matter, 2006, vol. 18, S2785. DOI: 10.1088/0953-8984/18/38/S17
Bozhko A. A. Teplovaya konvekciya magnitnyh zhidkostej v gravitacionnom i magnitnom polyah (Thermal convection of magnetic fluids in gravitational and magnetic fields). Doctor of Sciences Thesis, Perm: PSU, 2011, 289 p. (In Russian).
Gershuni G.Z., Zhukhovitsky E.M. Convective stability of incompressible fluid. Jerusalem: Keter Publications, 1976, 330 p.
Bashtovoy V. G., Berkovsky B. M., Vislovich A. N. Introduction to thermomechanics of magnetic fluids. Moscow: Institute of High Temperatures of the Russian Academy of Sciences, 1985, 188 p. (in Russian)
Blums E., Cebers A. O., Maiorov M. M. Magnetic Fluids. Berlin–New York: Walter de Gruyter & Co., 1997, 416 p.
Suslov S. A., Bozhko A. A., Putin G. F., Sidorov A. S. Thermomagnetic convective flows in a vertical layer of ferrocolloid: perturbation energy analysis and experimental study. Physical Re-view E, 2012, vol. 86, 016301. DOI: 10.1103/PhysRevE.86.016301
Odenbach S. Magnetoviscous effects in ferrofluids. Springer, 2002. 151 p.
Volker T., Odenbach S. The influence of a uniform magnetic field on the Soret coefficient of magnetic nanoparticles // Physics of Fluids. 2003. Vol. 15. P. 2198–2207. DOI: 10.1063/1.1584435
Landau L. D., Lifshits E. M. Electrodynamics of continuous media. Pergamon Press, 1963. 417 p.
Kalashnikov S. G. Elektrichestvo. Мoscow: Fizmatlit, 2003, 624 p. (In Russian).
Krakov M. S., Nikiforov I. V., Reks A. G. Influence of the uniform magnetic field on natural convection in cubic enclosure: experiment and numerical simulation. Journal of Magnetism and Magnetic Materials, 2005, vol. 289, pp. 272–274. DOI: 10.1016/j.jmmm.2004.11.077
Kaneda M., Tagawa T., Ozoe H. Convection induced by a cusp-shaped magnetic field for air in a cube heated from above and cooled from below. Journal of Heat Transfer, 2002, vol. 124, no. 1, pp. 17–25. DOI: 10.1115/1.1418369
Schwab L., Hildebrandt U., Stierstadt K. Magnetic Benard convection. Journal of Magnetism and Magnetic Materials, 1983, vol. 39, no. 1-2, pp. 113–114. DOI: 10.1016/0304-8853(83)90412-2
Bozhko A A., Bratukhin Yu. K., Putin G. F. Modeling of convective processes in magneto polarized liquid phase. Growth of monocrystals and heat transfer. Proceedings of 6th Int. Conference, Obninsk. 2005. Vol. 3. P. 570–579. (in Russian)
Bozhko A., Bratukhin Yu., Putin G. Heat and mass transfer features in magnetopolarized colloids. CD-ROM Proceedings of the 22nd International Congress of Theoretical and Applied Mechanics (ICTAM 2008). Adelaide, Australia. 2008, 2 p.
Suslov S. A., Rahman H. Thermomagnetic convection in a layer of ferrofluid placed in a uniform oblique external magnetic field. Journal of Fluid Mechanics, 2015, vol. 764, pp. 316−348. DOI: 10.1017/jfm.2014.709
Bogatyrev G. P., Shaidurov G. F. Convection stability of a horizontal ferrofluid layer in the presence of homogeneous magnetic field. Magnetohydrodynamics, 1976, vol. 12, no. 3, pp. 374–383.
Bodenschatz E., Pesch W., Ahlers G. Recent developments in Rayleigh-Benard convection. Annual Review of Fluid Mechanics, 2000, vol. 32, pp. 709–778. DOI: 10.1146/annurev.fluid.32.1.709
Bozhko A. A., Putin G. F. Wave convection regimes in an inclined layer of nanofluid. Bulletin of Perm State University. Series: Mathematics. Mechanics. Information Science, 2012, no. 4 (12), pp. 17–24. (In Russian).
Normand Ch., Pomeau Y., Velarde M. G. Convective instability: a physicist’s approach. Reviews of Modern Physics, 1977, vol. 49, no. 3. pp. 581‒624. DOI: 10.1103/RevModPhys.49.581
Paliwal R. C., Chen C. F. Double-diffusive instability in an inclined fluid layer. Part 1. Experimental investigations. Journal of Fluid Me-chanics, 1980, vol. 98, no. 4, pp. 755–768.
DOI: 10.1017/S0022112080000377
Schwab L. Field-induced wavevector-selection by magnetic Benard convection. Journal of Magnetism and Magnetic Materials, 1987, vol. 65, no. 2-3, pp. 315–316. DOI: 10.1016/0304-8853(87)90059-X
Getling A. V. Rayleigh-Benard convection: Structures and Dynamics. Singapore: World Scientific, 1998, 256 p.
Downloads
Published
How to Cite
Issue
Section
License
Автор предоставляет Издателю журнала (Пермский государственный национальный исследовательский университет) право на использование его статьи в составе журнала, а также на включение текста аннотации, полного текста статьи и информации об авторах в систему «Российский индекс научного цитирования» (РИНЦ).
Автор даёт своё согласие на обработку персональных данных.
Право использования журнала в целом в соответствии с п. 7 ст. 1260 ГК РФ принадлежит Издателю журнала и действует бессрочно на территории Российской Федерации и за её пределами.
Авторское вознаграждение за предоставление автором Издателю указанных выше прав не выплачивается.
Автор включённой в журнал статьи сохраняет исключительное право на неё независимо от права Издателя на использование журнала в целом.
Направление автором статьи в журнал означает его согласие на использование статьи Издателем на указанных выше условиях, на включение статьи в систему РИНЦ, и свидетельствует, что он осведомлён об условиях её использования. В качестве такого согласия рассматривается также направляемая в редакцию справка об авторе, в том числе по электронной почте.
Редакция размещает полный текст статьи на сайте Пермского государственного национального исследовательского университета: http://www.psu.ru и в системе OJS на сайте http://press.psu.ru
Плата за публикацию рукописей не взимается. Гонорар за публикации не выплачивается. Авторский экземпляр высылается автору по указанному им адресу.
