Dynamics of Nonmagnetic Liquid and Gaseous Inclusions in a magnetic Fluidin the Magnetic Field of a Ring Magnet

Purpose. The aim of the work is to study the dynamics of non-magnetic gas bubbles and droplets in a magnetic liquid in an inhomogeneous magnetic field

Methods. The experiments were carried out on installations developed on the basis of known methods and equipment for magnetic measurements and manufactured independently). Modern digital high-speed video recording systems with high resolution are used as measuring systems. Samples of magnetite magnetic fluid, oleic acid as a surfactant, and kerosene as a carrier fluid are studied.

Results. Two options for studying a levitating nonmagnetic volume in a magnetic fluid are experimentally considered: with contactless manipulation in a measuring cell with a magnetic fluid using an inhomogeneous magnetic field created by an annular permanent magnet, as a result of which nonmagnetic drops or gas bubbles separated from it and floated up, as well as during injection non-magnetic phase with a syringe pump through a capillary, the end of which was located in the "magnetic vacuum region" of a non-uniform magnetic field.

Conclusion. Within the framework of the theoretical interpretation, it is shown that the configuration of the inhomogeneous magnetic field and the properties of the magnetofluid system play a decisive role in the formation of a levitating nonmagnetic volume. It has been experimentally demonstrated that the sizes of non-magnetic inclusions floating up in a magnetic-fluid system in an inhomogeneous magnetic field do not depend on the flow rate and hydrostatic pressure, while it is possible to control the size of non-magnetic liquid and gaseous inclusions by changing the parameters of magnetic fluids and the magnetic field, which can be used in as micro-batchers or gas meters in microfluidic systems.

1. Nakatsuka K., Jeyadevan B., Akagami Y., Torigoea T., Asari S. Visual observation of the effect of magnetic field on moving air and vapor bubbles in a magnetic fluid. Journal of Magnetism and Magnetic Materials,1999, vol. 201, no. 1-3, рр. 256–259.

2. Lee W. K., Scardovelli R., Trubatch A. D., Yecko P. Numerical, experimental, and theoretical investigation of bubble aggregation and deformation in magnetic fluids. Physical Review E, 2010, vol. 82, no. 1, рр. 016302.

3. Kuwahara T., De Vuyst F., Yamaguchi H. Bubble velocity measurement using magnetic fluid and electromagnetic induction. Physics of Fluids, 2009, vol. 21, no. 9, рр. 097101.

4. Malvar S., Gontijo R. G., Cunha F. R. Nonlinear motion of an oscillating bubble immersed in a magnetic fluid. Journal of Engineering Mathematics, 2018, vol. 108, no. 1, рр. 143–170.

5. Ueno K., Nishita T., Kamiyama S. Numerical simulation of deformed single bubbles rising in magnetic fluid. Journal of Magnetism and Magnetic Materials, 1999, vol. 201, no. 1-3, рр. 281–284.

6. Tatulchenkov A., Cebers A. Shapes of a gas bubble rising in the vertical Hele–Shaw cell with magnetic liquid. Journal of Magnetism and Magnetic Materials, 2005, vol. 289, рр. 373–375.

7. Yamasaki H., Yamaguchi H. Numerical simulation of bubble deformation in magnetic fluids by finite volume method. Journal of Magnetism and Magnetic Materials, 2017, vol. 431, рр. 164–168.

8. Ki K. Level set method for two-phase incompressible flows under magnetic fields. Computer Physics Communications, 2010, vol. 181, no. 6, рр. 999–1007.

9. Korlie M., Mukherjee S. A., Nita B. G., Stevens J. G., Trubatch A. D., Yecko P. Modeling bubbles and droplets in magnetic fluids. Journal of Physics: Condensed Matter, 2008, vol. 20, no. 20, рр. 204143.

10. Tian X. H., Shi W. Y., Tang T., Feng L. Influence of vertical static magnetic field on behavior of rising single bubble in a conductive fluid. ISIJ International, 2016, vol. 56, no. 2, рр. 195–204.

11. Dizaji A. S., Mohammadpourfard M., Aminfar H. A numerical simulation of the water vapor bubble rising in ferrofluid by volume of fluid model in the presence of a magnetic field. Journal of Magnetism and Magnetic Materials, 2018, vol. 449, рр. 185–196.

12. Hu Y., Li D., Niu X. Phase-field-based lattice Boltzmann model for multiphase ferrofluid flows. Physical Review E, 2018, vol. 98, no. 3, рр. 033301.

13. Sofonea V., Früh W.-G., Cristea A. Lattice Boltzmann model for the simulation of interfacial phenomena in magnetic fluids. Journal of Magnetism and Magnetic Materials, 2002, vol. 252, рр. 144–146.

14. Li Y., Niu X. D., Khan A., Li D. C., Yamaguchi H. A numerical investigation of dynamics of bubbly flow in a ferrofluid by a self-correcting procedure-based lattice Boltzmann flux solver. Physics of Fluids, 2019, vol. 31, no. 8, рр. 082107.

15. Ryapolov P. A., Sokolov E. A., Shabanova I. A., Vasilyeva A. O., Kalyuzh- naya D. A., Kuzko A. V. Povedenie kapel' vody v magnitnoi zhidkosti v neodnorodnom magnitnom pole kol'tsevogo magnita [Behavior of water drops in a magnetic fluid in an inhomogeneous magnetic field of a ring magnet]. Izvestiya Yugo-Zapadnogo gosudarstvennogo universiteta. Seriya: Tekhnika i tekhnologii = Proceedings of the Southwest State University. Series: Engineering and Technologies, 2020, vol. 10, no. 3, рр. 45–57.

16. Bashtovoi V., Kovalev M., Reks A. Instabilities of bubbles and droplets flows in magnetic fluids. Journal of Magnetism and Magnetic Materials, 2005, Vol. 289, рр. 350–352.

17. Yamasaki H., Kishimotob T., Tazawa T., Yamaguchi H. Dynamic behavior of gas bubble detached from single orifice in magnetic fluid. Journal of Magnetism and Magnetic Materials, 2020, vol. 501, рр. 166446.

18. Ryapolov P. A., Polunin V. M., Postnikov E. B., Bashtovoi V. G., Reks A. G., Sokolov E. A. The Behaviour of Gas Inclusions in a Magnetic Fluid in a Non-Uniform Magnetic Field. Journal of Magnetism and Magnetic Materials, 2020, vol. 497, рр. 165925.

19. Korlie M. S., Mukherjee A., Nita B. G., Stevens J. G., Trubatch A. D., Yecko P. Modeling bubbles and droplets in magnetic fluids. Journal of Physics: Condensed Matter, 2008, vol. 20, no. 20, рр. 204143.

20. Tian X. H., Shi W. Y., Tang T., Feng L. Influence of vertical static magnetic field on behavior of rising single bubble in a conductive fluid. ISIJ International, 2016, vol. 56, no. 2, рр. 195–204.

21. Khan A., Niu X. D., Li Q. Z., Li Y., Li D., Yamasaki H. Dynamic study of ferrodroplet and bubbles merging in ferrofluid by a simplified multiphase lattice Boltzmann method. Journal of Magnetism and Magnetic Materials, 2020, vol. 495, рр. 165869.