Publicado 4 números por año
ISSN Imprimir: 2169-2785
ISSN En Línea: 2167-857X
Indexed in
BEHAVIOR OF A BUBBLE IN DIELECTRIC LIQUID IN UNIFORM AND NON-UNIFORM ELECTRIC FIELDS
SINOPSIS
We simulated the behavior of vapor and gas-vapor bubbles in dielectric liquid under the action of an electric field. The thermal multiphase lattice Boltzmann method was used to calculate the fluid dynamics. After applying the electric voltage, the bubble was deformed. In the uniform field (in which electrodes occupied all of the boundaries), the bubble was elongated along the direction of the average electric field and the degree of deformation was then calculated, which was close to experimentally obtained results. When the electrodes were smaller than the size of the computational domain, the field was non-uniform. The field magnitude was higher between the electrodes and decreased outside of the electrodes. In this case, the bubble was stretched in the direction normal to the electric field due to the forces acting on the inhomogeneous dielectric fluid. Moreover, for sufficiently small electrodes, the bubble escaped outside of the electrodes. This type of interesting behavior has been previously observed in experiments of Korobeynikov et al.
-
Beroual, A., Behaviour of Charged and Uncharged Bubbles in Dielectric Liquids Subjected to Electric Stress, J. Appl. Phys, vol. 71, no. 3, pp. 1142-1145,1992.
-
Borthakur, M.P., Biswas, G., and Bandyopadhyay, D., Dynamics of Drop Formation from Submerged Orifices under the Influence of Electric Field, Phys. Fluids, vol. 30, p. 122104,2018.
-
Garton, C.G. and Krasucki, Z., Bubbles in Insulating Liquids: Stability in an Electric Field, Proc. R. Soc., vol. A280, no. 1381, pp. 211-226, 1964.
-
Koelman, J.M.V.A., A Simple Lattice Boltzmann Scheme for Navier-Stokes Fluid Flow, Europhys. Lett., vol. 15, no. 6, pp. 603-607, 1991.
-
Korobeynikov, S.M., Bubble Deformation in an Electric Field, J. Eng. Phys., vol. 36, no. 5, pp. 588-589,1979.
-
Korobeynikov, S.M., Ridel, A.V., and Medvedev, D.A., Deformation of Bubble in Transformer Oil at the Action of Alternating Electric Field, Eur. J. Mech. B Fluids, vol. 75, pp. 105-109, 2019.
-
Krasucki, Z., Breakdown of Liquid Dielectrics, Proc. R. Soc., vol. A294, no. 1438, pp. 393-404, 1966.
-
Kupershtokh, A.L., Criterion of Numerical Instability of Liquid State in LBE Simulations, Comput. Math. Appl., vol. 59, no. 7, pp. 2236-2245,2010.
-
Kupershtokh, A.L., Karpov, D.I., Medvedev, D.A., Stamatelatos, C.P., Charalambakos, V.P., Pyrgioti, E.C., and Agoris, D.P., Stochastic Models of Partial Discharge Activity in Solid and Liquid Dielectrics, IET Sci. Meas. Technol, vol. 1, no. 6, pp. 303-311,2007.
-
Kupershtokh, A.L. and Medvedev, D.A., Lattice Boltzmann Method in Electrohydrodynamic Problems, J. Electrostal, vol. 64, nos. 7-9, pp. 581-585,2006.
-
Kupershtokh, A.L., Medvedev, D.A., and Gribanov, I.I., Thermal Lattice Boltzmann Method for Multiphase Flows, Phys. Rev. E, vol. 98, no. 2, p. 023308,2018.
-
Kupershtokh, A.L., Medvedev, D.A., and Karpov, D.I., On Equations of State in a Lattice Boltzmann Method, Comput. Math. Appl., vol. 58, no. 5, pp. 965-974, 2009.
-
Landau, L.D. and Lifshitz, E.M., Electrodynamics of Continuous Media, Oxford, U.K.: Pergamon Press, 1959.
-
Liu, Y., Oh, K., Bai, J.G., Chang, C.-L., Yeo, W., Chung, J.-H., Lee, K.-H., and Liu, W.K., Manipulation of Nanoparticles and Biomolecules by Electric Field and Surface Tension, Comput. Methods Appl. Mech. Eng., vol. 197, nos. 25-28, pp. 2156-2172, 2008.
-
Masoudnia, M. and Fatahi, M., Electric Field Effect on the Rise of Single Bubbles during Boiling, Int. J. Mech. Mech. Eng., vol. 10, no. 6, pp. 1138-1143,2016.
-
McNamara, G.R. and Zanetti, G., Use of the Boltzmann Equation to Simulate Lattice-Gas Automata, Phys. Rev. Lett., vol. 61, no. 20, pp. 2332-2335, 1988.
-
Ogata, S., Tan, K., Nishijima, K., and Chang, J.-S., Development of Improved Bubble Disruption and Dispersion Technique by an Applied Electric Field Method, AIChEJ., vol. 31, no. 1, pp. 62-69, 1985.
-
Qian, Y.H. and Chen, S., Finite Size Effect in Lattice-BGK Models, Int. J. Mod. Phys. C, vol. 8, no. 4, pp. 763-771, 1997.
-
Qian, Y.H., d'Humieres, D., and Lallemand, P., Lattice BGK Models for Navier-Stokes Equation, Europhys. Lett., vol. 17, no. 6, pp. 479-484, 1992.
-
Shaw, S.J. and Spelt, P.D.M., Critical Strength of an Electric Field Whereby a Bubble Can Adopt a Steady Shape, Proc. R. Soc. A, vol. 465, no. 2110, pp. 3127-3143,2009.
-
Talaat, M. and El-Zein, A., Analysis of Air Bubble Deformation Subjected to Uniform Electric Field in Liquid Dielectric, Int. J. Electromagn. Appl., vol. 2, no. 1, pp. 4-10,2012.
-
Tsujikawa, Y., Onoda, M., Nakayama, H., and Amakawa, K., Partial Discharge in a Void Filled with Sulfur Hexafluoride and Formation of Sulfide, Jpn. J. Appl. Phys, vol. 27/2, no. 3, pp. L451-L453, 1988.
-
Wang, H., Liu, L., and Liu, D., Equilibrium Shapes of a Heterogeneous Bubble in an Electric Field: A Variational Formulation and Numerical Verification, Proc. R Soc. A, vol. 473, no. 2199, p. 20160744, 2017a.
-
Wang, Y., Sun, D., Zhang, A., and Yu, B., Numerical Simulation of Bubble Dynamics in the Gravitational and Uniform Electric Field, Numer. Heat Transf, Part A, vol. 71, no. 10, pp. 1034-1051, 2017b.
-
Zubarev, N.M. and Zubareva, O.V., Exact Solutions for the Evolution of a Bubble in an Ideal Liquid in a Uniform External Electric Field, J. Exp. Theor. Phys, vol. 120, pp. 155-160,2015.
-
Medvedev D. A., Kupershtokh A. L., Electric control of dielectric droplets and films, Physics of Fluids, 33, 12, 2021. Crossref