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Atomization and Sprays
ELECTROHYDRODYNAMIC INSTABILITY OF A STREAMING DIELECTRIC VISCOUS LIQUID JET WITH MASS AND HEAT TRANSFER
M. F. E. Amer
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy 11757, Cairo, Egypt
G. M. Moatimid
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt
The current paper investigates the electrohydrodynamic (EHD) instability of a streaming dielectric liquid jet. The inner medium is occupied by an incompressible Newtonian viscous fluid. Simultane-ously, the outer medium is filled with an incompressible gas. The system is pervaded by a uniform
axial electrostatic field. The mass and heat transfer phenomenon is taken into account. In order to relax the mathematical manipulation, a simplified modulation of this system is adopted. The normal modes analysis is utilized to solve the boundary-value problem and to judge the linear stability of the system. A non-dimensional treatment reveals two non-dimensional numbers:Weber and Ohnesorge. The linear stability analysis resulted in a very complicated transcendental dispersion equation. The same numbers are considered with regard to the temporal and spatial increase of both frequency and modulation. The influences of various physical parameters in the stability profile are exercised as
well. It is found that the velocity ratio between gas to liquid has a dual role in the stability profile. Moreover, the Weber number has a destabilizing effect, which produces a higher growth rate and, thus, shorter breakup time. In addition, the presence of the electric field as well as the mass and heat
transfer stabilize the viscous liquid jet. Furthermore, the viscous effect as indicated by the Ohnesorge number has a stabilized influence. The present work gives a good foundation of the investigation of the instability and breakup of a viscous liquid jet with electric field effect and mass and heat transfer existence.
Adham-Khodaparast,K., Kawaji,M., and Antar, B.N., The Rayleigh-Taylor andKelvin Helmholtz Stability of a Viscous Liquid-Vapor Interface with Heat and Mass Transfer, Phys. Fluids, vol. 7, no. 2, pp. 359-364, 1995.
Bard, A.J., Startmann, B., Gileadi, E., Startmann, M., and Urbakh, M., Thermodynamics and Electrified Interfaces, Weinheim, Germany: Wiley-VCH Verlag, 2002.
Boiko, V.M., Nesterov, A.Yu., and Poplavski, S.V., Liquid Atomization in a High-Speed Coaxial Gas Jet, Thermophys. Aeromech., vol. 26, no. 3, pp. 385-398, 2019.
Brenn, G., Liu, Z., and Durst, F., Linear Analysis of the Temporal Instability of Axisymmetrical Non-Newtonian Liquid Jets, Int. J. Multiphase Flow, vol. 26, pp. 1621-1644, 2000.
Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability, New York, NY: Dover Publications, 1961.
Eggers, J. and Villermaux, E., Physics of Liquid Jets, Rep. Prog. Phys., vol. 71, p. 036601, 2008.
El-Sayed, M.F., Moatimid, G.M., Elsabaa, F.M.F., and Amer, M.F.E., Axisymmetric and Asymmetric Instabilities of a Non-Newtonian Liquid Jet Moving in an Inviscid Streaming Gas through Porous Media, J. Porous Media, vol. 19, no. 9, pp. 751-769, 2016b.
El-Sayed, M.F., Moatimid, G.M., Elsabaa, F.M.F., and Amer, M.F.E., Electrohydrodynamic Instability of a Non-Newtonian Dielectric Liquid Jet Moving in a Streaming Dielectric Gas with a Surface Tension Gradient, Atomization Sprays, vol. 26, no. 4, pp. 349-376, 2016a.
El-Sayed, M.F., Moatimid, G.M., Elsabaa, F.M.F., and Amer, M.F.E., Three-Dimensional Instability of Non-Newtonian Viscoelastic Liquid Jets Issued into a Streaming Viscous (or Inviscid) Gas, Int. J. Fluid Mech. Res., vol. 44, no. 2, pp. 93-113, 2017.
Fu, Q.-F., Jia, B.-Q., and Yang, L.-J., Stability of a Confined Swirling Annular Liquid Layer with Heat and Mass Transfer, Int. J. Heat Mass Transfer, vol. 104, pp. 644-649, 2017.
Fu, Q.-F., Yang, L.-J., Chen, P.-M., Liu, Y.-X., and Wang, C., Spatial-Temporal Stability of an Electrified Viscoelastic Liquid Jet, J. Fluids Eng., vol. 135, no. 9, p. 094501, 2013.
Gaster, M., A Note on the Relation between Temporally-Increasing and Spatially-Increasing Disturbances in Hydrodynamic Stability, J. Fluid Mech., vol. 14, no. 2, pp. 222-224, 1962.
Glasstone, S. and Sesonske, A., Nuclear Reactor Engineering, Princeton, N.J.: Van Nostrand, 1967.
Hsieh, D.Y., Effects of Heat and Mass Transfer on Rayleigh-Taylor Instability, J. Fluids Eng., vol. 94, no. 1, pp. 156-160, 1972.
Hsieh, D.Y., Interfacial Stability with Mass and Heat Transfer, Phys. Fluids, vol. 21, no. 5, pp. 745-748, 1978.
Hsieh, D.Y., Nonlinear Rayleigh-Taylor Stability with Mass and Heat Transfer, Phys. Fluids, vol. 22, pp. 1435-1439, 1979.
Huebner, A.L. and Chu, H.N., Instability and Breakup of Charged Liquid Jets, J. Fluid Mech., vol. 49, no. 2, pp. 361-372, 1972.
Ibrahim, E.A., Asymmetric Instability of a Viscous Liquid Jet, J. Colloid Interf. Sci., vol. 189, no. 1, pp. 181-183, 1997.
Ibrahim, E. and Marshall, S.O., Instability of a Liquid Jet of Parabolic Velocity Profile, Chem. Eng. J., vol. 76, no. 1, pp. 17-21, 2000.
Irvine, T.F., and Hartnett, J.P., Advances in Heat Transfer, vol. 1, New York, NY: Academic Press, 1964.
Kim, H.J., Kwon, S.J., Padrino, J.C., and Funada, T., Viscous Potential Flow Analysis of Capillary Instability with Mass and Heat Transfer, J. Phys. A: Math. Theor., vol. 41, p. 335205, 2008.
Lefebvre, A.H., Atomization and Sprays, New York, NY: Hemisphere Publishing Corporation, 1989.
Li, F., Ganan-Calvo, A.M., and Lopez-Herrera, J.M., Absolute and Convective Instability of a Charged Viscoelastic Liquid Jet, J. Non-Newtonian Fluid Mech., vol. 196, pp. 58-69, 2013.
Li, F., Yin, X.-Y., and Yin, X.-Z., Axisymmetric and Non-Axisymmetric Instability of an Electrified Viscous Coaxial Jet, J. Fluid Mech., vol. 632, pp. 199-225, 2009.
Li, X., Mechanism of Atomization of a Liquid Jet, Atomization Sprays, vol. 5, pp. 89-105, 1995.
Lin, S.P., Breakup of Liquid Sheets and Jets, Cambridge, UK: Cambridge University Press, 2003.
Lin, S.P. and Lian, Z.W., Mechanisms of the Breakup of Liquid Jets, AIAA J., vol. 28, no. 1, pp. 120-126, 1990.
Lu, M., Ning, Z., and Yan, K., Study on the Breakup of Liquid Jet in Coaxial Swirling Compressible Gas Flow, Nonlin. Dyn., vol. 97, no. 2, pp. 1263-1273, 2019.
Melcher, J.R., Field Coupled Surface Waves, Cambridge, MA: MIT Press, 1963.
Moatimid, G.M., The Effect of a Time Harmonic-Magnetic Field on the Stability of Cylindrical Ferrofluids in the Presence of Heat and Mass Transfer, Can. J. Phys., vol. 73, pp. 595-601, 1995.
Moatimid, G.M., Eldabe, N.T., and Sayed, A., The Effect of a Periodic Tangential Magnetic Field on the Stability of a Horizontal Magnetic Flat Sheet, Heat Transfer-Asian Res., vol. 48, pp. 4074-4104, 2019.
Moatimid, G.M., El-Dib, Y.O., and Zekry, M.H., Stability Analysis Using Multiple Scales Homotopy Approach of Coupled Cylindrical Interfaces under the Influence of Periodic Electrostatic Fields, Chin. J. Phys., vol. 56, pp. 2507-2522, 2018.
Moatimid, G.M., Hassan, M.A., and Mohamed, M.A.A., Temporal Instability of a Confined Nano-Liquid Film with the Marangoni Convection Effect: Viscous Potential Theory, Microsys. Technol., vol. 26, pp. 2123-2136, 2020.
Nayak, A.R. and Chakraborty, B.B., Kelvin-Helmholtz Stability withMass and Heat Transfer, Phys. Fluids, vol. 27, no. 8, pp. 1937-1941, 1984.
Ozen, O. and Narayanan, R., The Physics of Evaporative and Convective Instabilities in Bilayer Systems: Linear Theory, Phys. Fluids, vol. 16, pp. 4644-4652, 2004a.
Ozen, O. and Narayanan, R., The Physics of Evaporative and Convective Instabilities in Bilayer Systems: Weak Non-Linear Theory, Phys. Fluids, vol. 16, pp. 4653-4660, 2004b.
Taylor, G., Formation of Thin Flat Sheets of Water, Proc. R. Soc. A, vol. 259, pp. 1-17, 1960.
Yang, H.Q., Asymmetric Instability of a Liquid Jet, Phys. Fluids, vol. 4, pp. 661-669, 1992.
Yang, L.-J., Tong, M.-X., and Fu, Q.-F., Linear Stability Analysis of a Three Dimensional Viscoelastic Liquid Jet Surrounded by Swirling Air Stream, J. Non-Newtonian Fluid Mech., vol. 191, pp. 1-13, 2013.
Yang, L.-J., Xu, B.-R., and Fu, Q.-F., Linear Instability Analysis of Planar Non-Newtonian Liquid Sheets in Two Gas Streams of Unequal Velocities, J. Non-Newtonian Fluid Mech., vols. 167-168, pp. 50-58, 2012.
Zakhvataev, V.E., Nonlinear Electrohydrodynamic Stability of a Poiseuille Two-Layer Flow, J. Appl.Mech. Tech. Phys., vol. 41, no. 6, pp. 977-981, 2000.
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