Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 63
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Hasan, Alfaisal A. 2016. Electrogravitational stability of streaming compound jets. International Journal of Biomathematics, Vol. 09, Issue. 02, p. 1650032.

    López-Herrera, J.M. Gañán-Calvo, A.M. Popinet, S. and Herrada, M.A. 2015. Electrokinetic effects in the breakup of electrified jets: A Volume-Of-Fluid numerical study. International Journal of Multiphase Flow, Vol. 71, p. 14.

    Luo, CJ Okubo, Tomoyuki Nangrejo, Muhammad and Edirisinghe, Mohan 2015. Preparation of polymeric nanoparticles by novel electrospray nanoprecipitation. Polymer International, Vol. 64, Issue. 2, p. 183.

    Rafiei, Saeedeh and Haghi, A 2015. Nanomaterials and Nanotechnology for Composites.

    Xie, Jingwei Jiang, Jiang Davoodi, Pooya Srinivasan, M.P. and Wang, Chi-Hwa 2015. Electrohydrodynamic atomization: A two-decade effort to produce and process micro-/nanoparticulate materials. Chemical Engineering Science, Vol. 125, p. 32.

    Luo, C. J. and Edirisinghe, M. 2014. Core-Liquid-Induced Transition from Coaxial Electrospray to Electrospinning of Low-Viscosity Poly(lactide-co-glycolide) Sheath Solution. Macromolecules, Vol. 47, Issue. 22, p. 7930.

    Zakaria, Kadry Sirwah, Magdy A. and Adham, M. 2014. Electro-viscous instability of a swirling compound jet. Journal of Engineering Mathematics, Vol. 89, Issue. 1, p. 27.

    Behjatian, Ali and Esmaeeli, Asghar 2013. Flow patterns and deformation modes of coaxial liquid columns in transverse electric fields. The European Physical Journal E, Vol. 36, Issue. 10,

    Obied Allah, M. H. 2013. Viscous potential flow analysis of electrified miscible finitely conducting fluid through porous media. Physics of Plasmas, Vol. 20, Issue. 4, p. 042104.

    Hasan, Alfaisal A. 2012. Capillary Electrodynamic Stability of Self-Gravitational Fluid Cylinder With Varying Electric Field. Journal of Applied Mechanics, Vol. 79, Issue. 2, p. 021006.

    Hasan, Alfaisal A. 2011. Electrogravitational stability of oscillating streaming fluid cylinder. Physica B: Condensed Matter, Vol. 406, Issue. 2, p. 234.

    KANGAWA, Hiroshi YULIATI, Lilis SEO, Takehiko and MIKAMI, Masato 2011. Effect of Mixture Fraction of Ethanol/Heptane Mixture on Spray Characteristics of Electrostatic Atomization. TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B, Vol. 77, Issue. 773, p. 129.

    Li, Fang Gañán-Calvo, Alfonso M. and López-Herrera, José M. 2011. Absolute-convective instability transition of low permittivity, low conductivity charged viscous liquid jets under axial electric fields. Physics of Fluids, Vol. 23, Issue. 9, p. 094108.

    Lim, Liang Kuang Hua, Jinsong Wang, Chi-Hwa and Smith, Kenneth A. 2011. Numerical simulation of cone-jet formation in electrohydrodynamic atomization. AIChE Journal, Vol. 57, Issue. 1, p. 57.

    Shiryaeva, S. O. 2011. Influence of charge relaxation on the capillary disintegration of a jet of a viscous dielectric liquid placed in an electrostatic field collinear with the axis of the jet. Technical Physics, Vol. 56, Issue. 3, p. 335.

    Elcoot, Abd Elmonem Khalil 2010. Nonlinear stability of an axial electric field: Effect of interfacial charge relaxation. Applied Mathematical Modelling, Vol. 34, Issue. 8, p. 1965.

    López-Herrera, José M. Gañán-Calvo, Alfonso M. and Herrada, Miguel A. 2010. Absolute to convective instability transition in charged liquid jets. Physics of Fluids, Vol. 22, Issue. 6, p. 062002.

    Moatimid, Galal M. and Obied Allah, Mahmoud H. 2010. Electrohydrodynamic linear stability of finitely conducting flows through porous fluids with mass and heat transfer. Applied Mathematical Modelling, Vol. 34, Issue. 10, p. 3118.

    Craster, R. V. and Matar, O. K. 2009. Dynamics and stability of thin liquid films. Reviews of Modern Physics, Vol. 81, Issue. 3, p. 1131.

    Elcoot, Abd Elmonem Khalil 2009. Weakly nonlinear EHD stability of slightly viscous jet. European Journal of Mechanics - B/Fluids, Vol. 28, Issue. 1, p. 127.

  • Journal of Fluid Mechanics, Volume 274
  • September 1994, pp. 93-113

Electrohydrodynamic stability of a slightly viscous jet

  • A. J. Mestel (a1)
  • DOI:
  • Published online: 01 April 2006

Many electro-spraying devices raise to a high electric potential a pendant drop of weakly conducting fluid, which may adopt a conical shape from whose apex a thin, charged jet is emitted. Such a jet eventually breaks up into fine droplets, but often displays surprising longevity. This paper examines the stability of an incompressible cylindrical jet carrying surface charge in a tangential electric field, allowing for the finite rate of charge relaxation. The viscosity is assumed to be small so that the shear resulting from the tangential surface stress can be large, even for relatively small fields. This shear can suppress surface tension instabilities, but if too large, it excites electrical ones. For imperfect conductors, surface charge is redistributed by the rapid fluid reaction to variations in tangential stress as well as by conduction. Phase differences between the effects due to the tangential field and the surface charge lead to charge ‘over-relaxation’ instabilities, but the maximum growth rate can still be lower than in the absence of electric effects.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *