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Numerical simulation of electrohydrodynamic spray with stable Taylor cone–jet

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Abstract

A numerical model has been developed to estimate the shape of the liquid cone and the resulting jet in presence of external electric field. The model estimates the liquid velocity at the cone surface to calculate the electrical current. The equations of electric potential are solved numerically with an iterative procedure and then continuity and momentum equations solved in a commercial CFD code with electrical body forces. The model is validated by comparing with experimental results.

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References

  1. Zeleny J (1915) On the conditions of instability of electrified drops, with applications to the electrical discharge from liquid ions. In: Proceedings of the Cambridge Philosophical Society, vol 18, pp 71–83

  2. Bailey AG (1988) Electrostatic spraying of liquids. Wiley, New York

    Google Scholar 

  3. Rayleigh L (1879) On the conditions of instability of electrified drops. Philos Mag Ser 14:184–186

    Article  Google Scholar 

  4. Cloupeau M, Prunet-Foch B (1989) Electrostatic spraying of liquids in cone–jet mode. J Electrost 22(2):135–159. doi:10.1016/0304-3886(89)90081-8

    Article  Google Scholar 

  5. Vonnegut B, Neubauer R (1952) Production of monodisperse liquid particles by electrical atomization. J Colloid Sci 7(6):616–662. doi:10.1016/0095-8522(52)90043-3

    Article  Google Scholar 

  6. Taylor GI (1964) Disintegration of water drops in an electric field. In: Proceedings of the Royal Society, (A280). London, UK, pp 383–397

  7. Melcher JR, Taylor GI (1969) Electrohydrodynamics: a review of the role of interfacial shear stresses. Annu Rev Fluid Mech 1:111–146

    Article  Google Scholar 

  8. Gañán-Calvo AM, Dávila J, Barrero A (1997) Current and droplet size in the electrospraying of liquids. J Aerosol Sci 28(2):249–275. doi:10.1016/s0021-8502(96)00433-8

    Article  Google Scholar 

  9. Joffre G, Prunet-Foch B, Berthomme S, Cloupeau M (1982) Deformation of liquid meniscus under the action of electric field. J Electrost 13(2):151–165. doi:10.1016/0304-3886(82)90005-5

    Article  Google Scholar 

  10. Hartman RPA, Brunner DJ, Camelot DMA, Marijnissen JCM, Scarlett B (2000) Jet break-up in electrohydrodynamic atomization in the cone–jet mode. J Aerosol Sci 31(1):65–95. doi:10.1016/S0021-8502(99)00034-8

    Article  Google Scholar 

  11. Jaworek A, Krupa A (1999) Classification of the modes of EHD spraying. J Aerosol Sci 30(7):873–893. doi:10.1016/s0021-8502(98)00787-3

    Article  Google Scholar 

  12. Wilhelm O (2004) Electrohydrodynamic spraying—transport, mass and heat transfer of charged droplets and their application to deposition of thin functional films. University of Tubingen, Zurich

    Google Scholar 

  13. Lastow O, Balachandran W (2006) Numerical simulation of electrohydrodynamic (EHD) atomization. J Electrost 64(12):850–859

    Article  Google Scholar 

  14. Hayati I, Bailey A, Tadros TF (1986) Investigation into the mechanism of electrohydrodynamic spraying of liquids. J Colloid Interface Sci 117(1):222–230. doi:10.1016/0021-9797(87)90185-8

    Article  Google Scholar 

  15. Ashgriz N (2011) Handbook of atomization and sprays: theory and application. Springer, New York

    Book  Google Scholar 

Download references

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Authors and Affiliations

  1. Combustion and Propulsion Laboratory, Faculty of Aerospace Engineering, K.N. Toosi University of Technology, Tehran, Iran

    Morteza Rahmanpour & Reza Ebrahimi

Authors
  1. Morteza Rahmanpour
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  2. Reza Ebrahimi
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Correspondence to Morteza Rahmanpour.

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Rahmanpour, M., Ebrahimi, R. Numerical simulation of electrohydrodynamic spray with stable Taylor cone–jet. Heat Mass Transfer 52, 1595–1603 (2016). https://doi.org/10.1007/s00231-015-1680-6

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  • DOI: https://doi.org/10.1007/s00231-015-1680-6

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