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Atomization and Sprays
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ISSN Imprimer: 1044-5110
ISSN En ligne: 1936-2684

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Atomization and Sprays

DOI: 10.1615/AtomizSpr.2015013237
pages 349-376

ELECTROHYDRODYNAMIC INSTABILITY OF A NON-NEWTONIAN DIELECTRIC LIQUID JET MOVING IN A STREAMING DIELECTRIC GAS WITH A SURFACE TENSION GRADIENT

Mohamed F. El-Sayed
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis (Roxy), Cairo, Egypt; Department of Mathematics, College of Science, Qassim University, P. O. Box 6644, Buraidah 51452, Saudi Arabia
G. M. Moatimid
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy, Cairo, Egypt
F. M. F. Elsabaa
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy 11757, Cairo, Egypt
M. F. E. Amer
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy 11757, Cairo, Egypt

RÉSUMÉ

In this paper the mechanisms of a temporal electrohydrodynamic axisymmetric instability of non-Newtonian dielectric liquid jets moving through a dielectric gas with surface tension gradient have been investigated. The dispersion relation between the nondimensional growth rate and the nondimensional wave number for the eight-constant Oldroyd model is derived using appropriate boundary conditions. The effects of different parameters such as Ohnesorge number, Weber number, elasticity number, deformation retardation to stress relaxation ratio, gas to liquid density ratio, gas to liquid velocity ratio, electric field, and the dielectric constants of the two media on the stability behavior of the system are discussed in detail. Comparisons between the cases of absence or presence of electric field, non-Newtonian fluids, surface tension gradient, and gas to liquid velocity are achieved. The present work is a good foundation for the invistigations of the instability and breakup of non-Newtonian liquid jets with electric field effect and surface tension gradient existence.