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Atomization and Sprays
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ISSN Druckformat: 1044-5110
ISSN Online: 1936-2684

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Atomization and Sprays

DOI: 10.1615/AtomizSpr.2013006406
pages 951-982

LINEAR STABILITY ANALYSIS OF ELECTRIFIED VISCOELASTIC LIQUID SHEETS

Li-jun Yang
Beijing University of Aeronautics and Astronautics, Beijing, 100191, China
Yu-Xin Liu
School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing, China, 100191
Qing-fei Fu
School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing, 100191, China; School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Manchester M13 9PL, United Kingdom
Chen Wang
School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
Yan Ning
China Academy of Launch Vehicle Technology, Beijing, China, 100076

ABSTRAKT

The linear stability of an electrified viscoelastic liquid sheet injected into a dielectric stationary ambient gas in the presence of a transverse electric field has been analyzed. The sinuous and varicose mode disturbance wave growth rates have been worked out by solving the dispersion relation of the electrified viscoelastic liquid sheet, which was obtained by combining the linear instability model of an electrified Newtonian liquid sheet with the linear viscoelastic model. The maximum growth rate and corresponding dominant wave numbers have been obtained. The electrical Euler number, rheological parameters, and some flow parameters have been tested for their influence on the instability of the electrified viscoelastic liquid sheet. The results show that the electrified Newtonian liquid sheet is more unstable than the Newtonian liquid sheet. Similarly, the electrified viscoelastic liquid sheet is more unstable than the electrified Newtonian one. The ratio of gas-to-liquid density and the electrical Euler number can accelerate the breakup of electrified viscoelastic liquid sheet for both modes, while the time constant ratio, the ratio of distance between horizontal electrodes, and the liquid sheet-to-sheet thickness have the opposite effects. The increase of elasticity number has a minimal effect on the instability. High Reynolds number and Weber number accelerate the breakup of the electrified viscoelastic liquid sheet.


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