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Technical Brief

Effect of Gas/Liquid Shearing on the Viscoelastic Instability of a Planar Sheet

[+] Author and Article Information
Ming-Xi Tong

School of Astronautics,
Beihang University,
Beijing 100191, China
e-mail: mxtong@foxmail.com

Li-Jun Yang

Professor
School of Astronautics,
Beihang University,
Beijing 100191, China
e-mail: yanglijun@buaa.edu.cn

Qing-Fei Fu

School of Astronautics,
Beihang University,
Beijing 100191, China
e-mail: fuqingfei@buaa.edu.cn

Chao-Jie Mo

School of Astronautics,
Beihang University,
Beijing 100191, China
e-mail: mochaojie@buaa.edu.cn

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received January 6, 2016; final manuscript received November 18, 2016; published online February 14, 2017. Assoc. Editor: Moran Wang.

J. Fluids Eng 139(4), 044502 (Feb 14, 2017) (5 pages) Paper No: FE-16-1012; doi: 10.1115/1.4035301 History: Received January 06, 2016; Revised November 18, 2016

The Kelvin–Helmholtz instability of viscoelastic flows was examined through a linear instability analysis. Due of the position change of viscoelastic effects, different unstable responses of liquid elastic effects and medium viscous effects were fully investigated. Finally, a comparison of gas/liquid shearing and inviscid aerodynamic effects on sheet instability is conducted.

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References

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Figures

Grahic Jump Location
Fig. 1

Model of a viscous planar fluid layer surrounded by a viscous stream

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Fig. 2

Unstable growth rates of liquid sheets for Boger fluids (solid line) and Newtonian fluids (dashed line)

Grahic Jump Location
Fig. 3

Effects of elasticity number on the instability of viscoelastic liquid sheet

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Fig. 4

Effects of time constant ratio on the instability of viscoelastic liquid sheet

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Fig. 5

Effects of gas viscosity on the instability of viscoelastic liquid sheet

Grahic Jump Location
Fig. 6

Unstable growth rates of gas submerged sheets for Boger surroundings (solid line) and Newtonian surroundings (dashed line)

Grahic Jump Location
Fig. 7

Effects of (a) elasticity number and (b) time constant ratio on the instability of gas submerged sheet

Grahic Jump Location
Fig. 8

Effects of gas viscosity on the instability of gas submerged sheet

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Fig. 9

Comparisons of gas/liquid shear force and inviscid aerodynamic effects for (a) case I and (b) case II

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