Technical Brief

Spatial-Temporal Stability of an Electrified Viscoelastic Liquid Jet

[+] Author and Article Information
Li-jun Yang

e-mail: yanglijun@buaa.edu.cn

Chen Wang

School of Astronautics,
Beijing University of Aeronautics and Astronautics,
Beijing 100191, China

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the Journal of Fluids Engineering. Manuscript received December 31, 2012; final manuscript received April 12, 2013; published online June 6, 2013. Assoc. Editor: Shizhi Qian.

J. Fluids Eng 135(9), 094501 (Jun 06, 2013) (7 pages) Paper No: FE-12-1661; doi: 10.1115/1.4024265 History: Received December 31, 2012; Revised April 12, 2013

This paper presents theoretically the spatial-temporal instability behavior of an electrified viscoelastic liquid jet. Dimensionless parameters have been tested for their influence on the transition of absolute and convective instability for the electrified viscoelastic liquid jet. The results show that larger electrical Euler and Weber numbers can change the flow to convectively unstable. The increase of Reynolds number can decrease the absolute growth rate. Variations of time constant and density ratio rarely change the spatial-temporal instability behavior of the jet. The disturbance wavelength changes very little with these parameters when the flow is absolutely unstable.

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Grahic Jump Location
Fig. 2

Contours of ωr = constant in the complex k-plane when Eu varies (Re = 3000, b = 100, Q = 0.001, We = 3, λ2/λ1 = 0.1) (a) Eu = 0.01, (b) Eu = 0.1, (c) Eu = 0.3, and (d) Eu = 0.5

Grahic Jump Location
Fig. 1

Schematic of an electrified viscoelastic liquid jet

Grahic Jump Location
Fig. 5

Contours of ωr = constant in the complex k-plane when Re varies (We = 3, b = 100, Q = 0.001, Eu = 0.1, λ2/λ1 = 0.1) (a) Re = 100, (b) Re = 500, (c) Re = 3000, and (d) Re = 5000

Grahic Jump Location
Fig. 3

Contours of ωr = constant in the complex k-plane when λ2/λ1 varies (Re = 3000, b = 100, Q = 0.001, We = 3, Eu = 0.1) (a) λ2/λ1 = 0.1, (b) λ2/λ1 = 0.5, (c) λ2/λ1 = 1, and (d) λ2/λ1 = 1.5

Grahic Jump Location
Fig. 4

Contours of ωr = constant in the complex k-plane when We varies (Re = 3000, b = 100, Q = 0.001, Eu = 0.1, λ2/λ1 = 0.1) (a) We = 0.5, (b) We = 1, (c) We = 4, and (d) We = 5

Grahic Jump Location
Fig. 6

Contours of ωr = constant in the complex k-plane when Q varies (Re = 3000, b = 100, Eu = 0.1, We = 3, λ2/λ1 = 0.1) (a) Q = 0.001, (b) Q = 0.005, (c) Q = 0.01, and (d) Q = 0.1



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