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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Baudry, K., Romat, H., and Artana, G., 1997, “Theoretical Influence of the Pressure of the Surrounding Atmosphere on the Stability of High Velocity Jets,” J. Electrost., 40, pp. 73–78. [CrossRef]
Artana, G., Romat, H., and Touchard, G., 1998, “Theoretical Analysis of Linear Stability of Electrified Jets Flowing at High Velocity Inside a Coaxial Electrode,” J. Electrost., 43(2), pp. 83–100. [CrossRef]
Turnbull, R. J., 1992, “On the Instability of an Electrostatically Sprayed Liquid Jet,” IEEE Trans. Ind. Appl., 28(6), pp. 1432–1438. [CrossRef]
Turnbull, R. J., 1996, “Finite Conductivity Effects on Electrostatically Sprayed Liquid Jets,” IEEE Trans. Ind. Appl., 32(4), pp. 837–843. [CrossRef]
Li, F., Liu, Z., Yin, X., and Yin, X., 2007, “Theoretical and Experimental Investigation on Instability of a Conducting Liquid Jet Under a Radial Electric Field,” Chin. Quart. Mech., 28(4), pp. 517–520. [CrossRef]
Mestel, A. J., 1996, “Electrohydrodynamic Stability of a Highly Viscous Jet,” J. Fluid Mech., 312, pp. 311–326. [CrossRef]
Kishore, V. A., and Bandyopadhyay, D., 2012, “Electric Field Induced Patterning of Thin Coatings on Fiber Surfaces,” J. Phys. Chem. C, 116, pp. 6215–6221. [CrossRef]
Li, B., Li, Y., Xu, G. K., and Feng, X. Q., 2009, “Surface Patterning of Soft Polymer Film-Coated Cylinders Via an Electric Field,” J. Phys. Cond. Matter, 21, p. 445006. [CrossRef]
Middleman, S., 1965, “Stability of a Viscoelastic Jet,” Chem. Eng. Sci., 20(12), pp. 1037–1040. [CrossRef]
Goldin, M., Yerushalmi, J., Pfeffer, R., and Shinnar, R., 1969, “Breakup of a Laminar Capillary Jet of a Viscoelastic Fluid,” J. Fluid Mech., 38, pp. 689–711. [CrossRef]
Brenn, G., Liu, Z., and Durst, Franz., 2000, “Linear Analysis of the Temporal Instability of Axisymmetrical Non-Newtonian Liquid Jets,” Int. J. Multiph. Flow, 26(10), pp. 1621–1644. [CrossRef]
Liu, Z., and Liu, Z., 2006, “Linear Analysis of Three-Dimensional Instability of Non-Newtonian Liquid Jets,” J. Fluid Mech., 559, pp. 451–459. [CrossRef]
Yang, L., Qu, Y., Fu, Q., Gu, B., and Wang, F., 2010, “Linear Stability Analysis of a Non-Newtonian Liquid Sheet,” J. Propul. Power, 26(6), pp. 1212–1224. [CrossRef]
Yang, L., Tong, M., and Fu, Q., 2013, “Linear Stability Analysis of a Three-Dimensional Viscoelastic Liquid Jet Surrounded by a Swirling Air Stream,” J. Non-Newton. Fluid Mech., 191, pp. 1–13. [CrossRef]
Li, F., Yin, X., and Yin, X., 2011, “Axisymmetric and Non-Axisymmetric Instability of an Electrically Charged Viscoelastic Liquid Jet,” J. Non-Newton. Fluid Mech., 166(17), pp. 1024–1032. [CrossRef]
Yang, L., Liu, Y., and Fu, Q., 2012, “Linear Stability Analysis of an Electrified Viscoelastic Liquid Jet,” ASME J. Fluids Eng., 134(7), p. 071303. [CrossRef]
Ruo, A., Chen, K., Chang, M., and Chen, F., 2012, “Instability of a Charged Non-Newtonian Liquid Jet,” Phys. Rev. E, 85, p. 016306. [CrossRef]
Li, X., 1993, “Spatial Instability of Plane Liquid Sheets,” Chem. Eng. Sci., 48(16), pp. 2973–2981. [CrossRef]
Yang, L., and Fu, Q., 2012, “Stability of Confined Gas–Liquid Shear Flows in Recessed Shear Coaxial Injectors,” J. Propul. Power, 28(6), pp. 1413–1424. [CrossRef]
Chauhan, A., Maldarelli, C., Papageorgiou, D. T., and Rumschitzki, D. S., 2006, “The Absolute Instability of an Inviscid Compound Jet,” J. Fluid Mech., 549, pp. 81–98. [CrossRef]
Lin, S. P., and Lian, Z. W., 1989, ‘‘Absolute Instability of a Liquid Jet in a Gas,” Phys. Fluids A, 1, pp. 490–493. [CrossRef]


Grahic Jump Location
Fig. 1

Schematic of an electrified viscoelastic liquid jet

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. 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. 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. 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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