Research on the instability of viscoelastic annular liquid jets in a radial electric field has been carried out. The analytical dimensionless dispersion relation between unstable growth rate and wave number is derived by linear stability analysis. The Oldroyd B model was used to describe the viscoelastic characteristics of the viscoelastic fluids. Considering that the para-sinuous mode has been found to be always dominant in the jet instability, the effects of various parameters on the instability of viscoelastic annular liquid jets are examined only in the para-sinuous mode. Nondimensionalized plots of the solutions exhibit the stabilizing or destabilizing influences of electric field effects and the physical properties of the liquid jets. Both temporal instability analysis and spatiotemporal instability analysis were conducted. The results show that the radial electric field has a dual impact on viscoelastic annular liquid jets in the temporal mode. Physical mechanisms for the instability are discussed in various possible limits. The effects of Weber number, elasticity number, and electrical Euler number for spatiotemporal instability analysis were checked. As the Weber number increases, the liquid jet is first in absolute instability and then in convective instability. However, the absolute value of the absolute growth rate at first decreases, and then increases with the increase of We, which is in accordance with temporal instability analysis. Comparisons of viscoelastic annular jets with viscoelastic planar liquid jets and cylindrical liquid jets were also carried out.
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August 2014
Research-Article
Instability of Viscoelastic Annular Liquid Jets in a Radial Electric Field
Lu-jia Liu,
Lu-jia Liu
School of Astronautics,
Beijing University of Aeronautics and Astronautics
,Beijing 100191
, China
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Li-peng Lu
Li-peng Lu
1
School of Energy and Power Engineering,
e-mail: lulp@buaa.edu.cn
Beijing University of Aeronautics and Astronautics
,Beijing 100191
, China
e-mail: lulp@buaa.edu.cn
1Corresponding author.
Search for other works by this author on:
Lu-jia Liu
School of Astronautics,
Beijing University of Aeronautics and Astronautics
,Beijing 100191
, China
Li-peng Lu
School of Energy and Power Engineering,
e-mail: lulp@buaa.edu.cn
Beijing University of Aeronautics and Astronautics
,Beijing 100191
, China
e-mail: lulp@buaa.edu.cn
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received August 8, 2013; final manuscript received February 20, 2014; published online May 15, 2014. Assoc. Editor: Shizhi Qian.
J. Fluids Eng. Aug 2014, 136(8): 081202 (13 pages)
Published Online: May 15, 2014
Article history
Received:
August 8, 2013
Revision Received:
February 20, 2014
Citation
Liu, L., and Lu, L. (May 15, 2014). "Instability of Viscoelastic Annular Liquid Jets in a Radial Electric Field." ASME. J. Fluids Eng. August 2014; 136(8): 081202. https://doi.org/10.1115/1.4026925
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