DUAL-MODE LINEAR ANALYSIS OF TEMPORAL INSTABILITY FOR POWER-LAW LIQUID SHEET

2016 ◽  
Vol 26 (4) ◽  
pp. 319-347 ◽  
Author(s):  
Han-Yu Deng ◽  
Feng Feng ◽  
Xiao-Song Wu
Keyword(s):  
Power Law ◽  
Linear Analysis ◽  
Liquid Sheet ◽  
Dual Mode ◽  
Temporal Instability

Temporal Instability of a Power-Law Planar Liquid Sheet

2015 ◽  
Vol 31 (1) ◽  
pp. 286-293 ◽  
Author(s):  
Li-jun Yang ◽  
Ming-long Du ◽  
Qing-fei Fu ◽  
Ming-xi Tong ◽  
Chen Wang
Keyword(s):  
Power Law ◽  
Liquid Sheet ◽  
Temporal Instability

Effect of Velocity Profile on the Stability of Liquid Sheet

2014 ◽  
Vol 694 ◽  
pp. 288-291
Author(s):  
Run Ze Duan ◽  
Zhi Ying Chen ◽  
Li Jun Yang
Keyword(s):  
Growth Rate ◽  
Velocity Profile ◽  
Linear Analysis ◽  
Liquid Sheet ◽  
Wave Number ◽  
Flat Plates ◽  
Chebyshev Spectral Collocation ◽  
The Stability ◽  
The Relationship ◽  
Temporal Growth Rate

An electrified liquid sheet injected into a dielectric moving through a viscous gas bounded by two horizontal parallel flat plates of a transverse electric field is investigated with the linear analysis method. The liquid sheet velocity profile and the gas boundary layer thickness are taken into account. The relationship between temporal growth rate and the wave number was obtained using linear stability analysis and solved using the Chebyshev spectral collocation method. The effects of the velocity profile on the stability of the electrified liquid sheet were revealed for both sinuous mode and varicose mode. The results show that the growth rate of the electrified Newtonian liquid is greater than that of corresponding Newtonian one under the same condition, and the growth rate of the sinuous mode is greater than that of the varicose mode. Keywords: instability; planar liquid sheet; velocity profile;spectral method;linear analysis

Breakup of a power-law liquid sheet formed by an impinging jet injector

2012 ◽  
Vol 39 ◽  
pp. 37-44 ◽  
Author(s):  
Li-jun Yang ◽  
Qing-fei Fu ◽  
Yuan-yuan Qu ◽  
Bin Gu ◽  
Meng-zheng Zhang
Keyword(s):  
Power Law ◽  
Impinging Jet ◽  
Liquid Sheet

TWO-DIMENSIONAL TEMPORAL INSTABILITY OF A VISCOELASTIC LIQUID SHEET OF A PARABOLIC VELOCITY PROFILE

2017 ◽  
Vol 27 (5) ◽  
pp. 423-438
Author(s):  
Run-ze Duan ◽  
Zi-yue Wang ◽  
Zhi-ying Chen ◽  
Lian-sheng Liu
Keyword(s):  
Velocity Profile ◽  
Liquid Sheet ◽  
Viscoelastic Liquid ◽  
Two Dimensional ◽  
Temporal Instability ◽  
Parabolic Velocity Profile

Temporal Instability for a Charged Power-Law Liquid Jet in a Coaxial Swirling Air

AIAA Journal ◽  
2018 ◽  
Vol 56 (9) ◽  
pp. 3515-3523 ◽  
Author(s):  
Xin-Tao Wang ◽  
Zhi Ning ◽  
Ming Lü
Keyword(s):  
Power Law ◽  
Liquid Jet ◽  
Temporal Instability

Linear Temporal Instability of a Two-Layer Axisymmetric Cylindrical Liquid Sheet

2008 ◽  
Vol 77 (4) ◽  
pp. 044401 ◽  
Author(s):  
Masayuki Sano ◽  
Mitsuaki Funakoshi
Keyword(s):  
Liquid Sheet ◽  
Temporal Instability

On the temporal instability of a two-dimensional viscous liquid sheet

1991 ◽  
Vol 226 ◽  
pp. 425-443 ◽  
Author(s):  
Xianguo Li ◽  
R. S. Tankin
Keyword(s):  
Growth Rate ◽  
Viscous Liquid ◽  
Local Maximum ◽  
Liquid Sheet ◽  
Rate Curve ◽  
Liquid Viscosity ◽  
Number Range ◽  
Liquid Sheets ◽  
Temporal Instability ◽  
Aerodynamic Instability

This paper reports a temporal instability analysis of a moving thin viscous liquid sheet in an inviscid gas medium. The results show that surface tension always opposes, while surrounding gas and relative velocity between the sheet and gas favour, the onset and development of instability. It is found that there exist two modes of instability for viscous liquid sheets – aerodynamic and viscosity-enhanced instability – in contrast to inviscid liquid sheets for which the only mode of instability is aerodynamic. It is also found that axisymmetrical disturbances control the instability process for small Weber numbers, while antisymmetrical disturbances dominate for large Weber numbers. For antisymmetrical disturbances, liquid viscosity, through the Ohnesorge number, enhances instability at small Weber numbers, while liquid viscosity reduces the growth rate and the dominant wavenumber at large Weber numbers. At the intermediate Weber-number range, Liquid viscosity has complicated effects due to the interaction of viscosity-enhanced and aerodynamic instabilities. In this range, the growth rate curve exhibits two local maxima, one corresponding to aerodynamic instability, for which liquid viscosity has a negligible effect, and the other due to viscosity-enhanced instability, which is influenced by the presence and variation of liquid viscosity. For axisymmetrical disturbances, liquid viscosity always reduces the growth rate and the dominant wavenumber, aerodynamic instability always prevails, and although the regime of viscosity-enhanced instability is always present, its growth rate curve does not possess a local maximum.

Study on some Aspects of Breakup Characteristics of Power-Law Fluid with Impinging Jets Based on Mechanics Properties

2012 ◽  
Vol 625 ◽  
pp. 57-60
Author(s):  
En Dong Wang ◽  
Yan Yin ◽  
Qing Du
Keyword(s):  
Power Law ◽  
High Speed ◽  
Wave Length ◽  
Impinging Jets ◽  
Liquid Sheet ◽  
Liquid Jets ◽  
Power Law Fluid ◽  
Round Jets ◽  
Breakup Length ◽  
Jet Velocity

Shear-thinning power-law fluid is a kind of non-Newtonian fluid in which the viscosity is a function of shear rate. Impinging jets system is used to study the breakup characteristics of power-law liquid sheets formed by two symmetrical round jets in this study. High quality images are obtained from the experiment with a high speed camera and breakup length is extracted from the images. Closed-rim sheet, web-like sheet and ligaments sheet are observed with the increase of jet velocity. A series of images show that the wave length on the surface of sheets tends to decline as the jet velocity increases. At a low We number, the breakup length increases with an increasing We number. However, it first increases and then decreases when the liquid sheet breaks up at a high We number. The liquid jets with larger diameter collide to each other and lead to a liquid sheet with a smaller breakup length.

Linear analysis of the temporal instability of axisymmetrical non-Newtonian liquid jets

2000 ◽  
Vol 26 (10) ◽  
pp. 1621-1644 ◽  
Author(s):  
Günter Brenn ◽  
Zhengbai Liu ◽  
Franz Durst
Keyword(s):  
Linear Analysis ◽  
Newtonian Liquid ◽  
Liquid Jets ◽  
Temporal Instability
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