Oscillation of satellite droplets in an Oldroyd-B viscoelastic liquid jet

2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Fang Li ◽  
Xie-Yuan Yin ◽  
Xie-Zhen Yin
Keyword(s):  
Viscoelastic Liquid ◽  
Liquid Jet

Linear stability analysis of a slightly viscoelastic liquid jet

2013 ◽  
Vol 28 (1) ◽  
pp. 249-256 ◽  
Author(s):  
Li-jun Yang ◽  
Yuan-yuan Qu ◽  
Qing-fei Fu ◽  
Bing-rui Xu ◽  
Wei Zhang ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Viscoelastic Liquid ◽  
Liquid Jet

Absolute and convective instability of a charged viscoelastic liquid jet

2013 ◽  
Vol 196 ◽  
pp. 58-69 ◽  
Author(s):  
Fang Li ◽  
Alfonso M. Gañán-Calvo ◽  
José M. López-Herrera ◽  
Xie-Yuan Yin ◽  
Xie-Zhen Yin
Keyword(s):  
Convective Instability ◽  
Viscoelastic Liquid ◽  
Liquid Jet

Convective and absolute instability of falling viscoelastic liquid jets surrounded by a gas

2020 ◽  
Author(s):  
A Alhushaybari ◽  
J Uddin
Keyword(s):  
Dispersion Relation ◽  
Density Ratio ◽  
Viscoelastic Liquid ◽  
Liquid Jets ◽  
Mapping Technique ◽  
Liquid Jet ◽  
Absolute Instability ◽  
Liquid Density ◽  
Complex Frequency ◽  
Instability Analysis

Abstract We examine the convective and absolute instability of a 2D axisymmetric viscoelastic liquid jet falling vertically in a medium of an inviscid gas under the influence of gravity. We use the upper-convected Maxwell model to describe the viscoelastic liquid jet and together with an asymptotic approach, based on the slenderness of the jet, we obtain steady-state solutions. By considering travelling wave modes, and using linear instability analysis, the dispersion relation, relating the frequency to wavenumber of disturbances, is derived. We solve this dispersion relation numerically using the Newton–Raphson method and explore regions of instability in parameter space. In particular, we investigate the influence of gravity, the effect of changing the gas-to-liquid density ratio, the Weber number and the Deborah number on convective and absolute instability. In this paper, we utilize a mapping technique developed by Afzaal (2014, Breakup and instability analysis of compound liquid jets. Doctoral Dissertation, University of Birmingham) to find the cusp point in the complex frequency plane and its corresponding first-order saddle point (the pinch point) in the complex wavenumber plane for absolute instability. The convective/absolute instability boundary is identified for various parameter regimes along the axial length of the jet.

scholarly journals Multi-scale analysis of a viscoelastic liquid jet

2017 ◽  
Vol 245 ◽  
pp. 1-10 ◽  
Author(s):  
Christophe Tirel ◽  
Marie-Charlotte Renoult ◽  
Christophe Dumouchel ◽  
Denis Lisiecki ◽  
Olivier Crumeyrolle ◽  
...  
Keyword(s):  
Viscoelastic Liquid ◽  
Liquid Jet ◽  
Scale Analysis ◽  
Multi Scale ◽  
Multi Scale Analysis

Spatial-Temporal Stability of an Electrified Viscoelastic Liquid Jet

2013 ◽  
Vol 135 (9) ◽  
Author(s):  
Qing-fei Fu ◽  
Li-jun Yang ◽  
Pi-min Chen ◽  
Yu-xin Liu ◽  
Chen Wang
Keyword(s):  
Growth Rate ◽  
Reynolds Number ◽  
Convective Instability ◽  
Density Ratio ◽  
Temporal Stability ◽  
Viscoelastic Liquid ◽  
Liquid Jet ◽  
Absolute Growth Rate ◽  
Temporal Instability ◽  
Absolute Growth

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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