Use of one-dimensional Cosserat theory to study instability in a viscous liquid jet

1978 ◽  
Vol 21 (2) ◽  
pp. 190 ◽  
Author(s):  
D. B. Bogy
Keyword(s):  
Viscous Liquid ◽  
Liquid Jet ◽  
Cosserat Theory ◽  
One Dimensional

A One-Dimensional Model of Viscous Liquid Jets Breakup

2011 ◽  
Vol 133 (11) ◽  
Author(s):  
Mahmoud Ahmed ◽  
M. M. Abou-Al-Sood ◽  
Ahmed hamza H. Ali
Keyword(s):  
Growth Rate ◽  
Viscous Liquid ◽  
Liquid Jets ◽  
Liquid Jet ◽  
Dimensional Model ◽  
One Dimensional ◽  
Implicit Finite Difference Scheme ◽  
Wave Numbers ◽  
Breakup Time ◽  
Capillary Liquid

The breakup process of a low speed capillary liquid jet is computationally investigated for different Ohnesorge numbers (Z), wave numbers (K), and disturbance amplitudes (ζo). An implicit finite difference scheme has been developed to solve the governing equations of a viscous liquid jet. The results predict the evolution and breakup of the liquid jet, the growth rate of disturbance, the breakup time and location, and the main and satellite drop sizes. It is found that the predicted growth rate of disturbance, the breakup time, and the main and satellite drop sizes depend mainly on the wave numbers and the Ohnesorge numbers. The results are compared with those available, experimental data and analytical analysis. The comparisons indicate that good agreements can be obtained with the less complex one-dimensional model.

A ONE-DIMENSIONAL TWO-PHASE FLOW MODEL AND EXPERIMENTAL VALIDATION FOR A FLASHING VISCOUS LIQUID IN A SPLASH PLATE NOZZLE

2015 ◽  
Vol 25 (9) ◽  
pp. 795-817 ◽  
Author(s):  
Mika P. Jarvinen ◽  
A. E. P. Kankkunen ◽  
R. Virtanen ◽  
P. H. Miikkulainen ◽  
V. P. Heikkila
Keyword(s):  
Viscous Liquid ◽  
Experimental Validation ◽  
Flow Model ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
One Dimensional

NONLINEAR SIMULATION OF A HIGH-SPEED, VISCOUS LIQUID JET

1998 ◽  
Vol 8 (2) ◽  
pp. 155-178 ◽  
Author(s):  
J. H. Hilbing ◽  
Stephen D. Heister
Keyword(s):  
Viscous Liquid ◽  
High Speed ◽  
Liquid Jet ◽  
Nonlinear Simulation

scholarly journals Stability of a Viscous Liquid Jet in a Coaxial Twisting Compressible Airflow

Processes ◽  
2021 ◽  
Vol 9 (6) ◽  
pp. 918
Author(s):  
Li-Mei Guo ◽  
Ming Lü ◽  
Zhi Ning
Keyword(s):  
Viscous Liquid ◽  
Axial Velocity ◽  
Liquid Velocity ◽  
Velocity Ratio ◽  
Dominant Mode ◽  
Liquid Jet ◽  
Axisymmetric Mode ◽  
Jet Instability ◽  
Jet Stability ◽  
Jet Breakup

Based on the linear stability analysis, a mathematical model for the stability of a viscous liquid jet in a coaxial twisting compressible airflow has been developed. It takes into account the twist and compressibility of the surrounding airflow, the viscosity of the liquid jet, and the cavitation bubbles within the liquid jet. Then, the effects of aerodynamics caused by the gas–liquid velocity difference on the jet stability are analyzed. The results show that under the airflow ejecting effect, the jet instability decreases first and then increases with the increase of the airflow axial velocity. When the gas–liquid velocity ratio A = 1, the jet is the most stable. When the gas–liquid velocity ratio A > 2, this is meaningful for the jet breakup compared with A = 0 (no air axial velocity). When the surrounding airflow swirls, the airflow rotation strength E will change the jet dominant mode. E has a stabilizing effect on the liquid jet under the axisymmetric mode, while E is conducive to jet instability under the asymmetry mode. The maximum disturbance growth rate of the liquid jet also decreases first and then increases with the increase of E. The liquid jet is the most stable when E = 0.65, and the jet starts to become more easier to breakup when E = 0.8425 compared with E = 0 (no swirling air). When the surrounding airflow twists (air moves in both axial and circumferential directions), given the axial velocity to change the circumferential velocity of the surrounding airflow, it is not conducive to the jet breakup, regardless of the axisymmetric disturbance or asymmetry disturbance.

Linear Instability Analysis of an Annular Swirling Viscous Liquid Jet

2011 ◽  
Vol 66-68 ◽  
pp. 1556-1561 ◽  
Author(s):  
Kai Yan ◽  
Ming Lv ◽  
Zhi Ning ◽  
Yun Chao Song
Keyword(s):  
Viscous Liquid ◽  
Liquid Velocity ◽  
Aerodynamic Force ◽  
Numerical Procedure ◽  
Liquid Sheet ◽  
Linear Instability ◽  
Viscous Force ◽  
Liquid Jet ◽  
Instability Analysis ◽  
Linear Instability Analysis

A three-dimensional linear instability analysis was carried out for an annular swirling viscous liquid jet with solid vortex swirl velocity profile. An analytical form of dispersion relation was derived and then solved by a direct numerical procedure. A parametric study was performed to explore the instability mechanisms that affect the maximum spatial growth rate. It is observed that the liquid swirl enhances the breakup of liquid sheet. The surface tension stabilizes the jet in the low velocity regime. The aerodynamic force intensifies the developing of disturbance and makes the jet unstable. Liquid viscous force holds back the growing of disturbance and the makes the jet stable, especially in high liquid velocity regime.

Nonaxisymmetric evanescent waves in a viscous liquid jet

1994 ◽  
Vol 6 (7) ◽  
pp. 2545-2547 ◽  
Author(s):  
S. P. Lin ◽  
R. Webb
Keyword(s):  
Viscous Liquid ◽  
Evanescent Waves ◽  
Liquid Jet

scholarly journals Nonlinear instability of a viscous liquid jet

PAMM ◽  
2016 ◽  
Vol 16 (1) ◽  
pp. 591-592
Author(s):  
Marie-Charlotte Renoult ◽  
Günter Brenn ◽  
Innocent Mutabazi
Keyword(s):  
Viscous Liquid ◽  
Liquid Jet ◽  
Nonlinear Instability
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