scholarly journals A CFD-Aided Galerkin Method for Global Linear Instability Analysis

2021 ◽  
Vol 29 (1) ◽  
pp. 128-147
Author(s):  
Shengqi Zhang
Keyword(s):  
Galerkin Method ◽  
Linear Instability ◽  
Instability Analysis ◽  
Linear Instability Analysis ◽  
Global Linear Instability

scholarly journals Order 104 speedup in global linear instability analysis using matrix formation

2013 ◽  
Vol 253 ◽  
pp. 287-304 ◽  
Author(s):  
Pedro Paredes ◽  
Miguel Hermanns ◽  
Soledad Le Clainche ◽  
Vassilis Theofilis
Keyword(s):  
Linear Instability ◽  
Instability Analysis ◽  
Linear Instability Analysis ◽  
Global Linear Instability

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.

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