Influence of small imperfections on the stability of plane Poiseuille flow and the limitation of Squire’s theorem

2006 ◽  
Vol 18 (4) ◽  
pp. 044104 ◽  
Author(s):  
Xuesong Wu ◽  
Jisheng Luo
Keyword(s):  
Poiseuille Flow ◽  
Plane Poiseuille Flow ◽  
The Stability

On the stability of plane poiseuille flow of viscoelastic fluids

1976 ◽  
Vol 24 (1-2) ◽  
pp. 1-12
Author(s):  
M. J. Crochet ◽  
G. Tackels
Keyword(s):  
Poiseuille Flow ◽  
Viscoelastic Fluids ◽  
Plane Poiseuille Flow ◽  
The Stability

On the stability of Poiseuille flow of a Bingham fluid

1994 ◽  
Vol 263 ◽  
pp. 133-150 ◽  
Author(s):  
I. A. Frigaard ◽  
S. D. Howison ◽  
I. J. Sobey
Keyword(s):  
Yield Stress ◽  
Poiseuille Flow ◽  
Linear Instability ◽  
Bingham Fluid ◽  
Additional Parameter ◽  
Two Dimensional ◽  
Plane Poiseuille Flow ◽  
Bingham Number ◽  
The Stability ◽  
Drilling Muds

The stability to linearized two-dimensional disturbances of plane Poiseuille flow of a Bingham fluid is considered. Bingham fluids exhibit a yield stress in addition to a plastic viscosity and this description is typically applied to drilling muds. A non-zero yield stress results in an additional parameter, a Bingham number, and it is found that the minimum Reynolds number for linear instability increases almost linearly with increasing Bingham number.

The Stability of Plane Poiseuille Flow

1952 ◽  
Vol 86 (5) ◽  
pp. 812-813 ◽  
Author(s):  
L. H. Thomas
Keyword(s):  
Poiseuille Flow ◽  
Plane Poiseuille Flow ◽  
The Stability

The Stability of Plane Poiseuille Flow

1953 ◽  
Vol 91 (4) ◽  
pp. 780-783 ◽  
Author(s):  
L. H. Thomas
Keyword(s):  
Poiseuille Flow ◽  
Plane Poiseuille Flow ◽  
The Stability
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