On the stability of plane-parallel flow of a viscous fluid over an inclined bottom

1960 ◽  
Vol 24 (2) ◽  
pp. 549-552 ◽  
Author(s):  
Iu.P. Ivanilov
Keyword(s):  
Viscous Fluid ◽  
Parallel Flow ◽  
Plane Parallel ◽  
The Stability

Steady plane-parallel flow of an anomalously viscous fluid between parallel plates

1968 ◽  
Vol 1 (6) ◽  
pp. 82-85 ◽  
Author(s):  
R. V. Torner ◽  
L. F. Gudkova ◽  
I. K. Nikolaev
Keyword(s):  
Viscous Fluid ◽  
Parallel Flow ◽  
Parallel Plates ◽  
Plane Parallel ◽  
Steady Plane

On the Stability of Plane Parallel Flow Between Differentially Heated, Tilted Planes

1974 ◽  
Vol 41 (3) ◽  
pp. 554-556 ◽  
Author(s):  
P. S. Ayyaswamy
Keyword(s):  
Stability Limit ◽  
Parallel Flow ◽  
Energy Stability ◽  
Interesting Application ◽  
Plane Parallel ◽  
The Stability

The linear and energy theories of stability of a plane parallel, antisymmetric flow between differentially heated, tilted planes are examined. The linear and energy results do not coincide indicating that subcritical motion may be possible. Also, it is seen that the energy stability limit corresponds to solutions independent of the coordinate in the direction of the flow. An interesting application of Busse’s theorem in this context is demonstrated.

The stability of parallel flow of a multi-component plasma

1980 ◽  
Vol 24 (2) ◽  
pp. 251-264 ◽  
Author(s):  
R. J. Lucas
Keyword(s):  
Gravitational Field ◽  
Sufficient Conditions ◽  
Parallel Flow ◽  
Liapunov Functional ◽  
Multicomponent Plasma ◽  
Plane Parallel ◽  
External Gravitational Field ◽  
Component Plasma ◽  
The Stability ◽  
System Variables

A Liapunov functional is constructed for the plane parallel flow of a multicomponent plasma in an external gravitational field. Sufficient conditions for stability to electrostatic perturbations are obtained. The L2-norms of certain system variables are shown to be bounded uniformly in time.

On the stability of homogeneous orientation in the plane-parallel cell of a liquid crystal doped with nanoparticles

2014 ◽  
Vol 49 (5) ◽  
pp. 196-201 ◽  
Author(s):  
M. R. Hakobyan ◽  
A. A. Ghandevosyan ◽  
R. S. Hakobyan ◽  
Yu. S. Chilingaryan
Keyword(s):  
Liquid Crystal ◽  
Plane Parallel ◽  
The Stability

Steady plane-parallel flow of a magnetic fluid

1984 ◽  
Vol 19 (6) ◽  
pp. 907-914 ◽  
Author(s):  
D. V. Lyubimov ◽  
T. P. Lyubimova
Keyword(s):  
Magnetic Fluid ◽  
Parallel Flow ◽  
Plane Parallel ◽  
Steady Plane
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