Energy stability of thermally modulated Poiseuille flow

1983 ◽  
Vol 34 (5) ◽  
pp. 583-595
Author(s):  
R. C. Shulze ◽  
S. Carmi
Keyword(s):  
Poiseuille Flow ◽  
Energy Stability

The Energy Stability Limit for Flow in a Curved Channel

1976 ◽  
Vol 43 (4) ◽  
pp. 548-550 ◽  
Author(s):  
D. F. Jankowski ◽  
D. I. Takeuchi
Keyword(s):  
Poiseuille Flow ◽  
Stability Limit ◽  
Energy Stability ◽  
Instability Mechanism ◽  
Plane Poiseuille Flow ◽  
Energy Limit ◽  
Curved Channel ◽  
Linear Limit ◽  
The Difference ◽  
Flow Case

The energy stability limit is calculated for flow in a curved channel due to a pressure gradient acting around the channel. The energy limit is found among transverse disturbances and is of the same order for all channel radius ratios. The difference between the previously available linear limit and the energy limit increases dramatically as the instability mechanism changes, with radius ratio, from centrifugal force to viscosity in the limiting plane Poiseuille flow case.

Energy stability limit for rotation-modified plane Poiseuille flow

1977 ◽  
Vol 20 (12) ◽  
pp. 2149 ◽  
Author(s):  
Daniel F. Jankowski ◽  
David R. Squire
Keyword(s):  
Poiseuille Flow ◽  
Stability Limit ◽  
Energy Stability ◽  
Plane Poiseuille Flow

Effect of Eccentricity on Couette-Poiseuille Flow in Stationary and Rotating Annular Space of Different Radii Ratios

2017 ◽  
Vol 17 (17) ◽  
pp. 1-16
Author(s):  
Reda Ameen ◽  
Khairy Elsayed ◽  
Abdel Hamed Helali ◽  
Hosny Abou-Ziyan
Keyword(s):  
Poiseuille Flow ◽  
Annular Space

Temperature influence on orientation dynamics of oscillatory Poiseuille flow of nematic liquid crystal

2010 ◽  
Vol 7 ◽  
pp. 172-181
Author(s):  
I.Sh. Nasibullayev ◽  
U.R. Kamaletdinova
Keyword(s):  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Poiseuille Flow ◽  
External Influence ◽  
Temperature Influence ◽  
Surface Anchoring ◽  
Orientation Behaviour ◽  
Orientation Change ◽  
Low Amplitude ◽  
Flow Plane

In this work is studying temperature influence and surface anchoring in orientation behaviour of oscillatory Poiseuille flow of nematic liquid crystal (NLC) in the plane cell. Without external influence molecules lays along flow plane. Molecules orientation change and caused by this back-flow is studied by low-amplitude decomposition.

Internal laminar flow

2018 ◽  
Author(s):  
Marcel Escudier
Keyword(s):  
Poiseuille Flow ◽  
Stokes Equations ◽  
Circular Cross Section ◽  
Navier Stokes ◽  
Parallel Plates ◽  
Concentric Cylinder ◽  
Navier Stokes Equations ◽  
Concentric Cylinders ◽  
Constant Viscosity ◽  
Pressure Driven Flow

In this chapter it is shown that solutions to the Navier-Stokes equations can be derived for steady, fully developed flow of a constant-viscosity Newtonian fluid through a cylindrical duct. Such a flow is known as a Poiseuille flow. For a pipe of circular cross section, the term Hagen-Poiseuille flow is used. Solutions are also derived for shear-driven flow within the annular space between two concentric cylinders or in the space between two parallel plates when there is relative tangential movement between the wetted surfaces, termed Couette flows. The concepts of wetted perimeter and hydraulic diameter are introduced. It is shown how the viscometer equations result from the concentric-cylinder solutions. The pressure-driven flow of generalised Newtonian fluids is also discussed.

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