A note on the stability of developing laminar pipe flow subjected to axisymmetric and non-axisymmetric disturbances

1975 ◽  
Vol 68 (02) ◽  
pp. 345 ◽  
Author(s):  
Turgut Sarpkaya
Keyword(s):  
Pipe Flow ◽  
The Stability ◽  
Axisymmetric Disturbances ◽  
Laminar Pipe Flow

scholarly journals The stability of developing pipe flow at high Reynolds number and the existence of nonlinear neutral centre modes

2011 ◽  
Vol 684 ◽  
pp. 284-315 ◽  
Author(s):  
Andrew G. Walton
Keyword(s):  
Reynolds Number ◽  
Pipe Flow ◽  
High Reynolds Number ◽  
Pipe Wall ◽  
Fluid Velocity ◽  
Nonlinear Effects ◽  
Neutral Curve ◽  
High Reynolds ◽  
The Stability ◽  
Axisymmetric Disturbances

AbstractThe high-Reynolds-number stability of unsteady pipe flow to axisymmetric disturbances is studied using asymptotic analysis. It is shown that as the disturbance amplitude is increased, nonlinear effects first become significant within the critical layer, which moves away from the pipe wall as a result. It is found that the flow stabilizes once the basic profile has become sufficiently fully developed. By tracing the nonlinear neutral curve back to earlier times, it is found that in addition to the wall mode, which arises from a classical upper branch linear stability analysis, there also exists a nonlinear neutral centre mode, governed primarily by inviscid dynamics. The centre mode problem is solved numerically and the results show the existence of a concentrated region of vorticity centred on or close to the pipe axis and propagating downstream at almost the maximum fluid velocity. The connection between this structure and the puffs and slugs of vorticity observed in experiments is discussed.

scholarly journals Experimental and theoretical progress in pipe flow transition

2008 ◽  
Vol 366 (1876) ◽  
pp. 2671-2684 ◽  
Author(s):  
A.P Willis ◽  
J Peixinho ◽  
R.R Kerswell ◽  
T Mullin
Keyword(s):  
Pipe Flow ◽  
Quantitative Agreement ◽  
Travelling Wave ◽  
Turbulent Pipe Flow ◽  
Transition To Turbulence ◽  
Reynolds Number Flow ◽  
Threshold Amplitude ◽  
Number Flow ◽  
The Stability ◽  
Laminar State

There have been many investigations of the stability of Hagen–Poiseuille flow in the 125 years since Osborne Reynolds' famous experiments on the transition to turbulence in a pipe, and yet the pipe problem remains the focus of attention of much research. Here, we discuss recent results from experimental and numerical investigations obtained in this new century. Progress has been made on three fundamental issues: the threshold amplitude of disturbances required to trigger a transition to turbulence from the laminar state; the threshold Reynolds number flow below which a disturbance decays from turbulence to the laminar state, with quantitative agreement between experimental and numerical results; and understanding the relevance of recently discovered families of unstable travelling wave solutions to transitional and turbulent pipe flow.

Skin Friction in Unsteady Laminar Pipe Flow

1976 ◽  
Vol 102 (1) ◽  
pp. 41-56
Author(s):  
Mario F. Letelier S. ◽  
Hans J. Leutheusser
Keyword(s):  
Skin Friction ◽  
Pipe Flow ◽  
Laminar Pipe Flow

The Effect of the Earth’s Rotation on Laminar Flow in Pipes

1956 ◽  
Vol 23 (1) ◽  
pp. 123-127
Author(s):  
G. S. Benton
Keyword(s):  
Laminar Flow ◽  
Secondary Flow ◽  
Cross Section ◽  
Pipe Flow ◽  
Earth’S Rotation ◽  
Laboratory Studies ◽  
Earth's Rotation ◽  
Parabolic Profile ◽  
Set Up ◽  
Laminar Pipe Flow

Abstract The theory of laminar pipe flow has been developed, retaining the effect of the earth’s rotation. A secondary flow is set up in the pipe cross section which results in distortion of the usual parabolic profile. The distortion may be significant in pipes of moderate diameter. Laboratory studies tend to substantiate these conclusions.

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