Journal ArticleDOI
Stability of Hagen-Poiseuille flow with superimposed rigid rotation
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In this article, the linear stability of Hagen-Poiseuille flow with superimposed rigid rotation against small three-dimensional disturbances is examined at finite and infinite axial Reynolds numbers.Abstract:
The linear stability of Hagen-Poiseuille flow (Poiseuille pipe flow) with superimposed rigid rotation against small three-dimensional disturbances is examined at finite and infinite axial Reynolds numbers. The neutral curve, which is obtained by numerical solution of the system of perturbation equations (derived from the Navier-Stokes equations), has been confirmed for finite axial Reynolds numbers by a few simple experiments. The results suggest that, at high axial Reynolds numbers, the amount of rotation required for destabilization could be small enough to have escaped notice in experiments on the transition to turbulence in (nominally) non-rotating pipe flow.read more
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Vortex stability and breakdown - Survey and extension
TL;DR: In this article, the authors analyse theorique et experimentale des conditions de stabilite and d'eclatement de tourbillons isoles incompressible for des valeurs elevees du nombre de Reynolds.
Journal ArticleDOI
Recent progress in understanding the transition to turbulence in a pipe
TL;DR: In this paper, saddle points in phase space have been found to represent the lowest level in a hierarchy of spatio-temporal periodic flow solutions which may be used to construct a cycle expansion theory of turbulent pipe flows.
Journal ArticleDOI
Optimal energy density growth in Hagen-Poiseuille flow
TL;DR: In this article, the linear stability of incompressible flow in a circular pipe is investigated using a vector function formulation involving the radial velocity and radial vorticity only, using eigenvalues and e-pseudoeigenvalues, respectively.
Journal ArticleDOI
A numerical and experimental investigation of the stability of spiral Poiseuille flow
TL;DR: The linear stability of the spiral motion induced between concentric cylinders by an axial pressure gradient and independent cylinder rotation is studied numerically and experimentally for a wide gap geometry as mentioned in this paper.
Journal ArticleDOI
Turbulent dynamics of pipe flow captured in a reduced model: puff relaminarization and localized `edge' states
Ashley P. Willis,Rich Kerswell +1 more
TL;DR: In this paper, a 2 + ∈-dimensional model of pipe flow is introduced, which is a minimal three-dimensionalization of the axisymmetric case: only sinusoidal variation in azimuth plus azímuthal shifts are retained; yet the same dynamics familiar from experiments are found.
References
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An Experimental Investigation of the Circumstances Which Determine Whether the Motion of Water Shall Be Direct or Sinuous, and of the Law of Resistance in Parallel Channels
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The stability of a trailing line vortex. Part 1. Inviscid theory
TL;DR: The inviscid stability of swirling flows with mean velocity profiles similar to that obtained by Batchelor (1964) for a trailing vortex from an aircraft is studied with respect to infinitesimal non-axisymmetric disturbances as discussed by the authors.
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Flow Development in the Hydrodynamic Entrance Region of Tubes and Ducts
TL;DR: In this paper, a new method of analysis has been devised for determining the developing laminar flow and corresponding pressure drop in the entrance region of tubes and ducts, formulated in a general manner which applies to ducts of any cross section.
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On the instability of viscous flow in a rapidly rotating pipe
TL;DR: In this article, the stability of almost fully developed viscous flow in a rotating pipe is considered and it is shown that the flow is unstable for Reynolds numbers R = Wor0/v greater than Rc [asymp ] 82[sdot ]9.