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Topology of flow patterns in vortex motions and turbulence

A. E. Perry, +1 more
- Vol. 53, pp 357-374
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TLDR
In this paper, critical point theory has been applied for the description and identification of eddying motions in turbulence and in vortex shedding, including both large scale and fine scale motions.
Abstract
Some applications of critical point theory are shown for the description and identification of eddying motions in turbulence and in vortex shedding. This includes both large scale and fine scale motions. Difficulties in the interpretations of flow topology are outlined with some examples.

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Citations
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An investigation of the near wake of a circular cylinder using a video-based digital cross-correlation particle image velocimetry technique

TL;DR: In this article, a cross-correlation particle image velocimetry (PIV) technique has been developed to measure the spatiotemporal in-plane velocity vector field evolution of time-dependent flows.
Journal ArticleDOI

Invariants of the velocity-gradient, rate-of-strain, and rate-of-rotation tensors across the turbulent/nonturbulent interface in jets

TL;DR: In this paper, the invariants of the velocity gradient R and Q, rate-of-strain RS and QS, and rate of rotation QW tensors are analyzed across the turbulent/nonturbulent T/NT interface by using a direct numerical simulation of a turbulent plane jet at Re120.
Journal ArticleDOI

Inclined cross-stream stereo particle image velocimetry measurements in turbulent boundary layers

TL;DR: Hutchins et al. as discussed by the authors used cross-stream stereo particle image velocimetry measurements in turbulent boundary layers to estimate the velocities of particle images in the boundary layers.
Journal ArticleDOI

A comparison between snapshot POD analysis of PIV velocity and vorticity data

TL;DR: Proper orthogonal decomposition was performed on both the fluctuating velocity and vorticity fields of a backward-facing step (BFS) flow at Reynolds numbers of 580 and 4,660 as mentioned in this paper.
Journal ArticleDOI

Particle image velocimetry measurements of a backward-facing step flow

TL;DR: In this article, a backward-facing step flow at a Reynolds number of Reh=U∞h/ν=4,660 (based on step height and freestream velocity) was measured using particle image velocimetry (PIV) measurements.
References
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Book ChapterDOI

A mathematical model illustrating the theory of turbulence

TL;DR: In this article, the application of statistical analysis and statistical mechanics to the problem of turbulent fluid motion has attracted much attention in recent years, and the authors investigated a complicated system of nonlinear equations, in order to find out enough about the properties of the solutions of these equations that insight can be obtained into the various patterns exhibited by the field and that data can be derived concerning the relative frequencies of these patterns in the hope that in this way a basis may be found for the calculation of important values.
Journal ArticleDOI

Direct simulation of a turbulent boundary layer up to R sub theta = 1410

TL;DR: In this paper, the turbulent boundary layer on a flat plate, with zero pressure gradient, is simulated numerically at four stations between R sub theta = 225 and R sub tta = 1410.
Journal ArticleDOI

A general classification of three-dimensional flow fields

TL;DR: In this paper, the geometry of solution trajectories for three first-order coupled linear differential equations can be related and classified using three matrix invariants for elementary three-dimensional flow patterns defined by instantaneous streamlines for flow at and away from no slip boundaries for both compressible and incompressible flow.
Journal ArticleDOI

A Description of Eddying Motions and Flow Patterns Using Critical-Point Concepts

TL;DR: On montre l'utilite des concepts de point critique dans la comprehension des regimes d'ecoulement as mentioned in this paper, le methode analytique et exemples d'application.
Journal ArticleDOI

On the mechanism of wall turbulence

TL;DR: In this article, a model for wall turbulence was proposed based on the horse-shoe, hairpin or "A" vortex, which gave a connection between the mean-velocity distribution, the broad-band turbulence-intensity distributions and the turbulence spectra.
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