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Journal ArticleDOI

Experiments on vortex stability

Param Indar Singh, +1 more
- 01 Dec 1976 - 
- Vol. 19, Iss: 12, pp 1858-1863
TLDR
In this paper, the tip vortex of a laminar flow wing was studied at a sectional lift-to-drag ratio of 60.8×104, where Γ is the total circulation and ν is the kinematic viscosity.
Abstract
The tip vortex of a laminar flow wing was studied at a sectional lift‐to‐drag ratio of 60. The vortex Reynolds number was Γ0/ν=7.8×104, where Γ0 is the total circulation and ν is the kinematic viscosity. At and near the wing the vortex core was turbulent with an axial jet. Downstream of the wing the jet rapidly dissipated and a wake developed in the core and intensity of turbulent velocities decreased. From 13 to 40 chord length periodic oscillations dominated the velocity fluctuations with little background turbulence. These instabilities had a symmetric and a helical mode with wavelength of the same order as the core diameter. In this range of distances along the vortex core the maximum axial, swirl, and fluctuating velocities vary slowly. At 40 chord lengths behind the wing there is a rapid change in these velocities. This change of state of the vortex core is accompanied by change of velocity fluctuations from periodic to turbulent. The core showed spatial excursions. Measurements up to 80 chord lengths downstream showed no self‐similar decay.

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Citations
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Journal ArticleDOI

The structure of vortex breakdown

TL;DR: In this article, the authors present a survey of vortex breakdown, which is a disturbance characterized by the formation of an internal stagnation point on the vortex axis, followed by reversed flow in a region of limited axial extent.
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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.
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The structure and development of a wing-tip vortex

TL;DR: In this article, a theory was developed to correct mean-velocity profiles for the effects of wandering and to provide complete quantitative estimates of its amplitude and contributions to Reynolds stress fields.
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Airplane trailing vortices

TL;DR: A review of the formation, motion, and persistence of trailing vortices is presented in this article, which highlights findings or shifts made since Widnall's (1975) review in this series.
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A sufficient condition for the instability of columnar vortices

TL;DR: In this paper, the inviscid instability of columnar vortex flows in unbounded domains to three-dimensional perturbations is considered and a sufficient condition for columnar vortices is formulated.
References
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Fluid-dynamic drag

S. F. Hoerner
Journal ArticleDOI

On the Dynamics of Revolving Fluids

TL;DR: So much of meteorology depends ultimately upon the dynamics of revolving fluid that it is desirable to formulate as clearly as possible such simple conclusions as are within the authors' reach, in the hope that they may assist their judgment when an exact analysis seems impracticable.
Journal ArticleDOI

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.
Journal ArticleDOI

Slender-body analysis of the motion and stability of a vortex filament containing an axial flow

TL;DR: In this article, the effect of axial flow on the stability of a single vortex filament and a pair of vortices has been investigated and the stability boundary has been obtained.
Journal ArticleDOI

Stability of Coaxial Rotating Jet and Vortex of Different Densities

TL;DR: In this paper, the stability of a rotating axisymmetric jet surrounded by a potential vortex to infinitesimal disturbances in the inviscid incompressible fluid approximation is considered.