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Journal ArticleDOI

Local and global instabilities in spatially developing flows

Patrick Huerre, +1 more
- 01 Jan 1990 - 
- Vol. 22, Iss: 1, pp 473-537
TLDR
In this article, a review of recent developments in the hydro- dynamic stability theory of spatially developing flows pertaining to absolute/convective and local/global instability concepts is presented.
Abstract
The goal of this survey is to review recent developments in the hydro­ dynamic stability theory of spatially developing flows pertaining to absolute/convective and local/global instability concepts. We wish to dem­ onstrate how these notions can be used effectively to obtain a qualitative and quantitative description of the spatio-temporal dynamics of open shear flows, such as mixing layers, jets, wakes, boundary layers, plane Poiseuille flow, etc. In this review, we only consider open flows where fluid particles do not remain within the physical domain of interest but are advected through downstream flow boundaries. Thus, for the most part, flows in "boxes" (Rayleigh-Benard convection in finite-size cells, Taylor-Couette flow between concentric rotating cylinders, etc.) are not discussed. Further­ more, the implications of local/global and absolute/convective instability concepts for geophysical flows are only alluded to briefly. In many of the flows of interest here, the mean-velocity profile is non-

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Dynamics and stability of lean-premixed swirl-stabilized combustion

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References
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Journal ArticleDOI

Perturbed Free Shear Layers

Journal ArticleDOI

On spatially growing disturbances in an inviscid shear layer

TL;DR: In this paper, the authors used the hyperbolic-tangent velocity profile of the disturbed shear layer to obtain better agreement with experimental results by means of the inviscid linearized stability theory of spatially growing disturbances.
Journal ArticleDOI

Absolute and convective instabilities in free shear layers

TL;DR: The absolute or convective character of inviscid instabilities in parallel shear flows can be determined by examining the branch-point singularities of the dispersion relation for complex frequencies and wavenumbers.
Journal ArticleDOI

A finite-element study of the onset of vortex shedding in flow past variously shaped bodies

TL;DR: In this paper, the onset of periodic behavior in two-dimensional laminar flow past bodies of various shapes is examined by means of finite-element simulations, and the transition from steady to periodic flow is marked by a Hopf bifurcation, which is located by solving an appropriate extended set of steady-state equations.
Journal ArticleDOI

Stability of slowly diverging jet flow

TL;DR: In this paper, coherent axisymmetric structures in a turbulent jet are modelled as linear instability modes of the mean velocity profile, regarded as the profile of a fictitious laminar inviscid flow.