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Journal ArticleDOI

A Theory of Post-Stall Transients in Axial Compression Systems: Part II—Application

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TLDR
In this paper, a limited parametric study is carried out to illustrate the impact of different system features on transient behavior, and it is shown that the ultimate mode of system response, surge or stable rotating stall, depends not only on the B parameter, but also on the compressor length-to-radius ratio.
Abstract
Using the theory developed in Part I, calculations have been carried out to show the evolution of the mass flow, pressure rise, and rotating-stall cell amplitude during compression system post-stall transients. In particular, it is shown that the unsteady growth or decay of the stall cell can have a significant effect on the instantaneous compressor pumping characteristic and hence on the overall system behavior. A limited parametric study is carried out to illustrate the impact of different system features on transient behavior. It is shown, for example, that the ultimate mode of system response, surge or stable rotating stall, depends not only on the B parameter, but also on the compressor length-to-radius ratio. Small values of this latter quantity tend to favor the occurrence of surge, as do large values of B. Based on the analytical and numerical results, several specific topics are suggested for future research on post-stall transients.

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Citations
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Journal ArticleDOI

Stall, Surge, and 75 Years of Research

TL;DR: In this article, a semi-historical look at some of these fields of study (stall, surge, active control, rotating instabilities etc.) and examine the ideas which underpin each topic are presented.
Journal ArticleDOI

Role of Blade Passage Flow Structurs in Axial Compressor Rotating Stall Inception

TL;DR: In this paper, the influence of three-dimensional flow structures within a compressor blade passage has been examined computationally to determine their role in rotating stall inception, and the results showed a short length-scale (or spike) type of stall inception similar to that seen in experiments; to the best of our knowledge this is the first time such a feature has been simulated.
Journal ArticleDOI

Active control of compressor stall inception: a bifurcation-theoretic approach

TL;DR: It is found that feedback incorporating a term quadratic in the first-harmonic flow asymmetry variable renders the pitchfork bifurcation supercritical, thus eliminating the undesirable jump and hysteresis behavior of the uncontrolled system.
Journal ArticleDOI

Bifurcation analysis of axial flow compressor stability

TL;DR: In this article, the Moore-Greitzer model for compressor instability is reduced to a set of three ordinary differential equations, which are approached from the point of view of bifurcation theory.
References
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Book

Computational methods for fluid flow

TL;DR: In this article, the authors present a method for numerique numeriques for programmation with differences between finies and viscosite reference records. But the method is not presented in detail.
Journal ArticleDOI

A Theory of Post-Stall Transients in Axial Compression Systems: Part I—Development of Equations

TL;DR: In this paper, an approximate theory for post-stall transients in multistage axial compression systems is presented, which leads to a set of three simultaneous nonlinear third-order partial differential equations for pressure rise, and average and disturbed values of flow coefficient, as functions of time and angle around the compressor.
Journal ArticleDOI

A Simple Model for Compressor Stall Cell Propagation

TL;DR: In this article, a simple model for full-span stall cells in axial compressors has been formulated and the sudden changes in velocity across blade rows as the blade passages enter and leave the stall are shown to have important dynamical consequences for the stall flow field.
Proceedings ArticleDOI

Stalled Flow Performance for Axial Compressors: I — Axisymmetric Characteristic

TL;DR: In this paper, the axisymmetric performance of multistage compressors is investigated and a new compressor characteristic is developed, describing the axismmetric pumping performance over the entire compressor flow range, including reversed flow.
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