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Handbook of Turbomachinery Second Edition Revised - Ventech!

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The two-cell pattern with a relatively short circumferential wavelength<br />

rotates in the absolute frame <strong>of</strong> reference at a faster speed (60% <strong>of</strong> rotation<br />

speed) before merging to a more common single-cell pattern rotating at a<br />

slower speed (48% <strong>of</strong> rotation speed). However, if the rotor–stator blade<br />

counts are such that the interference wavelength is the whole annulus, a<br />

single-cell pattern will be triggered directly, as shown in Fig. 8, where the<br />

rotor and stator blade numbers are 10 and 9, respectively. The overall<br />

observation is that although a single-cell pattern rotating at about 50% rotor<br />

speed is the most common one, a multiple-cell structure might occur at an<br />

initial stage <strong>of</strong> stall inception if the stalling blade row is subject a distortion<br />

disturbance <strong>of</strong> the same circumferential wave pattern. A numerical analysis<br />

<strong>of</strong> 3D unsteady CFD results for a fan rotor at subsonic and relatively<br />

supersonic flow conditions [16] suggests that the basic stall inception<br />

mechanisms in high-speed transonic flows might be qualitatively different<br />

from that at low speeds due to the difference between propagating<br />

information upstream in subsonic flow and in supersonic flow.<br />

So far, most <strong>of</strong> the research activities are largely aimed at providing<br />

detailed (even qualitative) information to help understanding, motivated by<br />

the prospect <strong>of</strong> active control/depression <strong>of</strong> rotating stall. We must<br />

appreciate that true prediction <strong>of</strong> exact stall onset conditions for<br />

determining suitable stall margins during designs is still extremely difficult,<br />

depending strongly on numerical resolution, turbulence modeling, and<br />

boundary condition treatment <strong>of</strong> truncated computational domains.<br />

Aeroelastic Instability (Flutter)<br />

Blade flutter is a self-excited aeroelastic instability phenomenon. When<br />

working blades are disturbed aerodynamically or mechanically, they tend to<br />

vibrate in their natural modes with small amplitudes, which will in turn<br />

induce unsteady aerodynamic forces. At certain conditions, the unsteady<br />

forces resulting from the initial blade vibration will do a net work (energy<br />

input) to the blade in each period <strong>of</strong> vibration. As a result, the initially small<br />

vibration will be amplified and the instability (flutter) will occur, <strong>of</strong>ten<br />

leading to blade failure if there is not enough mechanical damping to<br />

dissipate the energy.<br />

Flutter can be a serious problem for frontal stages <strong>of</strong> compressors, in<br />

particular fans <strong>of</strong> aero-engines, and needs to be addressed during a design<br />

process. Figure 9shows typical blade flutter boundaries in an axial-flow<br />

compressor/fan performance map. Corresponding aerodynamic conditions<br />

<strong>of</strong> the instabilities are indicated by the names given, which clearly suggest<br />

that steady and unsteady aerodynamics play an essential part in the<br />

aeroelastic instability. At low <strong>of</strong>f-design speeds, danger exists under high<br />

Copyright © 2003 Marcel Dekker, Inc.

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