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Handbook of Turbomachinery Second Edition Revised - Ventech!

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frequency and its higher harmonics [12]. Furthermore, because <strong>of</strong> its<br />

sensitivity to flow conditions, vortex shedding may well couple with other<br />

oscillatory acoustic or blade structural dynamic modes, and act as an<br />

excitation source.<br />

For passage shock oscillations, the flow physical mechanism is<br />

typically associated with shock/boundary-layer interaction, resulting in a<br />

thickened or separating boundary layer at the foot <strong>of</strong> passage shock wave.<br />

The oscillating shock patterns (frequencies) are very <strong>of</strong>ten suspected to be<br />

associated with acoustical modes within blade passages, similar to those<br />

found in transonic ducts (e.g., [13]). An oscillating shock wave produces a<br />

higher time-averaged loss than its steady counterpart. The existence <strong>of</strong><br />

shock oscillation can be easily identified from ‘‘steady’’ (time-averaged)<br />

experimental data showing a ‘‘smeared’’ shock wave. The range <strong>of</strong> smearing<br />

is normally a pretty good indication <strong>of</strong> the magnitude <strong>of</strong> the shock<br />

oscillation.<br />

Rotating Stall. Rotating stall is a circumferential flow instability, which is<br />

normally regarded as a precursor <strong>of</strong> compressor and engine surge. Apart<br />

from seriously detrimental effects on aerodynamic performances, it should<br />

also be noted that stall onset generates severe blade vibration problems. The<br />

vortical and reversal flow pattern produces transient aerodynamic loading<br />

<strong>of</strong> a considerable magnitude, causing blades to be overstressed. There is a<br />

need to estimate the maximum stress level in this fairly hostile environment,<br />

especially if the stability boundary can only be identified by crossing the<br />

boundary during experimental rig tests.<br />

There has been a considerable amount <strong>of</strong> work recently resulting in<br />

enhanced understanding <strong>of</strong> stall inception mechanisms based on experimental<br />

observations, e.g., [14]. It should also be mentioned that full-scale<br />

CFD simulations <strong>of</strong> stall inception have started to emerge which can help to<br />

understand complex physical mechanisms involved and identify relevant<br />

influencing parameters. For instance, computational studies using an<br />

unsteady Navier–Stokes time-domain flow solver for a compressor stage<br />

indicate that the initial stall inception pattern (number <strong>of</strong> cells, circumferential<br />

wavelength, and rotating speed) corresponds to that set by rotor–<br />

stator blade counts [15]. Figure 7shows the results at an initial stage <strong>of</strong> stall<br />

inception for the rotor and stator rows with blade numbers <strong>of</strong> 10 and 12,<br />

respectively. With these blade counts, the rotor and stator disturbances beat<br />

circumferentially twice per rotor revolution, resulting in an interference<br />

disturbance with a wavelength <strong>of</strong> half an annulus. This should explain why a<br />

two-cell structure is triggered as shown by a snapshot <strong>of</strong> entropy contours at<br />

the inception [Fig. 7(b)]. Figure 7(a) shows the time traces <strong>of</strong> axial velocities<br />

from four circumferential stationary positions upstream <strong>of</strong> the rotor row.<br />

Copyright © 2003 Marcel Dekker, Inc.

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