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Gas Turbine Handbook : Principles and Practices

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<strong>Gas</strong> <strong>Turbine</strong> Systems Theory 57<br />

Figure 4-7. Compressor performance curve.<br />

Flutter—A self-excited vibration usually initiated by the airfoil approaching<br />

stall.<br />

Rotating Stall—As each blade row approaches its stall limit, it does<br />

not stall instantly or completely, but rather stalled cells are<br />

formed (Figure 4-8). These tend to rotate around the flow annulus<br />

at about half the rotor speed. Operation in this region is<br />

relatively short <strong>and</strong> usually proceeds into complete stall. Rotating<br />

stall can excite the natural frequency of the blades.<br />

The best way to illustrate airflow through a compressor stage is<br />

by constructing velocity triangles (Figure 4-9). Air leaves the stator<br />

vanes at an absolute velocity of C 1<br />

<strong>and</strong> direction θ 1<br />

. The velocity of<br />

this air relative to the rotating blade is W 1<br />

at the direction β 1<br />

. Air<br />

leaves the rotating stage with an absolute velocity C 2<br />

<strong>and</strong> direction<br />

θ 2<br />

, <strong>and</strong> a relative velocity W 2<br />

<strong>and</strong> direction β 2<br />

. Air leaving the second<br />

stator stage has the same velocity triangle as the air leaving the first<br />

stator stage. The projection of the velocities in the axial direction are<br />

identified as Cx, <strong>and</strong> the tangential components are Cu. The flow<br />

velocity is represented by the length of the vector. Velocity triangles<br />

will differ at the blade hub, mid-span, <strong>and</strong> tip just as the tangential<br />

velocities differ.<br />

Pressure rise across each stage is a function of the air density,

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