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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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70 <strong>Fluid</strong> <strong>Mechanics</strong>, <strong>Thermodynamics</strong> <strong>of</strong> <strong>Turbomachinery</strong><br />

(a)<br />

Total pressure loss coefficient, x<br />

(b)<br />

0.15<br />

0.10<br />

0.05<br />

Incidence, i = a1 – a¢ 1 deg<br />

–30 –20 –10<br />

Incidence, i deg<br />

0 10<br />

FIG. 3.12. (a) Compressor cascade characteristics (Howell 1942). (By courtesy <strong>of</strong> the<br />

Controller <strong>of</strong> H.M.S.O., Crown copyright reserved.) (b) True variation <strong>of</strong> total pressure<br />

loss versus incidence angle—a replot <strong>of</strong> the data in (a).<br />

There is a pronounced increase in total pressure loss as the incidence rises beyond a<br />

certain value <strong>and</strong> the cascade is stalled in this region. The precise incidence at which<br />

stalling occurs is difficult to define <strong>and</strong> a stall point is arbitrarily specified as the incidence<br />

at which the total pressure loss is twice the minimum loss in total pressure.<br />

Physically, stall is characterised (at positive incidence) by the flow separating from the<br />

suction side <strong>of</strong> the blade surfaces. With decreasing incidence, total pressure losses again<br />

rise <strong>and</strong> a “negative incidence” stall point can also be defined as above. The working<br />

range is conventionally defined as the incidence range between these two limits at<br />

which the losses are twice the minimum loss. Accurate knowledge <strong>of</strong> the extent <strong>of</strong> the<br />

working range, obtained from two-dimensional cascade tests, is <strong>of</strong> great importance<br />

when attempting to assess the suitability <strong>of</strong> blading for changing conditions <strong>of</strong><br />

operation. A reference incidence angle can be most conveniently defined either at the

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