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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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

Efficiency, %<br />

FIG. 4.19. Cooled HP turbine rotor blade showing the cooling passages (courtesy <strong>of</strong><br />

Rolls-Royce plc).<br />

90<br />

80<br />

70<br />

Conway, Spey<br />

Uncooled<br />

ADOUR<br />

High hub–tip ratio<br />

Internal convection<br />

cooling<br />

RB 211<br />

Internal convection<br />

<strong>and</strong> film cooling<br />

1300 1500 1700<br />

1900<br />

Turbine entry temp., K<br />

Low hub–tip ratio<br />

Engine test<br />

facility results<br />

Transpiration<br />

cooling<br />

FIG. 4.20. Turbine thermal efficiency vs inlet gas temperature. WILDE (1977).<br />

<strong>and</strong> turbine <strong>of</strong> a jet engine. When a turbine can be expected to operate close to its design<br />

incidence (i.e. in the low loss region) the turbine characteristics can be reduced to a<br />

single curve. Figure 4.21, due to Mallinson <strong>and</strong> Lewis (1948), shows a comparison <strong>of</strong><br />

typical characteristics for one, two <strong>and</strong> three stages plotted as turbine overall pressure<br />

ratio p 0II/p 0I against a mass flow coefficient m . (÷T 01)/p 0I. There is a noticeable tendency<br />

for the characteristic to become more ellipsoidal as the number <strong>of</strong> stages is increased.<br />

At a given pressure ratio the mass flow coefficient, or “swallowing capacity”, tends to

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