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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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or<br />

(4.22b)<br />

after using eqn. (4.21).<br />

If b3 = b 2, the reaction is zero; if b 3 = a 2 the reaction is 50%. These two special cases<br />

are discussed below in more detail.<br />

Zero reaction stage<br />

Axial-flow Turbines: Two-dimensional Theory 103<br />

From the definition <strong>of</strong> reaction, when R = 0, eqn. (4.18) indicates that h2 = h 3 <strong>and</strong><br />

eqn. (4.22a) that b2 = b3. The Mollier diagram <strong>and</strong> velocity triangles corresponding to<br />

these conditions are sketched in Figure 4.5. Now as h02rel = h 03rel <strong>and</strong> h 2 = h 3 for R = 0<br />

it must follow, therefore, that w2 = w3. It will be observed from Figure 4.5 that, because<br />

<strong>of</strong> irreversibility, there is a pressure drop through the rotor row. The zero reaction stage<br />

is not the same thing as an impulse stage; in the latter case there is, by definition, no<br />

pressure drop through the rotor. The Mollier diagram for an impulse stage is shown in<br />

Figure 4.6 where it is seen that the enthalpy increases through the rotor. The implica-<br />

FIG. 4.5. Velocity diagram <strong>and</strong> Mollier diagram for a zero reaction turbine stage.<br />

FIG. 4.6. Mollier diagram for an impulse turbine stage.

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