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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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Radial Flow Gas Turbines 249<br />

FIG. 8.3. Layout <strong>and</strong> velocity diagrams for a 90deg inward-flow radial turbine at the<br />

nominal design point.<br />

turbines (discussed in Chapter 9) a diffuser is invariably used <strong>and</strong> is called the<br />

draught tube.<br />

In Figure 8.3 the velocity triangles are drawn to suggest that the inlet relative velocity,<br />

w2, is radially inward, i.e. zero incidence flow, <strong>and</strong> the absolute flow at rotor exit, c 3, is<br />

axial. This configuration <strong>of</strong> the velocity triangles, popular with designers for many years,<br />

is called the nominal design condition <strong>and</strong> will be considered in some detail in the following<br />

pages. Following this the so-called optimum efficiency design will be explained.<br />

<strong>Thermodynamics</strong> <strong>of</strong> the 90deg IFR turbine<br />

The complete adiabatic expansion process for a turbine comprising a nozzle blade<br />

row, a radial rotor followed by a diffuser corresponding to the layout <strong>of</strong> Figure 8.3, is<br />

represented by the Mollier diagram shown in Figure 8.4. In the turbine, frictional<br />

processes cause the entropy to increase in all components <strong>and</strong> these irreversibilities are<br />

implied in Figure 8.4.<br />

Across the nozzle blades the stagnation enthalpy is assumed constant, h01 = h02 <strong>and</strong>,<br />

therefore, the static enthalpy drop is<br />

(8.1)<br />

corresponding to the static pressure change from p 1 to the lower pressure p2. The ideal<br />

enthalpy change (h1 - h2s) is between these same two pressures but at constant entropy.

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