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Handbook of Turbomachinery Second Edition Revised - Ventech!

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etween the velocity diagram and the physical geometry <strong>of</strong> the turbine. The<br />

flow leaves the stator at an angle <strong>of</strong> a1 from the axial direction. The velocity<br />

vector V ! 1 can be broken into two components, Vx1 in the axial direction<br />

and Vy1 in the tangential direction. Note that the turbine work is controlled<br />

by the tangential component, while the turbine flow rate is controlled by the<br />

axial component (for an axial-flow turbine). The vector V ! 1 is measured in<br />

an absolute, nonrotating reference frame and is referred to as the absolute<br />

rotor inlet velocity. Likewise, the angle a1 is called the absolute flow angle at<br />

rotor inlet. A rotating reference frame can also be fixed to the rotor.<br />

Velocities in this reference are determined by subtracting the rotor velocity<br />

from the absolute velocity. Defining the relative velocity vector at the inlet<br />

to be W ƒ! 1, we can write<br />

ƒ!<br />

W 1 ¼ V ! 1 U1 ð10Þ<br />

The vector notation is not used for the rotor velocity U1 as it is always in the<br />

tangential direction. The relative velocity vector is also shown in Fig. 8(a).<br />

The relative flow angle b 1 is defined as the angle between the relative velocity<br />

vector and the axial direction. Inspection <strong>of</strong> the diagram <strong>of</strong> Fig. 8(a) reveals<br />

Figure 8 Velocity diagrams for an axial-flow turbine: (a) rotor inlet velocity<br />

diagram, (b) rotor exit velocity diagram.<br />

Copyright © 2003 Marcel Dekker, Inc.

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