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Handbook of Turbomachinery Second Edition Revised - Ventech!

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espectively. Radial-inflow turbines supplied from a scroll, such as<br />

turbocharger turbines, <strong>of</strong>ten have no vanes in the stator. For turbines<br />

that must operate efficiently over a wide range <strong>of</strong> inlet flow conditions,<br />

variable-geometry stators are used, typically with pivoting stator vanes. For<br />

high-temperature applications, the stator vanes are cooled using lowertemperature<br />

fluid, usually compressor bleed air.<br />

The purpose <strong>of</strong> the rotor is to extract energy from the flow, converting<br />

it to shaft power. The rotor blades are attached to a rotating disk that<br />

transfers the torque <strong>of</strong> the rotor blades to the turbine output shaft. Like the<br />

stator, the rotor has a number <strong>of</strong> individual curved airfoils called rotor or<br />

turbine blades. The blades are angled to accept the flow from the stator with<br />

minimum disturbance when the turbine is operating at design conditions.<br />

The flow from the stator is then turned back in the opposite direction in a<br />

controlled manner, causing a change in tangential momentum and a force to<br />

be exerted on the blades. Figure 4shows cross sections <strong>of</strong> generic axial-flow<br />

and radial-inflow turbine blades. Axial-flow rotors have been constructed<br />

with blades integral with the disk and with blades individually inserted into<br />

the disk using a dovetail arrangement. Cooling is <strong>of</strong>ten used for rotors in<br />

high-temperature applications. Exotic materials are sometimes used for both<br />

rotors and stators to withstand the high temperatures encountered in highperformance<br />

applications.<br />

The flow leaving the turbine rotor can have a significant amount <strong>of</strong><br />

kinetic energy. If this kinetic energy is converted to static pressure in an<br />

efficient manner, the turbine can be operated with a rotor discharge static<br />

pressure lower than the static pressure at diffuser discharge. This increases<br />

the turbine power output for given inlet and discharge conditions. Diffusers<br />

used with turbines are generally <strong>of</strong> the form shown in Fig. 5(a) and 5(b) and<br />

increase the flow area gradually by changes in passage height, mean radius<br />

<strong>of</strong> the passage, or a combination <strong>of</strong> the two. Diffusers with a change in<br />

radius have the advantage <strong>of</strong> diffusing the swirl component <strong>of</strong> the rotor<br />

discharge velocity as well as the throughflow component.<br />

Turbine Energy Transfer<br />

The combined parts <strong>of</strong> the turbine allow energy to be extracted from the<br />

flow and converted to useful mechanical energy at the shaft. The amount <strong>of</strong><br />

energy extraction is some fraction <strong>of</strong> the energy available to the turbine. The<br />

following describes the calculation <strong>of</strong> the available energy for a turbine and<br />

assumes familiarity with thermodynamics and compressible flow.<br />

Flow through a turbine is usually modeled as an adiabatic expansion.<br />

The process is considered adiabatic since the amount <strong>of</strong> energy transferred<br />

as heat is generally insignificant compared to the energy transferred as work.<br />

Copyright © 2003 Marcel Dekker, Inc.

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