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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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hub–tip ratio, u<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

Axial-flow Turbines: Two-dimensional Theory 133<br />

Crawl region<br />

Full self-start<br />

region<br />

0<br />

0 0.4 0.8<br />

s<br />

FIG. 4.28. Self-starting capability <strong>of</strong> the Wells turbine (adapted from Raghunathan<br />

et al. 1995).<br />

enables a higher torque <strong>and</strong> efficiency to be obtained from the reciprocating airflow.<br />

According to the authors the turbine is geometrically simpler <strong>and</strong> would be less expensive<br />

to manufacture than some earlier methods using “active” pitch-controlled blades,<br />

e.g. Sarmento et al. (1987), Salter (1993).<br />

The working principle with self-pitch-controlled blades is illustrated in Figure 4.29.<br />

This shows one <strong>of</strong> the turbine blades fixed to the hub by a pivot located near the leading<br />

edge, allowing the blade to move between two prescribed limits, ±g. An aer<strong>of</strong>oil set at<br />

a certain angle <strong>of</strong> incidence experiences a pitching moment about the pivot, which<br />

causes the blade to flip. In this new position the blade develops a higher tangential force<br />

<strong>and</strong> torque at a lower rotational speed than was obtained with the original fixed-blade<br />

design <strong>of</strong> the Wells turbine.<br />

Kim et al., using a piston-driven wind tunnel, measured the performance characteristics<br />

<strong>of</strong> the turbine under steady flow conditions. To determine its running <strong>and</strong> starting<br />

characteristics, a quasi-steady computer simulation <strong>of</strong> the oscillating through-flow<br />

was used together with the steady-state characteristics. Details <strong>of</strong> the turbine rotor are<br />

Blade pr<strong>of</strong>ile NACA 0021 Hub–tip ratio 0.7<br />

Blade chord, l 75mm Tip diameter 298mm<br />

No. <strong>of</strong> blades, Z 8 Hub diameter 208mm<br />

Solidity 0.75 Blade length, H 45mm

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