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43 Aerodynamic Behaviour of a New Type of Slow-Running VAWT 237<br />

Aerodynamic coefficients<br />

0.45<br />

0.4<br />

0.35<br />

0.3<br />

0.25<br />

0.2<br />

0.15<br />

0.1<br />

0.05<br />

0<br />

C m<br />

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8<br />

Fig. 43.4. Aerodynamic performances of the conventional Savonius rotor [8]<br />

model represented in Fig. 43.2. The three geometric parameters e, e ′ and θ<br />

are selected for the numerical study.<br />

The influence of the dynamic parameter, namely the Reynolds number<br />

ReD, based on the rotor diameter D of the rotor, has also been investigated [7].<br />

Only the influence of the overlap is presented in this paper.<br />

The finite volume mesh obtained is about 50,000 cells large and made<br />

of quadrilaterals. First-order discretisation schemes have been used for the<br />

pressure and the velocity computations of an incompressible flow, together<br />

with a high Reynolds number two equations turbulence model.<br />

The calculations have been realised using a static calculation (rotor supposed<br />

to be fixed whatever the wind direction θ) and also a dynamic calculation.<br />

Only the static calculation is presented here.<br />

43.4 Results<br />

For the present calculation, the Reynolds number corresponds to the nominal<br />

conditions for the prototype [6]: ReD = 1.56 × 10 5 .<br />

43.4.1 Optimised Savonius Rotor<br />

A static simulation of the flow around few Savonius rotors, allowed to determine<br />

the pressure distribution on the paddles for different values of the wind<br />

direction θ. (c.f. example on Fig. 43.5). Then the static torque is calculated as<br />

a function of θ (Fig. 43.6).<br />

The present simulation gives satisfactory results since the differences between<br />

the numerical simulation and the experimental data [9] are inferior to<br />

10% for most angles θ. The optimal value for the relative overlap ratio e/d<br />

C p<br />

λ

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