27.11.2012 Views

sin αst

sin αst

sin αst

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

LIST OF ATTACHMENTSROTOR THEORY<br />

134<br />

� There is no aerodynamic interaction between the elements (no radial flow)<br />

� The forces on the blades are determined solely by the lift and drag characteristics<br />

of the blade airfoil<br />

The differential contribution to axial force (thrust) is<br />

Whereby the total axial forces can be calculated from<br />

The differential contribution to torque is<br />

1<br />

dT<br />

2 � W2 = c B Cy dr<br />

R<br />

1<br />

T B<br />

r<br />

2<br />

0<br />

� W 2 �<br />

= � c Cy d<br />

�<br />

�<br />

1<br />

dQ<br />

2 � W2 = c B Cx r dr<br />

From which the total torque and the power may be calculated<br />

R<br />

1<br />

Q B<br />

r<br />

2<br />

0<br />

� W 2 �<br />

= � c Cx r d<br />

�<br />

�<br />

R<br />

1<br />

Pr � B<br />

r<br />

2<br />

0<br />

� W 2 �<br />

= � c Cx r d<br />

�<br />

�<br />

The rotor efficiency may be calculated by<br />

The efficiency may also be denoted by a Cp value<br />

� r<br />

C p<br />

=<br />

P r<br />

P betz<br />

16<br />

27 � =<br />

r<br />

U<strong>sin</strong>g the described BEM theory and iterative calculation methods, it is possible to deter-<br />

(B.11)<br />

(B.12)<br />

(B.13)<br />

(B.14)<br />

(B.15)<br />

(B.16)<br />

(B.17)<br />

mine the axial force (thrust) and tangential force (torque) on annular sections of the rotor<br />

as a function of flow angles and airfoil characteristics. This makes it possible to determine<br />

the rotor performance for an arbitrary blade shape, which is done via the developed calcu-<br />

lation tool, described in appendix C. It is additionally possible establish the ideal shape of a

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!