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Rotorcraft Flying Menu > General Aerodynamics > Lift
Magnus Effect
The explanation of lift can best be explained
by looking at a cylinder rotating in an airstream. The local
velocity near the cylinder is composed of the airstream velocity
and the cylinder’s rotational velocity, which decreases
with distance from the cylinder. On a cylinder, which is rotating
in such a way that the top surface area is rotating in the same
direction as the airflow, the local velocity at the surface
is high on top and low on the bottom.
As shown in figure 2-7, at point “A,”
a stagnation point exists where the airstream line that impinges
on the sur-face splits; some air goes over and some under. Another
stagnation point exists at “B,” where the two air
streams rejoin and resume at identical velocities. We now have
upwash ahead of the rotating cylinder and downwash at the rear.
Figure 2-7. Magnus Effect is a lifting
force produced when a rotating cylinder produces a pressure
differential. This is the same effect that makes a baseball
curve or a golf ball slice.
The difference in surface velocity accounts
for a differ-ence in pressure, with the pressure being lower
on the top than the bottom. This low pressure area produces
an upward force known as the “Magnus Effect.” This
mechanically induced circulation illustrates the rela-tionship
between circulation and lift.
An airfoil with a positive angle of attack
develops air circulation as its sharp trailing edge forces the
rear stagnation point to be aft of the trailing edge, while
the front stagnation point is below the leading edge. [Figure
2-8]
Figure 2-8. Air circulation around
an airfoil occurs when the front stagnation point is below the
leading edge and the aft stagnation point is beyond the trailing
edge.
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