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Advances
in sail aerodynamics
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Sail aerodynamics
owe their heritage to airplanes, in good
and bad. Much of the earlier work on sail
aerodynamics is based on knowledge derived
from the aircraft industry. The sailboat
is so different from the airplane, however,
that many assumptions turn out to be if
not erroneous, at least misleading. Airplanes
have long and smooth, only slightly cambered,
thick wings. They are designed for specific
speeds and operational conditions. Sails,
on the other hand, are often of lower aspect
ratio, highly cambered, thin and twisted,
and have to operate in a variety of conditions
and wind speeds in a turbulent layer of
air above the sea surface. For the underwater
hull & fins,
lessons learned from airplanes are more
valid than for sails.
In the last few years, advances in CFD
(Computer Fluid Dynamics) and FSI (Fluid
Structure Interaction) have changed the
way we perceive sail aerodynamics. Old
beliefs are proven wrong and new features
found. This treatise is divided in two
parts, in the first we look at the
sails from the windward and in the second
from the leeward side. Click on "hotspots" below
for more on the subject:
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The
mast is not a drag device
The mainsail behind the mast prevents the
typical drag creating "vortex street" from
forming. Instead, flow is accelerated rapidly
in front of the mast, resulting in a suction
force towards the bow. This suction can create
a positive drive up to 5% of the total drive
of the sails. Traditionally, the mast has
been considered as a nuisance only, creating
air drag. It would seem to be more appropriate
to think of the mast as part of the mainsail
profile instead.
Most of the positive drive
comes from the topmast above the hounds.
In this part of the rig, wind is more twisted
to the side, partly because there is no jib
or genoa interfering, and partly because
of the head vortices shed by the sails.
Thus, for a 9/10-rigged, modern boat equipped
with a jib rather than a genoa, the mast
drive can be negligible or it can be even
negative, real drag.
In case of a genoa
equipped boat, the lower part of the mast
lies in a more beneficial airflow than
for a jib equipped boat. Aft rake contributes
to the intensity of the vortex behind the
mast. This could be one reason for the
benefits of raking the mast aft in fractionally
rigged boats.
Note that in aerodynamic
terms, the mast does produce drag, as the
aerodynamic drag is defined in the direction
of the apparent wind. But in hydrodynamic
terms, where the drag is oriented against
the direction of the motion of the boat,
the drag is often negative.
Above: The mainsail
prevents the usual
drag creating "vortex
street" from forming behind the
mast. The zone of dead air is much less
severe than in the case of an isolated
pole. As a consequence, the mast can
add to the total drive of the boat, instead
of dragging back like an empty pole would.
Below: Close-up on the Star-mast reveals
a strongly accelerated flow on the front-leeward
side (in red), especially in the upper
part of the mast.
Click on the pictures for more...
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Luff
vortices on the windward side
When you are pinching high into the
wind, flow separation occurs on the inside
(windward side) of the sails. The separation
mechanism is different from what we have
learnt from long, slender and thick airplane
wings, where leading edge separation
tends to form confined "bubbles".
Especially at the luff of the jib, which
is raked back at an angle to the horizontal
and the airflow, the separating flow
has a tendency to swirl into a vortex
or "mini-tornado" sucking the
air up towards the top of the sail.
The "tornado" initially starts
closer to the top of the jib, wandering
gradually down the luff of the jib as the
boat is steered closer to the wind. This
is clearly witnessed by tell-tales placed
closed to the luff: Initially, all tell-tales
stream horizontally, then the yarns close
the head start to stream upwards, followed
by those in mid-luff and finally even the
yarns above the tack flip vertical. This
all happens before the luff of the jib
starts noticeably to backwind, so tell-tales
are useful indicators indeed.
A similar vortex can be seen on the windward
side of the mainsail, although the mast
interferes with the flow. The sharp luff
of the jib promotes the forming of the
vortex, while in the case of the main the
roundness of the mast tends to dampen it.
The main is also more prone to backwinding
before the vortex is fully formed.
Above: The luff vortex formed on the
inside of a Star jib. Below: Luff
vortex on a Finn-dinghy sail.
Click on the pictures
for more...
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Wind
gradient effects
Wind speed is slowed down by friction closer
to the sea level. This effect is often called
the wind gradient, or also the atmospheric
surface layer. When this change in wind speed
with height is combined to the speed of the
boat, we get what is called the wind shear.
The apparent wind that the sails experience
is on one hand weakened close to the foot
of the sails, and on the other hand it is
twisted so that the upper part of the sails
experience a "lift".
While sailing upwind, the twist effect
of the apparent wind is in the order of
3-5 degrees. Downwind it can be significantly
more, over 20 degrees in some cases. The
frictional effect is rather more important
for smaller boats, reducing the power of
the sails up to 25% compared to a uniform
flow. From the sail design point of view,
as well as velocity predictions (VPP),
the wind gradient/wind shear phenomenon
is important.
Above: In beam wind, the flow can be
bent over 20 degrees from deck level to the
mast top.. At the deck level, the inflow
is clearly in front of abeam, while towards
the top of the mast the air comes abaft the
beam.
Below: Closer to the sea surface,
wind speed is reduced (blue tones), while
higher up it is accelerated (green-yellow-red
tones).
Click on the pictures for more...
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Natural
wind turbulence
Turbulence in the atmospheric surface layer
closer to the sea varies, depending on the
weather, wind direction and other factors.
Turbulence intensity in the natural wind
over the sea is in the order of 1%
of wind speed, and more in rough conditions.
The wind turbulence has an influence on sails:
it seems that flow is less prone to separate
when turbulence increases. This could be
the reason that some sails work better on
one day than another, and also in different
places & conditions. Unfortunately,
little data is available about natural wind
turbulence and more research is needed there.
Click on the pictures
for more...
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Hull
effects
The hull influences air flow on the sails,
and the sails exert pressure on the hull
- there is an interaction that sometimes
benefits both. The deck acts as an endplate
for the jib, carrying its load all the
way down to the deck. This is in practice
equivalent to increasing the aspect ratio
of the sailplan.
The air flowing over the edge of the deck
rolls into a vortex, which blocks some
of the air under the mainsail foot. On
the leeward side, the hull tangles the
jib foot vortex together with the one shed
under the mainsail foot, which leads in
a reduction in the suction of the vortex
core, beneficial for performance.
Above: Air rolling into a vortex over
the deck of a Star-boat sailing upwind.
The deck edge vortex deflects air upwards
on the mainsail, preventing some of it
from slipping under the boom.
Below: pressures on the Star-boat
hull & crew at AWA 27 degrees: blue
shades are pressure higher than atmospheric,
red colors indicate lower pressures.
Green is neutral, or near atmospheric.
Click on the pictures
for more...
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