www.sayer.com | March 2020
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the most amazing ideas and theories if we
factor those ‘not-things’ into the equation.
That is the core of many fallacies.
WHERE DOES LIFT COME FROM?
In a recent Scientic American article,
author Ed Regis maintains that ‘No One Can
Explain Why Planes Stay In The Air’.
He quotes John Anderson, curator of the
Air & Space Museum, who says: “There is no
simple one-liner answer to this”. He goes on to
describe the various popular ideas based on
Bernoulli’s theorems, arcane mathematical
formulas, portions of Newtonian physics and
even some contemporary academic ideas
that try to use air’s viscosity and ‘circulation’
to explain the mysteries of something that
appears supercially so simple: merely that a
wing that moves through the air with an angle
of attack thereby generates this mysterious
upward force that we call ‘lift’.
There are various corollaries to
Bernoulli’s ideas, such as the ‘equal transit
time’ theory which supposedly explains why
the air ows faster over the top of a wing, thus
giving credence to Bernoulli’s idea that this
will cause reduced pressure (or increased
vacuum) thus ‘sucking’ the wing upwards.
Even Albert Einstein fell for this fallacious
idea and designed his infamous ‘cat-backed’
humped aerofoil that was an utter failure.
Some more modern theories also
propound various ideas about how low
pressure above a wing draws the wing
upwards. But all of these ideas hang onto
the absurd idea that ‘non-pressure’ above
the wing somehow ‘pulls’ the wing upwards,
as though there are tiny strings or rubber
bands holding air molecules together
which somehow attach themselves to the
top surface of the wing and yank the wing
upwards as those molecules go howling past.
These ideas are nonsense. A thin uid
like air has zero tensile strength. You can’t
pull anything with air. If you don’t believe
me, try sucking a candle out. However, it
is easy to blow a candle out. This simple
demonstration shows that those non-
words mislead our thinking. There is no
‘suck, ‘suction’, ‘pull’, ‘vacuum’ or even ‘low
pressure’. Those words merely describe the
absence or partial absence of pressure.
Here is another example: take two
people pushing on either side of a door. If
one stops pushing, the door will move in that
direction. But the door moves not because
the person who stopped pushing ‘pulled’ or
‘sucked’ the door in that direction. The door
moved because the other person continued
to push it.
Even the term ‘pressure’ is misleading.
Pressure is force times area. Sure, Bernoulli
describes differing pressures on differing
parts of the wing, but this is about as relevant
as analysing whether the people pushing
the door are exerting more force with their
ngertips or with the palms of their hands.
It doesn’t matter, because we are only
interested in the total force, which we call lift.
Yet another misleading thing is the way
textbooks describe lift. There are usually
pictures of an aerofoil showing lines which
depict the air owing over the wing. Similarly,
we see videos showing smoke streams
owing around a wing mounted in a wind
tunnel. But the reality is that air is static and it
is the wing that is moving through that static
air that is generating lift. It is true that this
is technically irrelevant, the relative speed
of wing and air being the generator of lift.
However, these depictions lead to fallacious
thinking about non-things rather than the
things that matter.
NEWTON AGAIN
Almost all theorists nevertheless give
grudging credence to Newton’s 3rd law,
stating that for every action there is an equal
and opposite reaction. Depictions of a
person jumping off the front of a trolley – and
the trolley rolling in the opposite direction are
usually used to demonstrate this important
law. The force of the person’s legs pushing
the person forward equally push the trolley
backward.
This is an example which most people
easily understand. Note that, unlike the
Bernoulli protagonists, we are not concerned
about the pressure in psi or kg per square
centimetre which may be exerted by the
jumper’s heels, toes or foot arch. We are
only interested in the total force.
This brings us closer to a simple
understanding of lift. Anyone who has
stood close to a rotating wing, a spinning
propeller or helicopter rotor can easily feel
that the static air has been accelerated in
one direction. Which brings us to Newton’s
2nd law, which states that force equals mass
times acceleration. Therefore, it follows that
the mass of air that has been accelerated
backward or downward by the prop or rotor
will create an equivalent force that moves the
aircraft forward or the helicopter upward.
This is quite simple, but it is also rocket
science. A rocket obtains forward thrust
equal to the force it uses to accelerate the
mass of exhaust gases out the back.
The fact of the matter is that the air is
very soft oppy stuff. You cannot stand on
it. It tends to get out of your way. But is does
have mass and accelerating that mass will
exert an opposite force.
HOW A WING ACCELERATES AIR
The Newtonian aspects are quite easily
understood and demonstrated, but how the
heck does a wing accelerate a mass of air
downward in order to get an upward lifting
force?
There are two aspects to this. The rst
aspect is accepted by most theorists. A wing,
even a at board, which is pitched upward
a few degrees, will deect the mass of air
ahead of it downwards as it moves forwards.
Nothing clever about this. The air simply
has nowhere else to go. The higher leading
edge of the wing ‘splits’ the air, and that
static mass of air ahead and below the wing
is accelerated downwards, thus producing
some lift.
But that is not the end of it. Because
the mass of air ahead and below the wing
has been displaced downwards, it leaves
a void above and behind the wing. No, the
Bernoullian ‘vacuum’ above the wing does
not ‘suck’ the wing upwards. Remember, air
has no tensile strength, nor is it particularly
‘sticky’.
What actually happens is that the
atmospheric pressure of the air above that
void forces that air downwards to ll that
void. The effect is that the mass of air
above the wing has also been accelerated
downward and thus seeks to exert an equal
and opposite force upon the top of the wing.
The air below the wing is still pushing upward
due to atmospheric pressure, but the air
above has gone, and the air above the void
is pushed and accelerates downwards, but
behind the trailing edge of the wing. If the
top surface was still in the way, the wing itself
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