Tuesday, January 19, 2010

Busting Bernoulli's Lift

Today I'm sick with a cold, and the weather's been crap for almost a week now, so no flight training at the moment. Tomorrow is looking up however.

In the meantime I've been lazing around the house, playing computer games and browsing some aviation blogs. I came across one blog by an American flight instructor, which in one post was explaining the theory behind lift - incorrectly. That same incorrect explanation has been a persistant myth among laypeople and pilots alike for a long time now, and every time I hear it repeated it just raises my pet peeveness of it one more notch. So today we'll set the record straight, and I'll do my best to provide proof for any persistent skeptics out there.

The myth is that lift is produced by the curvature, or camber, of the top surface of a wing. The air being divided by the wing at the leading edge must meet up again at the trailing edge, and because the air has further to go over the top (due to the camber), its velocity increases and pressure decreases. The decrease in pressure causes a pressure differential between the top and bottom of the wing, which sucks the wing upwards, thus creating lift. This decrease in pressure is in reference to Bernoulli's Principle, which states that as the velocity of a fluid increases, its pressure decreases.

I am not disputing the validity of Bernoulli's Principle, because that part is true. The error however comes in the assumption that the pressure differential can create enough lift to counteract the weight of the airplane. If this explanation were true, it immediately raises some questions if one thinks about it:

For one, how does an aerobatic airplane fly upside-down? The quick answer is that aerobatic aircraft are equipped with a symetrical wing, which is a wing with an equal camber (curvature) on both the top and bottom. But that explanation creates yet another problem. How does a symetrical wing fly at all?! According to Bernoulli's Principle, it can't, because due to the symetry of both the top and bottom the air wouldn't create a pressure differential. Similarily, in theory, a flat wing, like what you would find on a balsa wood model, or many fabric wings like on hang-gliders and ultralights, would not be able to produce any lift at all either, but we've all seen balsa models fly.

Another problem we come upon is that our current explanation completely ignores what we know about angle of attack. Every pilot knows that term. Angle of attack is the angle that the wing meets the oncoming air. The illustration above would be a wing at an angle of attack of zero degrees. The myth would seem to indicate that a wing could produce lift at an angle of attack of zero. The myth also seems to say that it would be possible to maintain that zero angle of attack through the entire speed range of an aircraft, since lift is created by the Bernoulli Principle, and not angle of attack. This is at odds with any pilot's observations of how an airplane reacts as it is decelerated. It only takes a single demonstration of slow flight to show that as an airplane slows down, the angle of attack increases, which can be observed by the fact that the nose raises higher and higher into the air to the point of an aerodynamic stall. It is this observation of angle of attack that leads us forward to the true explanation of how a wing creates lift.

The majority of lift is in actual fact produced as a result of the angle of attack, which creates both a deflection force underneath the wing (resulting in higher pressure), and a vacuum effect on top of the wing (lower pressure). The vacuum effect above is not however a result of a wing's camber, it is a result of angle of attack. With a wing at a positive angle of attack, the air flows over the top of the wing and is forced to turn a corner down towards the wing. It is at this corner the low pressure zone develops. Note the illustration below of a flat wing moving through the air at a certain positive angle of attack. You'll have to forgive the pathetic visual, I made it in paint, but it gets the point across. I chose to illustrate a flat wing because its easy to visualize the "corner" that the air has to turn as it passes over the top.


So if all a wing needs is angle of attack to fly, why the heck do they give it a camber?! Well the primary reason is for smooth airflow, at a range of attack angles. A flat wing will stall at a very low angle of attack because it creates a very sharp corner over the top of the wing for the air to have to travel. At some point the air won't be able to make that corner, and will seperate from the wing, producing a turbulent airflow. We know this as a stall. When the top surface of a wing is cambered, it allows the air to make that corner over the top of the wing at much higher angles of attack without seperating and causing a stall. The camber makes for a much smoother corner. This, in effect allows the wing to produce lift at slower speeds, which is generally a good thing. This also explains effectively why airplanes designed to fly slow and carry big loads have a wing with a high camber. Its not because the camber itself produces the lift, but because the camber allows the wing to fly at greater angles of attack without stalling, and the greater the angle of attack, the more lift a wing will produce.

This explanation also neatly answers all of the questions that came up with the popular mythical explanation. Aerobatic airplanes can fly either right-side up or upside-down, regardless of whether they have symetrical wings, because they just have to maintaint a positive angle of attack. Flat wings like balsa gliders and hang-gliders are also explainable. Finally it also fits better in with a piot's observations during slow flight, because as the aircraft decelerates, the angle of attack must increase, which is observable in the form of a raised nose.

While the mythical explanation of lift may not be ENTIRELY false (the Bernoulli Principle), it may contribute to the total lift of an airfoil a little bit, but the effect is negligable for practical purposes. One thing in that explanation that is completely false is the idea that air being split at the leading edge must meet back up at the trailing edge. There's no law anywhere that says air particles have a "memory" to them and must return to the particles they began with. They are carried to wherever the forces acting take them. Wind tunnel tests with time-pulsing coloured smoke actually show that the above air accelerates far past where the lower air ends up at the back, and also are forced downwards. The downward flow is known as downwash (which is also an unexplainable phenominon with our mythical understanding of lift).

So, now you know the rest of the story...

16 comments:

  1. My grade 5, 7, 8, 9, 11, 12 science teachers and physicns profs profs are not gonna like this.

    What's next? "Stop the presses... this just in...gravity a myth...Chad explains why..."

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  2. Its true, its a shocker for people who have always been taught the popular explanation, but I'm certainly not the first person to make the assertion that its false.

    There's plenty of resources out there to back it up.

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  3. This comment has been removed by the author.

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  4. This time hopefully with the HTML correct...

    Unfortunately your explanation contains as many errors and misconceptions as the explanation you criticize.

    For example it is entirely possible to create an airfoil that will generate lift at a zero, or even negative angle of attack. Anyone that understands Bernoulli would know that the magnitude of lift would be proportional to the velocity of the relative wind (and other factors).

    Also since Bernoulli was dead years before any significant development of aviation technology it is unfair to lay modern innumeracy at his feet.

    The over simplification that lift is created because air molecules adjacent when they encounter the airfoil will some how be adjacent when they depart the airfoil is, as you say bogus. That airfoils alter the velocity of fluid streaming past them, and that Bernoulli's equations correctly account for the lift generated by the changes in velocity are well established facts.

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  5. Thank you for your comments.

    I've seen that airfoil simulator before, cute toy, but that's all it is. Its a good illustration to play with in general, but it has some fundamental flaws when you start exploring the numbers it produces. One such thing I noticed was that when I created a near-flat wing with no camber vs a wing with a slightly greater camber, the wing with less camber stalled at higher angle of attack, which is the opposite of what actually happens.

    "Anyone that understands Bernoulli would know that the magnitude of lift would be proportional to the velocity of the relative wind (and other factors)"

    I agree. As I mentioned in the post, the Bernoulli Principle does contribute slightly to the overall lift, so a wing can obviously create lift at a zero angle of attack. Perhaps my wording should have been a wing cannot produce significant lift at a zero angle of attack. At any rate its not the issue. Bernoulli's Principle does not contribute significantly to the sum of lift on the airfoil, so it can't be claimed that the Bernoulli Principle is primarily responsible for making a wing fly. Its angle of attack that is primarily responsible for lift, which is what I was asserting. Even that cute little airfoil simulator indicates that.

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  6. Chad,

    Just take the information from the seat back that describes the next jet you fly. Apply Bernoulli's equations and you will find that you won't get off the ground.

    Also Bernoulli's equations don't apply to turbulent flow such as that over an aircraft wing.

    You didn't take my physics class.

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  7. Hi Chad,

    Some of those fallacies are also discussed here.

    The sad thing is, there are flying instructors who know they're teaching it the wrong way, but who still do it this way because that's the explanation the student is expected to use for the written and oral test.

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  8. Chad:
    "...the Bernoulli Principle does contribute slightly to the overall lift..."

    You are missing the whole point. The Bernoulli principle doesn't contribute to lift at all. It relates, mathematically, the energy of the flow velocity and the energy of the flow pressure. It is the ability of the airfoil to change the flow velocity, by shape selected in the design/construction phase, and by angle of attack selected in the flight, that creates lift. Bernoulli allows us to compute the pressure exerted by the flow as the velocity of the flow changes. The vector sum of the pressures on the wing is lift.

    The link provided by Julien is an excellent one, though I recommend reading the entire site.

    "How does a symetrical wing fly at all?! According to Bernoulli's Principle, it can't, because due to the symetry of both the top and bottom the air wouldn't create a pressure differential." Again here you make the assumption that Bernoulli requires that the airfoil be longer over one surface than the other. Bernoulli makes no such requirement, indeed as I mentioned before Bernoulli does not even address aerodynamic lift specifically, his work was in fluid dynamics.

    The problem arises because people naturally ask the question: "why is the flow velocity higher on one side than the other". The answer to this question is very complex and involves circulation of the fluid around a wing. Again interested persons can read Mr Denker's work on the subject. Faced with this it is natural, though misguided for people to come up with the simplified notion of reuniting air molecules. But to assert that Bernoulli has nothing to inform us about lift production because this misconception exists is equally misguided.

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  9. Greetings. I like your article. This is a nice site and I wanted to post a note to let you know. good job!

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  10. I must be missing something in the above blog/article because I cannot understand how - if the angle of attack is (effectively) the only factor causing lift -a plane can maintain it's height with an angle of attack of 0?

    Would another good proof that Bernoulli's principal is not a considerable factor be the way a plane takes off. If Bernoulli's principal was the main factor causing lift then couldn't a plane could take off without increasing the angle of attack....Also a landing plane on a runway travelling faster than take-off speed would not be possible?!

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  11. With an angle of attack of 0 lift is 0 therefore an airplane cannot maintain its height. What happens when the artificial horizon says level flight is that the angle of attack is still a few degrees above zero because that's the way the wings are bolted onto the airplane.

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  12. Anonymous: As Julien described its important to differentiate between Angle of Attack, Angle of Incidence, and Attitude. AoA the angle between the chord line of the wing and the relative airflow. AoI is the angle between the wing chord line and the longitudinal axis of the aircraft - like Julien said, the angle the wings are bolted onto the airplane. Attitude is the angle between the horizon and the longitudinal axis of the aircraft. Therefore in level flight, your attitude could be level, but due to a slight Angle of Incidence, the wings would be angled upwards slightly giving you a positive AoA.

    Achieving a 0 AoA is essentially impossible. The only way to decrease AoA in level flight is to increase the speed of the relative airflow (airspeed). To achieve a 0 AoA you would have to increase airspeed infinitely.

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  13. I agree with you. I have a background in physics, and I remember specifically one professor of mine shared your pet peeve. He drew a diagram of a wing that would achieve full lift via the Bernoulli effect, and it was cartoonishly thick, approaching the general shape of a sheered off square. Clearly its drag would make it completely impractical.

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  14. The true cause of the lower pressure over the wing is drag as air molecules are pulled away by the air that sweeps over the wing.

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  15. is there any cool games for brenolies princable

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