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I know that winglets and swept wings are ways to reduce the vortex that are currently in use on many aircraft. Are there any aircraft design concepts out there that completely eliminate the vortex effect?

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  • $\begingroup$ How about a GEV? $\endgroup$ Commented Sep 23, 2015 at 21:30
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    $\begingroup$ I had a comment on your other deleted question. Just posting it here. You could be interested in reading a gliding handbook. The FAA has very good manuals for learning aviation, e.g. PHAK, it provides a complete background for aeronautical topics. Also and this one. $\endgroup$
    – mins
    Commented Sep 23, 2015 at 21:35
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    $\begingroup$ @SteliosAdamantidis A ground effect vehicle would still produce wingtip vortices, they would just dissipate very quickly as they hit the ground (long before they could become problematic to something behind the ground effect vehicle). $\endgroup$
    – voretaq7
    Commented Sep 23, 2015 at 21:44

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Wingtip vortices are an unavoidable side effect of producing lift with an airfoil of finite length (thus having "wingtips"). The wing is designed first to have relatively high pressure underneath the wing and lower pressure above it. Second, air passing over the top of the airfoil is directed downwards as it leaves the wing (thus "pulling" the wing upwards by Newton's Third Law). These two characteristics of an airfoil combine to make air around the wingtip want to "spin"; high-pressure air below the wing will "leak" upwards over the wingtip, then be directed back downwards along with the rest of the air, creating the wingtip vortex:

enter image description here

Reducing the pressure differential between air above and below the wing will by definition reduce lift, because it is this pressure differential producing lift. By the same token, reducing the "downwash" off the back of the wing will reduce lift because the force creating the downwash is also lifting the wing. Therefore, conventional wings will produce wingtip vortices by definition.

Theoretical ways to reduce this vortex include:

  • Make it harder for air to "leak" upward over the wingtip. This is the principle behind the "winglets" you see on many airliners; they prevent air iunderneath the wing being able to move over the top of it, thus reducing the severity of the rotation of the vortex (which reduces drag, which saves the airlines fuel):

    enter image description here

    Even small aircraft, like this PiperSport light sport, often have little blended winglets to reduce vortex drag, saving as much available power as possible from the limited-horsepower engines of this class:

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    The A-10's wingtip has a similar idea implemented the opposite way; a slight downward curve to the wingtip holds the "cushion" of higher-pressure air under the wing, reducing the amount of leakage around the wingtip, which lowers the wing's stall speed and also reduces tip vortices:

    enter image description here

  • Don't have a wingtip. "Nonplanar" wing designs, including ring wings, reduce (but do not eliminate) vortex drag compared to conventional wing planforms simply by not providing a single border between lifting and nonlifting surfaces:

    enter image description here

    This is a concept drawing, but the idea of a tipless closed-loop wing has been incorporated into production small planes, like this Belarussian small single:

    enter image description here

    Vortex drag is not totally eliminated because there is still a downwash behind the wings relative to the undisturbed air to either side of the plane, but the intensity of the vortex (and thus the energy lost producing it which counts as drag) is reduced considerably.

  • Reduce the pressure differential at the wingtip. This is a major way that swept, delta and double-delta wing planforms reduce tip vortices. Very simply, most modern wings on high-speed or high-performance jets have a smaller chord length and a thinner cross-section at the wingtip than the wing root. This provides less lift at the wingtip (and the wingtip stalls more easily and thus tends to stall first) than a straight wing with a relatively constant cross-section, but the reduction in pressure differential and downwash right at the wingtip reduces the two primary contributors to wingtip vortices:

    enter image description here

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  • $\begingroup$ Couldn't you reduce all lift at the wingtip. $\endgroup$
    – Ethan
    Commented Sep 23, 2015 at 22:26
  • $\begingroup$ You could, that's basically what blended winglets do. But, there's a balancing act, increasing surface area increases drag, and a flat wingtip is pure drag, no lift. $\endgroup$
    – KeithS
    Commented Sep 24, 2015 at 1:21
  • $\begingroup$ @Ethan, the air used to produce lift is accelerated downwards (principle of action and reaction a.k.a. Newton's 3rd law) and the air not used to produce lift is not and that is the vortex. All you can do is prevent high speed core at the tip by making the transition from making lift to not smooth. $\endgroup$
    – Jan Hudec
    Commented Sep 24, 2015 at 11:48
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    $\begingroup$ @Ethan, unless you have found a way to avoid 3rd law of motion, sorry, no, they won't work. And since principle of action and reaction follows directly from conservation of momentum and conservation of momentum from elementary symmetry of space, I really doubt you did. $\endgroup$
    – Jan Hudec
    Commented Sep 24, 2015 at 11:54
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    $\begingroup$ Forget the tips, they have nothing to do with it. The air behind the wing must be moving downward, because it acted on the wing with upward force, so the wing acted on it with downward force and that accelerated the air; and since there is nothing else to cancel the acceleration, the air will, necessarily be moving. And the air outside the wingspan won't. So we have two streams that move relative to each other and that is a vortex. Its vortex line flows from the wingtip, so its called a wingtip vortex. But the cause is not the tip, the cause is the lift and laws of motion. $\endgroup$
    – Jan Hudec
    Commented Sep 24, 2015 at 12:18
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Wingtip vortices are unavoidable in a three dimensional lift producing wing. The vortices are a result of the pressure difference that causes the lift. The only ways to eliminate the vortices are,

  • Make the wing two dimensional- i.e. make its span infinite, like an airfoil.
  • Don't produce lift.

Unfortunately, neither of these help us much.

Some points to note are:

  • Winglets and other wingtip devices reduce the intensity of the vortices, not eliminate them.
  • 'Closing' the wing or wing tip does not eliminate the trailing vortex wake or induced drag. From aero.stanford.edu:

Wings that form closed loops ... do not eliminate the "tip vortices" or trailing vortex wakes even though the wing has no tips.

The figure below shows the CFD simulation of wings with different wingtip devices.

Vortex

Image from Aerodynamic Efficiency Study of Modern Spiroid Winglets, by Tung Wan Hung-Chu Chou Kuei-Wen Lien, Figure numbers removed for proper fit.

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  • $\begingroup$ I wouldn't say unavoidable I have a theory about how to eliminate the vortex, but haven't tested it out yet. $\endgroup$
    – Ethan
    Commented Sep 23, 2015 at 23:44
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    $\begingroup$ @Ethan, unavoidable. Totally. Read also the answers to the duplicate question. $\endgroup$
    – Jan Hudec
    Commented Sep 24, 2015 at 11:51

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