A paper plane, paper aeroplane (UK), paper airplane (US), paper glider, paper dart or dart is a toy plane made out of paper or paperboard; the practice of constructing paper planes is sometimes referred to as aerogami (Japanese: kamihikōki), after origami, the Japanese art of paper folding. The origin of folded paper gliders is generally considered to be of Ancient China, though there is equal evidence that the refinement and development of folded gliders took place in equal measure in Japan. Certainly, manufacture of paper on a widespread scale took place in China 500 BCE, and origami and paper folding became popular within a century of this period, approximately 460-390 BCE. It is impossible to ascertain where and in what form the first paper aircraft were constructed, or even the first paper plane's form.
For over a thousand years after this, paper aircraft were the dominant man-made heavier-than-air craft whose principles could be readily appreciated, though thanks to their high drag coefficients, not of an exceptional performance when gliding over long distances. The pioneers of powered flight have all studied paper model aircraft in order to design larger machines. Da Vinci wrote of the building of a model plane out of parchment, and of testing some of his early ornithopter, an aircraft that flies by flapping wings,and parachute designs using paper models. Thereafter, Sir George Cayley explored the performance of paper gliders in the late 19th century. Other pioneers, such as Clement Ader, Prof. Charles Langley, and Alberto Santos Dumont often tested ideas with paper as well as balsa models to confirm (in scale) their theories before putting them into practice.
The most significant use of paper models in aircraft designs were by the Wright brothers between 1899 and 1903, the date of the first powered flight from Kitty-Hawk by the Wright Flyer. The Wrights used a wind tunnel to gain knowledge of the forces which could be used to control an aircraft in flight. They built numerous paper models, and tested them within their wind tunnel. By observing the forces produced by flexing the heavy paper models within the wind tunnel, the Wrights determined that control through flight surfaces by warping would be most effective, and in action identical to the later hinged aileron and elevator surfaces used today. Their paper models were very important in the process of moving on to progressively larger models, kites, gliders and ultimately on to the powered Flyer (in conjunction with the development of lightweight petrol engines). In this way, the paper model plane remains a very important key in the graduation from model to manned heavier-than-air flight.
With time, many other designers have improved and developed the paper model, while using it as a fundamentally useful tool in aircraft design. One of the earliest known applied (as in compound structures and many other aerodynamic refinements) modern paper plane was in 1909[citation needed], followed in 1930 by Jack Northrop's (co-founder of Lockheed Corporation) use of paper planes as test models for larger aircraft. In Germany, during the Great Depression, designers at Heinkel and Junkers used paper models in order to establish basic performance and structural forms in important projects, such as the Heinkel 111 and Junkers 88 tactical bomber programmes.
In recent times, paper model aircraft have gained great sophistication, and very high flight performance far removed from their origami origins, yet even origami aircraft have gained many new and exciting designs over the years, and gained much in terms of flight performance.
There have been many design improvements, including velocity, lift, style and fashion, over subsequent years.
Saturday, December 18, 2010
Advanced paper gliders
Developments
Paper gliders have experienced three forms of development in the period 1930–1988:
* High flight performance
* Scale modeling
* Use of CAD software
Ongoing development of folded/origami gliders over the same period has seen similar sophistication, including the addition of the following construction refinements
* Increased fold-count, sometimes of an intricate nature
* Explicit kirigami (cutting of paper) as a component of design
* Requirements for additional ballast to ensure flight performance
Technological introductions
Technology responsible[citation needed] for the proliferation of advanced paper plane construction:
* Inexpensive CAD software for 2D part design
* Widespread manufacture, and inexpensive nature of acetal air-annealed glues, e.g. Bostick Clear-bond.
* Inexpensive Ink-jet, and Laser-jet computer printers, for accurate aircraft part reproduction
* The advent of the Internet, and widespread information sharing
Material considerations
Compared to balsa wood, another material commonly used to fabricate model planes, paper's density is higher; consequentially, conventional origami paper gliders (see above) suffer from higher drag, as well as imperfectly aerodynamic wing chords.
However, unlike balsa gliders, paper gliders have a far higher strength to thickness ratio – a sheet of office-quality 80 g/sq m photocopier/laser printer paper, for example, has approximate in-scale strength of aircraft-grade aluminium sheet metal, while card stock approximates the properties of steel at the scale of paper model aircraft.
Directions in advanced paper aircraft design
Unmodified origami paper aircraft have very poor glide ratios, often not better than 7.5:1 depending on construction and materials. Modification of origami paper gliders can lead to marked improvements in flight performance , at the cost of weight and often with the inclusion of aerodynamic and/or structural compromises. Often, increases in wing loading can encourage breakdown of laminar flow over a wing with a hybrid of origami and glued and taped construction.
Professors Ninomiya and Mathews (see sections below) developed more directed design strategies in the late 1960s and the 1980s. Previously, paper model aircraft had been designed without an emphasis on performance in flight. By using aerodynamic design, and fluid dynamics, both professors were able to design models that exceeded previous flight performance criteria by a very wide margin. Ranges of flight increased from the typical 10+ meters to 85+ meters, depending on energy input into the gliders on launch.
At present, the work of the two professors remains the last serious research work on improving the flight performance of paper model gliders. Collaborative work by enthusiasts through online forums and personal websites are mostly developments of these original glider types.
In the field of scale model design, there are at present many possibilities for advanced design. Profile gliders encounter a limitation for improvement of flight performance based on their wing types, which are typically curved-plate aerofoils. In addition, fuselages are either balsa-paper or paper laminates, prone to warping or breakage over a very short time. Improvement in performance is possible through modelling three-dimensional fuselages which encourage laminar flow, and in internally braced wings which can then have high-lift aerofoil profiles, such as the Clark Y or NACA 4 or 6 series, for high lift at low Reynolds numbers.
White Wings
In Japan in the late 1970s, Professor Yasuaki Ninomiya designed an advanced type of paper aircraft, which are sold as the 'White Wings' Series of paper glider packs.
White Wings are a stark departure from conventional paper aircraft, in that their fuselages and wings are paper templates cut and glued together. They were designed with the aid of low-speed aerodynamics. The early models were explicitly hand drawn, but by the 1980s these had their parts drafted with the use of CAD software.
Prof. Ninomiya's designs also included, for the first time in any paper model, working propellers driven by airflow, in particular for his profile scale models of the Cessna Skymaster and Piaggio P.136 of 1967. Noteworthy as well was the careful design of gliders so that they could fly without ballast – his F-4 Phantom II model is able to be flown immediately without recourse to paperclips etc.
The high performance gliders have fuselages that are kept rigid by the use of a balsa fuselage profile bonded to the paper components. The paper used is quite heavy, approximately twice the weight of standard drawing cartridge paper, but lighter than lightweight cardboard. Original White Wings were entirely paper, requiring patience and skill. Later however, balsa-wood fuselages were used, and White Wings were sold "pre-cut", making construction easier. The aerofoil used is a Göttingen 801 (curved plate), and a pattern is supplied as a cutout part of each kit.
Paper Pilot
Professor E.H. Mathews and the University of the Witwatersrand, in South Africa, developed a more mature form of the White Wings gliders for sale to South African children and teenagers in the 1980s. His gliders are designed using aerodynamic principles in the style of the White Wings series, they differ in construction, being of all-paper rather than paper-balsa laminate fuselage. The first book of gliders was entitled 'Paper Pilot', and was published by Struik in 1987. The Paper Pilot gliders are a watershed in paper model aircraft – they are the first commercial paper models to have been designed completely on a CAD system, and the first to be tested exhaustively in a wind tunnel.
The performance of the Paper Pilot gliders is almost equivalent to that of the Ninomiya gliders – but one of the first designs, a profile model of the SAAF C-160Z Transall, has a gliding distance of greater than the length of a rugby pitch.
The early gliders were designed to incorporate a catapult hook shaped from a paper clip. Later designs (and upgraded early designs) incorporated the addition of a bungee hook, permitting extremely long distance flights.
A remarkable characteristic of the Paper Pilot gliders is their ability to be flight trimmed – to the point of being able to fly straight in confined spaces, which few modern paper gliders can do.
E.H. Mathews designs then developed in 12 Planes for the Paper Pilot (Struik, 1994) into aircraft with three dimensional fuselages – models included the J-3 Piper Cub, Beech Stagger-Wing Biplane, Lockheed U-2 and Britten-Norman Trislander (a subject of a high performance flat glider earier in the series).
E.H. Mathews authored a commemorative model of the SAAF Junkers Ju-52/3m 'Johan van Riebeek' in 1999, and an as-yet unreleased model of the Airbus A-320 airliner in South African Airways colours, seen on the SABC youth TV program 'Tekkies' in 1998, as a prototype.
The most astonishing glider developed by Prof. Mathews was the Papercopter – a free-flight paper model helicopter, with a rotationally stabilised ring-wing as the flight dynamic element. Three variants were developed – the standard Papercopter of 1991, the Airwolf (1993) and the Stealth helicopter.
Paper helicopters (autogyros)
The world's first known published paper autogyro (engineless helicopter) by Richard K Neu appeared in "The Great International Paper Airplane Book" published in 1967. Its wings fly in a circle around a central ballast shaft as it descends vertically. This basic design has been published several times and is widely known.
The world's first known published forward gliding paper autogyro with forward pointing body lifted by spinning blades was built by James Zongker. It appears on page 53 of "The Paper Airplane Book: The Official Book of the Second Great International Paper Airplane Contest" published in 1985 by Science Magazine. Its twin contra-rotating blades automatically spin on paper axles upon launch to provide lift.
As noted above (see entry, Paper Pilot), E.H. Mathews developed a flight stable paper model helicopter. This has a ring wing, and flaps for adjusting for flight for stability, positioned on the inboard edge of the ring. While not an autogyro per sê, this paper model aircraft class falls within the general design of a paper model helicopter, and does possess a rotational flight element producing lift during forward flight. Papercopters, as Professor Mathews labeled them, are unique among paper model rotorcraft in having a range and velocity far in excess of all other classes, able to fly quite quickly, and with a range of between 10–15 m. The longest flight time is 27.6 seconds[citation needed].
World records
NASA launches the world's largest paper plane (at that time) – wingspan 30 ft, 6 in 1992.
There are multiple goals for a flight:
* Distance (javelin throwing).
* Time (javelin throwing straight up with subsequent metamorphosis into a sailplane).
* Aerobatic (looping).
* Stable flight to understand flight mechanics of a good plane.
For every goal there is a typical plane and sometimes a world record.[1]
There have been many attempts over the years to break the barriers of throwing a paper plane for the longest time aloft. Ken Blackburn held this Guinness World Record for 13 years (1983–1996) and had regained the record on October 1998 by keeping his paper plane aloft for 27.6 seconds (indoors). This was confirmed by Guinness officials and a CNN report.[2] The paper plane that Blackburn used in this record breaking attempt was a "glider".
Takuo Toda, who is an engineer and president of the Japan Origami Aeroplane Association,[3] set a new record for longest paper plane flight at a competition in Hiroshima Prefecture in April 2009.[4] His record flight topped Blackburn's by 0.3 seconds. He folded his plane, measuring approximately 10 cm in length, from a single sheet of paper, though his plane in this attempt included cellophane tape.[3]
In December 2009, Toda achieved a 27.1 second record for a plane (10 cm in length) made with nothing but one sheet of paper, no scissors or glue or tape. The record was set in a Japan Air Lines hangar at Tokyo's Haneda airport. Toda's goal is to break the 30-second mark.[3]
Paper gliders have experienced three forms of development in the period 1930–1988:
* High flight performance
* Scale modeling
* Use of CAD software
Ongoing development of folded/origami gliders over the same period has seen similar sophistication, including the addition of the following construction refinements
* Increased fold-count, sometimes of an intricate nature
* Explicit kirigami (cutting of paper) as a component of design
* Requirements for additional ballast to ensure flight performance
Technological introductions
Technology responsible[citation needed] for the proliferation of advanced paper plane construction:
* Inexpensive CAD software for 2D part design
* Widespread manufacture, and inexpensive nature of acetal air-annealed glues, e.g. Bostick Clear-bond.
* Inexpensive Ink-jet, and Laser-jet computer printers, for accurate aircraft part reproduction
* The advent of the Internet, and widespread information sharing
Material considerations
Compared to balsa wood, another material commonly used to fabricate model planes, paper's density is higher; consequentially, conventional origami paper gliders (see above) suffer from higher drag, as well as imperfectly aerodynamic wing chords.
However, unlike balsa gliders, paper gliders have a far higher strength to thickness ratio – a sheet of office-quality 80 g/sq m photocopier/laser printer paper, for example, has approximate in-scale strength of aircraft-grade aluminium sheet metal, while card stock approximates the properties of steel at the scale of paper model aircraft.
Directions in advanced paper aircraft design
Unmodified origami paper aircraft have very poor glide ratios, often not better than 7.5:1 depending on construction and materials. Modification of origami paper gliders can lead to marked improvements in flight performance , at the cost of weight and often with the inclusion of aerodynamic and/or structural compromises. Often, increases in wing loading can encourage breakdown of laminar flow over a wing with a hybrid of origami and glued and taped construction.
Professors Ninomiya and Mathews (see sections below) developed more directed design strategies in the late 1960s and the 1980s. Previously, paper model aircraft had been designed without an emphasis on performance in flight. By using aerodynamic design, and fluid dynamics, both professors were able to design models that exceeded previous flight performance criteria by a very wide margin. Ranges of flight increased from the typical 10+ meters to 85+ meters, depending on energy input into the gliders on launch.
At present, the work of the two professors remains the last serious research work on improving the flight performance of paper model gliders. Collaborative work by enthusiasts through online forums and personal websites are mostly developments of these original glider types.
In the field of scale model design, there are at present many possibilities for advanced design. Profile gliders encounter a limitation for improvement of flight performance based on their wing types, which are typically curved-plate aerofoils. In addition, fuselages are either balsa-paper or paper laminates, prone to warping or breakage over a very short time. Improvement in performance is possible through modelling three-dimensional fuselages which encourage laminar flow, and in internally braced wings which can then have high-lift aerofoil profiles, such as the Clark Y or NACA 4 or 6 series, for high lift at low Reynolds numbers.
White Wings
In Japan in the late 1970s, Professor Yasuaki Ninomiya designed an advanced type of paper aircraft, which are sold as the 'White Wings' Series of paper glider packs.
White Wings are a stark departure from conventional paper aircraft, in that their fuselages and wings are paper templates cut and glued together. They were designed with the aid of low-speed aerodynamics. The early models were explicitly hand drawn, but by the 1980s these had their parts drafted with the use of CAD software.
Prof. Ninomiya's designs also included, for the first time in any paper model, working propellers driven by airflow, in particular for his profile scale models of the Cessna Skymaster and Piaggio P.136 of 1967. Noteworthy as well was the careful design of gliders so that they could fly without ballast – his F-4 Phantom II model is able to be flown immediately without recourse to paperclips etc.
The high performance gliders have fuselages that are kept rigid by the use of a balsa fuselage profile bonded to the paper components. The paper used is quite heavy, approximately twice the weight of standard drawing cartridge paper, but lighter than lightweight cardboard. Original White Wings were entirely paper, requiring patience and skill. Later however, balsa-wood fuselages were used, and White Wings were sold "pre-cut", making construction easier. The aerofoil used is a Göttingen 801 (curved plate), and a pattern is supplied as a cutout part of each kit.
Paper Pilot
Professor E.H. Mathews and the University of the Witwatersrand, in South Africa, developed a more mature form of the White Wings gliders for sale to South African children and teenagers in the 1980s. His gliders are designed using aerodynamic principles in the style of the White Wings series, they differ in construction, being of all-paper rather than paper-balsa laminate fuselage. The first book of gliders was entitled 'Paper Pilot', and was published by Struik in 1987. The Paper Pilot gliders are a watershed in paper model aircraft – they are the first commercial paper models to have been designed completely on a CAD system, and the first to be tested exhaustively in a wind tunnel.
The performance of the Paper Pilot gliders is almost equivalent to that of the Ninomiya gliders – but one of the first designs, a profile model of the SAAF C-160Z Transall, has a gliding distance of greater than the length of a rugby pitch.
The early gliders were designed to incorporate a catapult hook shaped from a paper clip. Later designs (and upgraded early designs) incorporated the addition of a bungee hook, permitting extremely long distance flights.
A remarkable characteristic of the Paper Pilot gliders is their ability to be flight trimmed – to the point of being able to fly straight in confined spaces, which few modern paper gliders can do.
E.H. Mathews designs then developed in 12 Planes for the Paper Pilot (Struik, 1994) into aircraft with three dimensional fuselages – models included the J-3 Piper Cub, Beech Stagger-Wing Biplane, Lockheed U-2 and Britten-Norman Trislander (a subject of a high performance flat glider earier in the series).
E.H. Mathews authored a commemorative model of the SAAF Junkers Ju-52/3m 'Johan van Riebeek' in 1999, and an as-yet unreleased model of the Airbus A-320 airliner in South African Airways colours, seen on the SABC youth TV program 'Tekkies' in 1998, as a prototype.
The most astonishing glider developed by Prof. Mathews was the Papercopter – a free-flight paper model helicopter, with a rotationally stabilised ring-wing as the flight dynamic element. Three variants were developed – the standard Papercopter of 1991, the Airwolf (1993) and the Stealth helicopter.
Paper helicopters (autogyros)
The world's first known published paper autogyro (engineless helicopter) by Richard K Neu appeared in "The Great International Paper Airplane Book" published in 1967. Its wings fly in a circle around a central ballast shaft as it descends vertically. This basic design has been published several times and is widely known.
The world's first known published forward gliding paper autogyro with forward pointing body lifted by spinning blades was built by James Zongker. It appears on page 53 of "The Paper Airplane Book: The Official Book of the Second Great International Paper Airplane Contest" published in 1985 by Science Magazine. Its twin contra-rotating blades automatically spin on paper axles upon launch to provide lift.
As noted above (see entry, Paper Pilot), E.H. Mathews developed a flight stable paper model helicopter. This has a ring wing, and flaps for adjusting for flight for stability, positioned on the inboard edge of the ring. While not an autogyro per sê, this paper model aircraft class falls within the general design of a paper model helicopter, and does possess a rotational flight element producing lift during forward flight. Papercopters, as Professor Mathews labeled them, are unique among paper model rotorcraft in having a range and velocity far in excess of all other classes, able to fly quite quickly, and with a range of between 10–15 m. The longest flight time is 27.6 seconds[citation needed].
World records
NASA launches the world's largest paper plane (at that time) – wingspan 30 ft, 6 in 1992.
There are multiple goals for a flight:
* Distance (javelin throwing).
* Time (javelin throwing straight up with subsequent metamorphosis into a sailplane).
* Aerobatic (looping).
* Stable flight to understand flight mechanics of a good plane.
For every goal there is a typical plane and sometimes a world record.[1]
There have been many attempts over the years to break the barriers of throwing a paper plane for the longest time aloft. Ken Blackburn held this Guinness World Record for 13 years (1983–1996) and had regained the record on October 1998 by keeping his paper plane aloft for 27.6 seconds (indoors). This was confirmed by Guinness officials and a CNN report.[2] The paper plane that Blackburn used in this record breaking attempt was a "glider".
Takuo Toda, who is an engineer and president of the Japan Origami Aeroplane Association,[3] set a new record for longest paper plane flight at a competition in Hiroshima Prefecture in April 2009.[4] His record flight topped Blackburn's by 0.3 seconds. He folded his plane, measuring approximately 10 cm in length, from a single sheet of paper, though his plane in this attempt included cellophane tape.[3]
In December 2009, Toda achieved a 27.1 second record for a plane (10 cm in length) made with nothing but one sheet of paper, no scissors or glue or tape. The record was set in a Japan Air Lines hangar at Tokyo's Haneda airport. Toda's goal is to break the 30-second mark.[3]
Aerodynamics
General aerodynamics
Paper aircraft are a class of model plane, and so do not experience aerodynamic forces differently from other types of flying model. However, their construction material produces a number of dissimilar effects on flight performance in comparison with aircraft built from different materials.
Critical Re
The Reynolds number range of the paper model aircraft is reasonably wide:
* 2,000–12,000 for Origami aircraft
* 4,000–16,900 for Compound Origami (involving adhesives and aerodynamic refinements)
* 9,000–39,000 for Profile Performance (White Wings, Paper Pilot, et al.)
* 19,200–56,000 for Scale Performance (White Wings, Paper Pilot, et al.)
* 22,000–93,000 for Scale Models (complex structures)
These ranges are indicative. As noted above the mass:density ratio of paper prevents performance from reaching those of Balsa models in terms of expressions of power to weight, but for models with wingspans of between 250 mm and 1,200 mm, the Critical Re is very similar to balsa model gliders of similar dimensions.
Paper models typically have a wing aspect ratio that is very high (model sailplanes) or very low (the classic paper dart), and therefore are in almost all cases flying at velocities far below their wing planform and aerofoil Critical Re, where flow would break down from laminar to turbulent.
Most origami paper darts tend to be flying within turbulent air in any case, and as such, are important to research into turbulent flow as are low-Re lifting surfaces found in nature such as leaves of trees and plants as well as the wings of insects.
High performance profile and scale models do approach their wing section's critical Re in flight, which is a noteworthy achievement in terms of paper model design. Performance is derived of the fact that wings of these gliders are in fact performing as well as it is possible for them to perform, given their material limitations.
Experiments in different material finishes in recent years have revealed some interesting relationships in Re and paper models. Performance of origami and compound origami structures improves markedly with the introduction of smooth paper, though this is also aided by the paper's higher mass and consequently better penetration.
More marginal performance and scale types generally do not benefit from heavier, shinier surfaces. Performance profile-fuselage types do experience somewhat improved performance if shiny, slippery paper is used in construction, but although there is a velocity improvement, this is offset very often by a poorer l/d ratio. Scale types have experience negative performance at the addition of heavy shiny papers in their construction.
Aerofoils
Wing profile sections in models vary, depending on type:
* Origami : Göttingen flat-plate, or Jedelsky-form for folded leading edges.
* Compound Origami : Identical with origami, though often with sealed edges – 45% improvement in Cd.
* Profile Performance: Göttingen curved-plate, with profile similar to Göttingen 801.
* Scale Performance: Göttingen 801 or any other wing aerofoil
* Scale Models: This varies on model type (see below)
Camber of profiles varies, too. In general, the lower the Re, the greater the camber. Origami types will have 'ludicrous' or very high cambers in comparison with more marginally performing scale types, whose escalating masses demand higher flying speeds and so lower induced drag from high camber, though this will vary depending on type being modelled.
In the case of scale performance and scale models, the modellers intent will define the type of aerofoil section chosen. WWI biplanes, if designed for flight performance, will often have curved-plate aerofoils, as these produce a highly cambered surfaces and Coefficient of Lift (Cl) for low gliding airspeeds. WWII monoplanes will often have very scale-like sections, though with increased trailing edge droop to improve camber in comparison with scale counterparts.
Similarly, size, airspeed and mass will have very big impacts on choice of aerofoil, though this is a universal consideration in model plane design, no matter the material.
Origami Flying Wings
The former Guinness world record holder Tim Richardson disagrees with the decision to put a 'tail' on the paper plane. His explanation of paper plane aerodynamics on his website mentions that the tail is not needed. He uses the real-life B-2 Spirit flying wing bomber as an example, stating that the weights along the wing should be put forward in order to stabilize the plane. (Note: paper planes do not need a tail primarily because they typically have a large, thin fuselage, which acts to prevent yaw, and wings along the entire length, which prevents pitch.)
Independently, Edmond Hui invented a Stealth Bomber-like paper plane called the Paperang in 1977,[5] based on hang glider aerodynamics. Uniquely, it has properly controlled airfoil sections, high aspect ratio wings, and a construction method designed to allow the builder to vary every aspect of its shape. It was the subject of a book, "Amazing Paper Airplanes" in 1987, and a number of newspaper articles in 1992. It is ineligible for most paper plane competitions due to the use of a staple, but it has extremely high gliding performance exceeding glide ratios of 12 to 1 with good stability.
In 1975, origami artist Michael LaFosse designed a pure origami (one sheet; no cutting, glue or staples...) flying wing, which he named the "Art Deco Wing".
Art Deco wing.jpg
Though its aerodynamic form mimics some hang glider and supersonic airfoils, its invention evolved from exploring the beauty of folded paper first. Its glide ratio and stability are on a par with many of the best paper wing constructions that use glue, tape or staples. This design was first published in 1984 in the book "Wings and Things", by Stephen Weiss, St. Martin's Press.
Although it is a common view that light paper planes go farther than heavy ones, this is considered to be untrue by Blackburn. Blackburn's record-breaking 20-year-old paper plane[6] was based on his belief that the best planes had short wings and are "heavy" at the point of the launch phase in which the thrower throws the paper plane into the air, and at the same time longer wings and a "lighter" weight would allow the paper plane to have better flight times but this cannot be thrown hard with much pressure into the air as a "heavy" weighted launch phase. According to Blackburn, "For maximum height and for a good transition to gliding flight, the throw must be within 10 degrees of vertical" — which shows that a speed of at least 60 miles per hour (about 100 kilometers per hour) is the amount needed to throw the paper plane successfully.
After the folding there are still gaps between different layers of folded paper (tearoff edge). These and the kinks transversal to the airflow may have a detrimental effect on aerodynamics, especially on the upper side of the wing. In some models the surfaces are not aligned to the direction of flow acting as airbrakes. Typically the center of mass is at 1/81 and the center of area is at 1/2 of the plane lengths. Two methods exist to shift the center of mass to the front. One rolls up the leading edge which then stays unswept. The other uses a swept wing or axial folding to produce something like a fuselage extending out of leading edge of the wing.
Paper aircraft are a class of model plane, and so do not experience aerodynamic forces differently from other types of flying model. However, their construction material produces a number of dissimilar effects on flight performance in comparison with aircraft built from different materials.
Critical Re
The Reynolds number range of the paper model aircraft is reasonably wide:
* 2,000–12,000 for Origami aircraft
* 4,000–16,900 for Compound Origami (involving adhesives and aerodynamic refinements)
* 9,000–39,000 for Profile Performance (White Wings, Paper Pilot, et al.)
* 19,200–56,000 for Scale Performance (White Wings, Paper Pilot, et al.)
* 22,000–93,000 for Scale Models (complex structures)
These ranges are indicative. As noted above the mass:density ratio of paper prevents performance from reaching those of Balsa models in terms of expressions of power to weight, but for models with wingspans of between 250 mm and 1,200 mm, the Critical Re is very similar to balsa model gliders of similar dimensions.
Paper models typically have a wing aspect ratio that is very high (model sailplanes) or very low (the classic paper dart), and therefore are in almost all cases flying at velocities far below their wing planform and aerofoil Critical Re, where flow would break down from laminar to turbulent.
Most origami paper darts tend to be flying within turbulent air in any case, and as such, are important to research into turbulent flow as are low-Re lifting surfaces found in nature such as leaves of trees and plants as well as the wings of insects.
High performance profile and scale models do approach their wing section's critical Re in flight, which is a noteworthy achievement in terms of paper model design. Performance is derived of the fact that wings of these gliders are in fact performing as well as it is possible for them to perform, given their material limitations.
Experiments in different material finishes in recent years have revealed some interesting relationships in Re and paper models. Performance of origami and compound origami structures improves markedly with the introduction of smooth paper, though this is also aided by the paper's higher mass and consequently better penetration.
More marginal performance and scale types generally do not benefit from heavier, shinier surfaces. Performance profile-fuselage types do experience somewhat improved performance if shiny, slippery paper is used in construction, but although there is a velocity improvement, this is offset very often by a poorer l/d ratio. Scale types have experience negative performance at the addition of heavy shiny papers in their construction.
Aerofoils
Wing profile sections in models vary, depending on type:
* Origami : Göttingen flat-plate, or Jedelsky-form for folded leading edges.
* Compound Origami : Identical with origami, though often with sealed edges – 45% improvement in Cd.
* Profile Performance: Göttingen curved-plate, with profile similar to Göttingen 801.
* Scale Performance: Göttingen 801 or any other wing aerofoil
* Scale Models: This varies on model type (see below)
Camber of profiles varies, too. In general, the lower the Re, the greater the camber. Origami types will have 'ludicrous' or very high cambers in comparison with more marginally performing scale types, whose escalating masses demand higher flying speeds and so lower induced drag from high camber, though this will vary depending on type being modelled.
In the case of scale performance and scale models, the modellers intent will define the type of aerofoil section chosen. WWI biplanes, if designed for flight performance, will often have curved-plate aerofoils, as these produce a highly cambered surfaces and Coefficient of Lift (Cl) for low gliding airspeeds. WWII monoplanes will often have very scale-like sections, though with increased trailing edge droop to improve camber in comparison with scale counterparts.
Similarly, size, airspeed and mass will have very big impacts on choice of aerofoil, though this is a universal consideration in model plane design, no matter the material.
Origami Flying Wings
The former Guinness world record holder Tim Richardson disagrees with the decision to put a 'tail' on the paper plane. His explanation of paper plane aerodynamics on his website mentions that the tail is not needed. He uses the real-life B-2 Spirit flying wing bomber as an example, stating that the weights along the wing should be put forward in order to stabilize the plane. (Note: paper planes do not need a tail primarily because they typically have a large, thin fuselage, which acts to prevent yaw, and wings along the entire length, which prevents pitch.)
Independently, Edmond Hui invented a Stealth Bomber-like paper plane called the Paperang in 1977,[5] based on hang glider aerodynamics. Uniquely, it has properly controlled airfoil sections, high aspect ratio wings, and a construction method designed to allow the builder to vary every aspect of its shape. It was the subject of a book, "Amazing Paper Airplanes" in 1987, and a number of newspaper articles in 1992. It is ineligible for most paper plane competitions due to the use of a staple, but it has extremely high gliding performance exceeding glide ratios of 12 to 1 with good stability.
In 1975, origami artist Michael LaFosse designed a pure origami (one sheet; no cutting, glue or staples...) flying wing, which he named the "Art Deco Wing".
Art Deco wing.jpg
Though its aerodynamic form mimics some hang glider and supersonic airfoils, its invention evolved from exploring the beauty of folded paper first. Its glide ratio and stability are on a par with many of the best paper wing constructions that use glue, tape or staples. This design was first published in 1984 in the book "Wings and Things", by Stephen Weiss, St. Martin's Press.
Although it is a common view that light paper planes go farther than heavy ones, this is considered to be untrue by Blackburn. Blackburn's record-breaking 20-year-old paper plane[6] was based on his belief that the best planes had short wings and are "heavy" at the point of the launch phase in which the thrower throws the paper plane into the air, and at the same time longer wings and a "lighter" weight would allow the paper plane to have better flight times but this cannot be thrown hard with much pressure into the air as a "heavy" weighted launch phase. According to Blackburn, "For maximum height and for a good transition to gliding flight, the throw must be within 10 degrees of vertical" — which shows that a speed of at least 60 miles per hour (about 100 kilometers per hour) is the amount needed to throw the paper plane successfully.
After the folding there are still gaps between different layers of folded paper (tearoff edge). These and the kinks transversal to the airflow may have a detrimental effect on aerodynamics, especially on the upper side of the wing. In some models the surfaces are not aligned to the direction of flow acting as airbrakes. Typically the center of mass is at 1/81 and the center of area is at 1/2 of the plane lengths. Two methods exist to shift the center of mass to the front. One rolls up the leading edge which then stays unswept. The other uses a swept wing or axial folding to produce something like a fuselage extending out of leading edge of the wing.
School Problems
Children often make paper planes and throw them in class, when they are not supposed to. This has caused many teachers to not allow their students to make paper planes. Studies have shown that children who make paper planes in class are usually bored or have ADHD or another hyperactivity disorder.
Space flight
There may one day be a paper plane launched from space. A prototype passed a durability test in a wind tunnel in March 2008, and Japan's space agency JAXA considered a launch from the International Space Station. However, the plane developers, Taduo Toda (see World Records above) and fellow enthusiast Shinji Suzuki, an aeronautical engineer and professor at Tokyo University, postponed the attempt after acknowledging it would be all but impossible to track them during the planes' week-long journey to Earth, assuming any of them survived the searing descent. The developers continue, in 2009, with hopes that China or Russia will back further efforts on the project.[3]
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