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Ground effect (aerodynamics)

For fixed-wing aircraft, ground effect is the reduced aerodynamic drag that an aircraft's wings generate when they are close to a fixed surface.[1] During takeoff, ground effect can cause the aircraft to "float" while below the recommended climb speed. The pilot can then fly just above the runway while the aircraft accelerates in ground effect until a safe climb speed is reached.[2]

For rotorcraft, ground effect results in less drag on the rotor during hovering close to the ground. At high weights this sometimes allows the rotorcraft to lift off while stationary in ground effect but does not allow it to transition to flight out of ground effect. Helicopter pilots are provided with performance charts which show the limitations for hovering their helicopter in ground effect (IGE) and out of ground effect (OGE). The charts show the added lift benefit produced by ground effect.[3]

For fan- and jet-powered vertical take-off and landing (VTOL) aircraft, ground effect when hovering can cause suckdown and fountain lift on the airframe and loss in hovering thrust if the engine sucks in its own exhaust gas, which is known as hot gas ingestion (HGI).[4][5]

Explanations edit

Fixed-wing aircraft edit

When an aircraft flies at or below approximately half the length of the aircraft's wingspan above the ground or water there occurs an often-noticeable ground effect. The result is lower induced drag on the aircraft. This is caused primarily by the ground or water obstructing the creation of wingtip vortices and interrupting downwash behind the wing.[6][7]

A wing generates lift by deflecting the oncoming airmass (relative wind) downward.[8] The deflected or "turned" flow of air creates a resultant force on the wing in the opposite direction (Newton's 3rd law). The resultant force is identified as lift. Flying close to a surface increases air pressure on the lower wing surface, nicknamed the "ram" or "cushion" effect, and thereby improves the aircraft lift-to-drag ratio. The lower/nearer the wing is to the ground, the more pronounced the ground effect becomes. While in the ground effect, the wing requires a lower angle of attack to produce the same amount of lift. In wind tunnel tests, in which the angle of attack and airspeed remain constant, an increase in the lift coefficient ensues,[9] which accounts for the "floating" effect. Ground effect also alters thrust versus velocity, where reduced induced drag requires less thrust in order to maintain the same velocity.[9]

Low winged aircraft are more affected by ground effect than high wing aircraft.[10] Due to the change in up-wash, down-wash, and wingtip vortices, there may be errors in the airspeed system while in ground effect due to changes in the local pressure at the static source.[9]

Rotorcraft edit

When a hovering rotor is near the ground the downward flow of air through the rotor is reduced to zero at the ground. This condition is transferred up to the disc through pressure changes in the wake which decreases the inflow to the rotor for a given disc loading, which is rotor thrust for each square foot of its area. This gives a thrust increase for a particular blade pitch angle, or, alternatively, the power required for a thrust is reduced. For an overloaded helicopter that can only hover IGE it may be possible to climb away from the ground by translating to forward flight first while in ground effect.[11] The ground-effect benefit disappears rapidly with speed but the induced power decreases rapidly as well to allow a safe climb.[12] Some early underpowered helicopters could only hover close to the ground.[13] Ground effect is at its maximum over a firm, smooth surface.[14]

VTOL aircraft edit

There are two effects inherent to VTOL aircraft operating at zero and low speeds in ground effect, suckdown and fountain lift. A third, hot gas ingestion, may also apply to fixed-wing aircraft on the ground in windy conditions or during thrust reverser operation. How well, in terms of weight lifted, a VTOL aircraft hovers IGE depends on suckdown on the air frame, fountain impingement on the underside of the fuselage and HGI into the engine causing inlet temperature rise (ITR). Suckdown works against the engine lift as a downward force on the airframe. Fountain flow works with the engine lift jets as an upwards force. The severity of the HGI problem becomes clear when the level of ITR is converted into engine thrust loss, three to four percent per 10 °F inlet temperature rise.[15][16]

Suckdown is the result of entrainment of air around aircraft by lift jets when hovering. It also occurs in free air (OGE) causing loss of lift by reducing pressures on the underside of the fuselage and wings. Enhanced entrainment occurs when close to the ground giving higher lift loss. Fountain lift occurs when an aircraft has two or more lift jets. The jets strike the ground and spread out. Where they meet under the fuselage they mix and can only move upwards striking the underside of the fuselage. [17] How well their upward momentum is diverted sideways or downward determines the lift. Fountain flow follows a curved fuselage underbody and retains some momentum in an upward direction so less than full fountain lift is captured unless lift improvement devices are fitted.[18] HGI reduces engine thrust because the air entering the engine is hotter and less dense than cold air.

Early VTOL experimental aircraft operated from open grids to channel away the engine exhaust and prevent thrust loss from HGI.

The Bell X-14, built to research early VTOL technology, was unable to hover until suckdown effects were reduced by raising the aircraft with longer landing gear legs.[19] It also had to operate from an elevated platform of perforated steel to reduce HGI.[20] The Dassault Mirage IIIV VTOL research aircraft only ever operated vertically from a grid which allowed engine exhaust to be channeled away from the aircraft to avoid suckdown and HGI effects.[21]

Ventral strakes retroactively fitted to the P.1127 improved flow and increased pressure under the belly in low altitude hovering. Gun pods fitted in the same position on the production Harrier GR.1/GR.3 and the AV-8A Harrier did the same thing. Further lift improvement devices (LIDS) were developed for the AV-8B and Harrier II. To box in the belly region where the lift-enhancing fountains strike the aircraft, strakes were added to the underside of the gun pods and a hinged dam could be lowered to block the gap between the front ends of the strakes. This gave a 1200 lb lift gain.[22]

Lockheed Martin F-35 Lightning II weapons-bay inboard doors on the F-35B open to capture fountain flow created by the engine and fan lift jets and counter suckdown IGE.

Wing stall in ground effect edit

The stalling angle of attack is less in ground effect, by approximately 2–4 degrees, than in free air.[23][24] When the flow separates there is a large increase in drag. If the aircraft overrotates on take-off at too low a speed the increased drag can prevent the aircraft from leaving the ground. Two de Havilland Comets overran the end of the runway after overrotating.[25][26] Loss of control may occur if one wing tip stalls in ground effect. During certification testing of the Gulfstream G650 business jet the test aircraft rotated to an angle beyond the predicted IGE stalling angle. The over-rotation caused one wing-tip to stall and an uncommanded roll, which overpowered the lateral controls, leading to loss of the aircraft.[27][28]

Ground-effect vehicle edit

A few vehicles have been designed to explore the performance advantages of flying in ground effect, mainly over water. The operational disadvantages of flying very close to the surface have discouraged widespread applications.[29]

See also edit

References edit

Notes edit

  1. ^ Gleim 1982, p. 94.
  2. ^ Dole 2000, p. 70.
  3. ^ "Chapter 7 - Helicopter Performance" (PDF). Helicopter Flying Handbook. Federal Aviation Administration. 2020.
  4. ^ Raymer, Daniel P. (1992). (PDF) (2 ed.). American Institute of Aeronautics and Astronautics, Inc. ISBN 0-930403-51-7. Archived from the original (PDF) on 2019-07-04. Retrieved 2019-12-26. Section 20.6
  5. ^ Saeed, B.; Gratton, G.B. (2010). "An evaluation of the historical issues associated with achieving non-helicopter V/STOL capability and the search for the flying car" (PDF) (February): 94. {{cite journal}}: Cite journal requires |journal= (help)
  6. ^ Aerodynamics for Naval Aviators. RAMESH TAAL, HOSUR, VIC. Australia: Aviation Theory Centre, 2005.
  7. ^ Pilot's Encyclopedia of Aeronautical Knowledge 2007, pp. 3-7, 3-8.
  8. ^ "Lift from Flow Turning". NASA Glenn Research Center. Retrieved July 7, 2009.
  9. ^ a b c Dole 2000, pp. 3–8.
  10. ^ Flight theory and aerodynamics, p. 70
  11. ^ HANDBOOKS, OPERATIONAL READINESS, MISSION PROFILES, PERFORMANCE (ENGINEERING), PROPULSION SYSTEMS, AERODYNAMICS, STRUCTURAL ENGINEERING, Defense Technical Information Center (1974)
  12. ^ "Aerodynamics of ROTOR CRAFT". ABBOTTAEROSPACE.COM. April 12, 2016. pp. 2–6.
  13. ^ Basic Helicopter Aerodynamics, J. Seddon 1990, ISBN 0 632 02032 6, p.21
  14. ^ (PDF). Federal Aviation Administration. 2000. pp. 3–4. Archived from the original (PDF) on 2016-12-27. Retrieved 2021-11-03.
  15. ^ Hall, Gordon R. (1971). MODEL TESTS OF CONCEPTS TO REDUCE HOT GAS INGESTION IN VTOL LIFT ENGINES(NASA CR-1863) (PDF) (Report). Nasa. p. 4.
  16. ^ Krishnamoorthy, V. (1971). AN ANALYSIS OF CORRELATING PARAMETERS RELATING TO HOT-GAS INGESTION CHARACTERISTICS OF JET VTOL AIRCRAFT (PDF) (Report). NASA. p. 8.
  17. ^ Raymer 1992, pp. 551, 552.
  18. ^ Mitchell, Kerry (1987). Proceedings of the 1985 NASA Ames Research Center's Ground-Effects Workshop (NASA Conference Publication 2462). Nasa. p. 4.[dead link]
  19. ^ The X-Planes, Jay Miller1988, ISBN 0 517 56749 0, p.108
  20. ^ Ameel, Frederick Donald (1979). "Application of Powered High Lift Systems to STOL Aircraft Design". p. 14. S2CID 107781224. {{cite web}}: Missing or empty |url= (help)
  21. ^ Williams, R.S. (1985). Addendum to AGARD report no. 710, Special Course on V/STOL Aerodynamics, an assessment of European jet lift aircraft. AGARD report; no. 710, addendum. p. 4. ISBN 9789283514893. {{cite book}}: |website= ignored (help)
  22. ^ Harrier Modern Combat Aircraft 13, Bill Gunston1981, ISBN 0 7110 1071 4, p.23,43,101
  23. ^ "The NTSB’s John O’Callaghan, a national resource specialist in aircraft performance, noted that all aircraft stall at approximately 2-4 deg. lower AOA [angle of attack] with the wheels on the ground." (from NTSB Accident Report concerning loss of a swept wing business-class jet airplane in April 2011) Thin Margins in Wintry Takeoffs AWST, 24 December 2018
  24. ^ Ranter, Harro. "ASN Aircraft accident de Havilland DH-106 Comet 1A CF-CUN Karachi-Mauripur RAF Station". aviation-safety.net.
  25. ^ Aerodynamic Design Of Transport Aircraft, Ed Obert 2009, ISBN 978 1 58603 970 7, pp.603–606
  26. ^ Staff writers (October 25, 2019). "Reprise: Night of the Comet | Flight Safety Australia".
  27. ^ "Crash During Experimental Test Flight Gulfstream Aerospace Corporation GVI (G650), N652GD Roswell, New Mexico April 2, 2011" (PDF). www.ntsb.gov.
  28. ^ From NTSB Accident Report: Flight test reports noted "post stall roll-off is abrupt and will saturate lateral control power." The catastrophic unrecoverable roll of the aircraft in the Roswell accident was due in part to the absence of warning before the stall in ground effect.
  29. ^ Understanding Aerodynamics - Arguing From The Real Physics, Doug McLean 2013, ISBN 978 1 119 96751 4, p.401

Bibliography edit

  • Dole, Charles Edward (2000). Flight Theory and Aerodynamics. Hoboken, New Jersey: John Wiley & Sons, Inc. ISBN 978-0-471-37006-2.
  • Gleim, Irving (1982). Pilot Flight Maneuvers. Ottawa, Ontario, Canada: Aviation Publications. ISBN 0-917539-00-1.
  • Pilot's Encyclopedia of Aeronautical Knowledge (Federal Aviation Administration). New York: Skyhorse Publishing, 2007. ISBN 1-60239-034-7.

External links edit

  • . SE-Technology ('dead' site)
  • Ask Us – Ground Effect and WIG Vehicles. Aerospaceweb.org
  • M. Halloran; S. O'Meara (February 1999). "Wing in Ground Effect Craft Review" (PDF-9 MB). The Sir Lawrence Wackett Centre for Aerospace Design Technology, Royal Melbourne Institute of Technology – via Abbott Aerospace.[permanent dead link] DSTO-GD-0201. Sponsored by DSTO Aeronautical and Maritime Research Laboratory, Australian Government. ()
  • . dynamicflight.com
  • Tongji University Scientists in Shanghai announce design of a new vehicle, inventorspot.com, 14 July 2007
  • . hanggliding.org
  • (PDF) Journal of Theoretical and Applied Mechanics, 45, 2, pp. 425–36, Warsaw 2007. ptmts.org.

ground, effect, aerodynamics, fixed, wing, aircraft, ground, effect, reduced, aerodynamic, drag, that, aircraft, wings, generate, when, they, close, fixed, surface, during, takeoff, ground, effect, cause, aircraft, float, while, below, recommended, climb, spee. For fixed wing aircraft ground effect is the reduced aerodynamic drag that an aircraft s wings generate when they are close to a fixed surface 1 During takeoff ground effect can cause the aircraft to float while below the recommended climb speed The pilot can then fly just above the runway while the aircraft accelerates in ground effect until a safe climb speed is reached 2 For rotorcraft ground effect results in less drag on the rotor during hovering close to the ground At high weights this sometimes allows the rotorcraft to lift off while stationary in ground effect but does not allow it to transition to flight out of ground effect Helicopter pilots are provided with performance charts which show the limitations for hovering their helicopter in ground effect IGE and out of ground effect OGE The charts show the added lift benefit produced by ground effect 3 For fan and jet powered vertical take off and landing VTOL aircraft ground effect when hovering can cause suckdown and fountain lift on the airframe and loss in hovering thrust if the engine sucks in its own exhaust gas which is known as hot gas ingestion HGI 4 5 Contents 1 Explanations 1 1 Fixed wing aircraft 1 2 Rotorcraft 1 3 VTOL aircraft 1 4 Wing stall in ground effect 2 Ground effect vehicle 3 See also 4 References 4 1 Notes 4 2 Bibliography 5 External linksExplanations editFixed wing aircraft edit When an aircraft flies at or below approximately half the length of the aircraft s wingspan above the ground or water there occurs an often noticeable ground effect The result is lower induced drag on the aircraft This is caused primarily by the ground or water obstructing the creation of wingtip vortices and interrupting downwash behind the wing 6 7 A wing generates lift by deflecting the oncoming airmass relative wind downward 8 The deflected or turned flow of air creates a resultant force on the wing in the opposite direction Newton s 3rd law The resultant force is identified as lift Flying close to a surface increases air pressure on the lower wing surface nicknamed the ram or cushion effect and thereby improves the aircraft lift to drag ratio The lower nearer the wing is to the ground the more pronounced the ground effect becomes While in the ground effect the wing requires a lower angle of attack to produce the same amount of lift In wind tunnel tests in which the angle of attack and airspeed remain constant an increase in the lift coefficient ensues 9 which accounts for the floating effect Ground effect also alters thrust versus velocity where reduced induced drag requires less thrust in order to maintain the same velocity 9 Low winged aircraft are more affected by ground effect than high wing aircraft 10 Due to the change in up wash down wash and wingtip vortices there may be errors in the airspeed system while in ground effect due to changes in the local pressure at the static source 9 Rotorcraft edit When a hovering rotor is near the ground the downward flow of air through the rotor is reduced to zero at the ground This condition is transferred up to the disc through pressure changes in the wake which decreases the inflow to the rotor for a given disc loading which is rotor thrust for each square foot of its area This gives a thrust increase for a particular blade pitch angle or alternatively the power required for a thrust is reduced For an overloaded helicopter that can only hover IGE it may be possible to climb away from the ground by translating to forward flight first while in ground effect 11 The ground effect benefit disappears rapidly with speed but the induced power decreases rapidly as well to allow a safe climb 12 Some early underpowered helicopters could only hover close to the ground 13 Ground effect is at its maximum over a firm smooth surface 14 VTOL aircraft edit There are two effects inherent to VTOL aircraft operating at zero and low speeds in ground effect suckdown and fountain lift A third hot gas ingestion may also apply to fixed wing aircraft on the ground in windy conditions or during thrust reverser operation How well in terms of weight lifted a VTOL aircraft hovers IGE depends on suckdown on the air frame fountain impingement on the underside of the fuselage and HGI into the engine causing inlet temperature rise ITR Suckdown works against the engine lift as a downward force on the airframe Fountain flow works with the engine lift jets as an upwards force The severity of the HGI problem becomes clear when the level of ITR is converted into engine thrust loss three to four percent per 10 F inlet temperature rise 15 16 Suckdown is the result of entrainment of air around aircraft by lift jets when hovering It also occurs in free air OGE causing loss of lift by reducing pressures on the underside of the fuselage and wings Enhanced entrainment occurs when close to the ground giving higher lift loss Fountain lift occurs when an aircraft has two or more lift jets The jets strike the ground and spread out Where they meet under the fuselage they mix and can only move upwards striking the underside of the fuselage 17 How well their upward momentum is diverted sideways or downward determines the lift Fountain flow follows a curved fuselage underbody and retains some momentum in an upward direction so less than full fountain lift is captured unless lift improvement devices are fitted 18 HGI reduces engine thrust because the air entering the engine is hotter and less dense than cold air Early VTOL experimental aircraft operated from open grids to channel away the engine exhaust and prevent thrust loss from HGI The Bell X 14 built to research early VTOL technology was unable to hover until suckdown effects were reduced by raising the aircraft with longer landing gear legs 19 It also had to operate from an elevated platform of perforated steel to reduce HGI 20 The Dassault Mirage IIIV VTOL research aircraft only ever operated vertically from a grid which allowed engine exhaust to be channeled away from the aircraft to avoid suckdown and HGI effects 21 Ventral strakes retroactively fitted to the P 1127 improved flow and increased pressure under the belly in low altitude hovering Gun pods fitted in the same position on the production Harrier GR 1 GR 3 and the AV 8A Harrier did the same thing Further lift improvement devices LIDS were developed for the AV 8B and Harrier II To box in the belly region where the lift enhancing fountains strike the aircraft strakes were added to the underside of the gun pods and a hinged dam could be lowered to block the gap between the front ends of the strakes This gave a 1200 lb lift gain 22 Lockheed Martin F 35 Lightning II weapons bay inboard doors on the F 35B open to capture fountain flow created by the engine and fan lift jets and counter suckdown IGE nbsp Bell X 14 showing lengthened landing gear legs to reduce suckdown nbsp Dassault Mirage IIIV hovering over open grid nbsp Underside view of the first prototype P 1127 showing small ventral strakes to increase fountain lift nbsp Harrier GR9 showing the lift improvement devices large ventral strakes and a retractable dam behind nosewheel nbsp F 35B showing weapon s bay inboard doors open to capture rising fountain flow Wing stall in ground effect edit The stalling angle of attack is less in ground effect by approximately 2 4 degrees than in free air 23 24 When the flow separates there is a large increase in drag If the aircraft overrotates on take off at too low a speed the increased drag can prevent the aircraft from leaving the ground Two de Havilland Comets overran the end of the runway after overrotating 25 26 Loss of control may occur if one wing tip stalls in ground effect During certification testing of the Gulfstream G650 business jet the test aircraft rotated to an angle beyond the predicted IGE stalling angle The over rotation caused one wing tip to stall and an uncommanded roll which overpowered the lateral controls leading to loss of the aircraft 27 28 Ground effect vehicle editMain article Ground effect vehicle A few vehicles have been designed to explore the performance advantages of flying in ground effect mainly over water The operational disadvantages of flying very close to the surface have discouraged widespread applications 29 See also editCoandă effect Ground effect cars Hovercraft Vortex ringReferences editNotes edit Gleim 1982 p 94 Dole 2000 p 70 Chapter 7 Helicopter Performance PDF Helicopter Flying Handbook Federal Aviation Administration 2020 Raymer Daniel P 1992 Aircraft Design A Conceptual Approach PDF 2 ed American Institute of Aeronautics and Astronautics Inc ISBN 0 930403 51 7 Archived from the original PDF on 2019 07 04 Retrieved 2019 12 26 Section 20 6 Saeed B Gratton G B 2010 An evaluation of the historical issues associated with achieving non helicopter V STOL capability and the search for the flying car PDF February 94 a href Template Cite journal html title Template Cite journal cite journal a Cite journal requires journal help Aerodynamics for Naval Aviators RAMESH TAAL HOSUR VIC Australia Aviation Theory Centre 2005 Pilot s Encyclopedia of Aeronautical Knowledge 2007 pp 3 7 3 8 Lift from Flow Turning NASA Glenn Research Center Retrieved July 7 2009 a b c Dole 2000 pp 3 8 Flight theory and aerodynamics p 70 HANDBOOKS OPERATIONAL READINESS MISSION PROFILES PERFORMANCE ENGINEERING PROPULSION SYSTEMS AERODYNAMICS STRUCTURAL ENGINEERING Defense Technical Information Center 1974 Aerodynamics of ROTOR CRAFT ABBOTTAEROSPACE COM April 12 2016 pp 2 6 Basic Helicopter Aerodynamics J Seddon 1990 ISBN 0 632 02032 6 p 21 Rotor raft Flying Handbook PDF Federal Aviation Administration 2000 pp 3 4 Archived from the original PDF on 2016 12 27 Retrieved 2021 11 03 Hall Gordon R 1971 MODEL TESTS OF CONCEPTS TO REDUCE HOT GAS INGESTION IN VTOL LIFT ENGINES NASA CR 1863 PDF Report Nasa p 4 Krishnamoorthy V 1971 AN ANALYSIS OF CORRELATING PARAMETERS RELATING TO HOT GAS INGESTION CHARACTERISTICS OF JET VTOL AIRCRAFT PDF Report NASA p 8 Raymer 1992 pp 551 552 Mitchell Kerry 1987 Proceedings of the 1985 NASA Ames Research Center s Ground Effects Workshop NASA Conference Publication 2462 Nasa p 4 dead link The X Planes Jay Miller1988 ISBN 0 517 56749 0 p 108 Ameel Frederick Donald 1979 Application of Powered High Lift Systems to STOL Aircraft Design p 14 S2CID 107781224 a href Template Cite web html title Template Cite web cite web a Missing or empty url help Williams R S 1985 Addendum to AGARD report no 710 Special Course on V STOL Aerodynamics an assessment of European jet lift aircraft AGARD report no 710 addendum p 4 ISBN 9789283514893 a href Template Cite book html title Template Cite book cite book a website ignored help Harrier Modern Combat Aircraft 13 Bill Gunston1981 ISBN 0 7110 1071 4 p 23 43 101 The NTSB s John O Callaghan a national resource specialist in aircraft performance noted that all aircraft stall at approximately 2 4 deg lower AOA angle of attack with the wheels on the ground from NTSB Accident Report concerning loss of a swept wing business class jet airplane in April 2011 Thin Margins in Wintry Takeoffs AWST 24 December 2018 Ranter Harro ASN Aircraft accident de Havilland DH 106 Comet 1A CF CUN Karachi Mauripur RAF Station aviation safety net Aerodynamic Design Of Transport Aircraft Ed Obert 2009 ISBN 978 1 58603 970 7 pp 603 606 Staff writers October 25 2019 Reprise Night of the Comet Flight Safety Australia Crash During Experimental Test Flight Gulfstream Aerospace Corporation GVI G650 N652GD Roswell New Mexico April 2 2011 PDF www ntsb gov From NTSB Accident Report Flight test reports noted post stall roll off is abrupt and will saturate lateral control power The catastrophic unrecoverable roll of the aircraft in the Roswell accident was due in part to the absence of warning before the stall in ground effect Understanding Aerodynamics Arguing From The Real Physics Doug McLean 2013 ISBN 978 1 119 96751 4 p 401 Bibliography edit Dole Charles Edward 2000 Flight Theory and Aerodynamics Hoboken New Jersey John Wiley amp Sons Inc ISBN 978 0 471 37006 2 Gleim Irving 1982 Pilot Flight Maneuvers Ottawa Ontario Canada Aviation Publications ISBN 0 917539 00 1 Pilot s Encyclopedia of Aeronautical Knowledge Federal Aviation Administration New York Skyhorse Publishing 2007 ISBN 1 60239 034 7 External links edit nbsp Wikimedia Commons has media related to Ground effect Engineering explanation SE Technology dead site Ask Us Ground Effect and WIG Vehicles Aerospaceweb org M Halloran S O Meara February 1999 Wing in Ground Effect Craft Review PDF 9 MB The Sir Lawrence Wackett Centre for Aerospace Design Technology Royal Melbourne Institute of Technology via Abbott Aerospace permanent dead link DSTO GD 0201 Sponsored by DSTO Aeronautical and Maritime Research Laboratory Australian Government WebArchive Wing in Ground Effect and helicopters dynamicflight com Plane Can Fly Inches Over Water Tongji University Scientists in Shanghai announce design of a new vehicle inventorspot com 14 July 2007 Ground effect gliding hanggliding org Numerical Analysis of Airfoil in Ground Proximity PDF Journal of Theoretical and Applied Mechanics 45 2 pp 425 36 Warsaw 2007 ptmts org Retrieved from https en wikipedia org w index php title Ground effect aerodynamics amp oldid 1209821460, wikipedia, wiki, book, books, library,

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