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Flow past a delta wing with a sinusoidal leading edge: near-surface topology and flow structure

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Abstract

The near-surface flow structure and topology on a delta wing of low sweep angle, having sinusoidal leading edges of varying amplitude and wavelength, are investigated using a stereoscopic technique of high-image-density particle image velocimetry at a Reynolds number of 15,000. Identification of critical points, in conjunction with surface-normal vorticity and velocity, provides a basis for determining the effectiveness of a given leading edge. At high angle of attack, where large-scale three-dimensional separation occurs from the wing with a straight leading edge, an amplitude of the leading-edge protuberance as small as one-half of one percent of the chord of the wing can substantially alter the near-surface topology. When the amplitude reaches a value of four percent of the chord, it is possible to completely eradicate the negative focus of large-scale, three-dimensional separation, in favor of a positive focus of attachment. Moreover, alteration of the near-surface topology is most effective when the ratio of the wavelength to amplitude of the sinusoidal leading edge is maintained at a small value.

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References

  • Bakker PG, de Winkel MEM (1990) On the Topology of three-dimensional separated flow structures and local solutions of the Navier-Stokes equations. In: Moffatt HK, Tsinober A (eds) Proceedings of the IUTAM Symposium, 13–18 August 1989, Cambridge, UK. Topological fluid mechanics. Cambridge University Press, Cambridge

  • Bearman PW, Owen JC (1998) Reduction of bluff-body drag and suppression of vortex shedding b the introduction of wavy separation lines. J Fluids Struct 12:123–130

    Article  Google Scholar 

  • Bushnell DM, Moore KJ (1991) Drag reduction in nature. Annu Rev Fluid Mech 23:65–79

    Article  Google Scholar 

  • Chapman GT, Yates LA (1991) Topology of flow separation on three-dimensional bodies. Appl Mech Rev 44(7):329

    Article  MathSciNet  Google Scholar 

  • Chong MS, Perry AE, Cantwell B (1990) A general classification of three-dimensional flow fields. Phys Fluids A (Fluid Dyn) 2(5):765–777

    Article  MathSciNet  Google Scholar 

  • Dallman U (1983) Topological structures of three-dimensional vortex flow separation in AIAA-83-1735

  • Delery J (2001) Robert Legendre, Henri Werlé: toward the elucidation of three-dimensional separation. Annu Rev Fluid Mech 33:129–154

    Article  Google Scholar 

  • Depardon S, Lasserre JJ, Boueilh JC, Brizzi LE, Boree J (2005) Skin friction pattern analysis using near-wall PIV. Exp Fluids 39:805–818

    Article  Google Scholar 

  • Depardon S, Lasserre JJ, Brizzi LE, Borée J (2007) Automated topology classification method for instantaneous velocity fields. Exp Fluids 42:697–710

    Article  Google Scholar 

  • Earnshaw PB, Lawford JA (1964) Low-speed wind tunnel experiments on a series of sharp-edged delta wings. Aeronautical Research Council. R&M 3424

  • Fish FE, Lauder GV (2006) Passive and active flow control by swimming fishes and mammals. Annu Rev Fluid Mech 38:193–224

    Article  MathSciNet  Google Scholar 

  • Foss JF (2004) Surface selections and topological constraint evaluation for flow field analyses. Exp Fluids 37:883–898

    Article  Google Scholar 

  • Fouras A, Soria J (1998) Accuracy of out-of-plane vorticity measurements derived from in-plane velocity field data. Exp Fluids 25:409–430

    Article  Google Scholar 

  • Gordnier RE, Visbal MR (2003) Higher-order compact difference scheme applied to the simulation of a low sweep delta wing flow AIAA Paper 2003-0620. In: 41st AIAA Aerospace Sciences Meeting and Exhibit. Reno, NV, January

  • Goruney T (2008) Investigation of flow structure on a stationary and pitching delta wing of moderate sweep angle using stereoscopic particle image velocimetry. Ph.D. Dissertation. Lehigh University, Bethlehem

  • Hunt JCR, Abel CJ, Peterka J, Woo H (1977) Kinematical studies of the flows around free-surface-mounted obstacles. J Fluid Mech 86:179–200

    Article  Google Scholar 

  • Johari H, Henoch C, Custodio D, Levshin A (2007) Effects of leading edge protuberances on airfoil performance. AIAA J 45:2634–2642

    Article  Google Scholar 

  • Johari H, Henoch C, Custodio D (2008) Visualization of flow on hydrofoils with leading edge protuberances. In: 13th international symposium on flow visualization, 1–4 July, Nice, France

  • Legendre R (1956) Séparation de l’ecoulement laminaire tridimensional. La Rech Aéronautique 54:3–8

    Google Scholar 

  • Legendre R (1977) Lignes de Courant d’un Écoulement Permanent, Deécollement et Separation. La Rech Aérospatiale 6:327–335

    Google Scholar 

  • Miklosovic DS, Murray MM, Howle LE, Fish FE (2004) Leading-edge tubercles delay stall on Humpback Whale (Megaptera Novaeangliae) flippers. Phys Fluids 16:L39–L42

    Article  Google Scholar 

  • Miklosovic DS, Murray MM, Howle LE (2007) Experimental evaluation of sinusoidal leading-edges. J Aircr 44(4):1404–1408

    Article  Google Scholar 

  • Owen JC, Szewezyk AA, Bearman PW (2000) Suppression of Kármán vortex shedding, gallery of fluid motion. Phys Fluids 12:1–13

    Article  Google Scholar 

  • Paterson EG, Wilson RV, Stern F (2003) General-Purpose Parallel Unsteady RANS CFD Code for Ship Hydrodynamics, IIHR Hydroscience Engineering Report 531. University of Iowa, Iowa City, Iowa

  • Perry AE, Chong MS (1987) A description of eddying motions and flow patterns using critical-point concepts. Annu Rev Fluid Mech 19:125–155

    Article  Google Scholar 

  • Perry AE, Chong MS (2000) Flow visualization: techniques and examples. In: Smiths A, Lim TT (eds) Interpretation of flow visualization, chap 1. Imperial College Press, London

    Google Scholar 

  • Perry AE, Fairlie DB (1974) Critical points in flow patterns. Adv Geophys 18B:299–315

    Google Scholar 

  • Perry AE, Hornung H (1984) Some aspects of three-dimensional separation, Part II: vortex skeletons. Z Flugwiss Weltraumforsch 8:155–160

    Google Scholar 

  • Prasad AK, Jensen K (1995) Scheimpflug stereocamera for particle image velocimetry in liquid flows. Appl Opt 34(30):7092–7099

    Article  Google Scholar 

  • Sahin M, Sankar LN, Chandrasekhara MS, Tung C (2003) Dynamic stall alleviation using a deformable leading edge concept: a numerical study. J Aircr 40(1):77–85

    Article  Google Scholar 

  • Squire LC, Maltby RL, Keating RFA, Stanbrook A (1962) Flow visualization in wind tunnels using indicators, Part I: the surface oil flow technique. Technical Report, AGARDOGRAPH

  • Su W, Liu M, Liu Z (1990) Topological structures of separated flows about a series of sharp-edged delta wings at angles-of-attack up to 90°. In: Moffatt HK, Tsinober A (eds) Proceedings of the IUTAM Symposium,13–18 August 1989, Cambridge, UK. Topological fluid mechanics. Cambridge University Press, Cambridge

  • Taylor GS, Gursul I (2004) Unsteady vortex flows and buffeting of a low sweep delta wing, AIAA 2004-1066, 42nd AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV

  • Tobak M, Peake J (1982) Topology of three-dimensional separated flows. Annu Rev Fluid Mech 14:61–85

    Article  MathSciNet  Google Scholar 

  • Verhaagen, Bossuyt (2006) Flow on a delta wing apex collection of technical papers. In: 44th AIAA Aerospace Sciences Meeting, vol 5, pp 3056–3066

  • Watts P, Fish FE (2001) The influence of passive, leading edge tubercles on wing performance. In: Proceedings of twelfth international symposium on Unmanned Untethered Submersibles Technology, Durham New Hampshire: Auton, Undersea Systems Institute

  • Yavuz MM (2006) Origin and control of the flow structure and topology on delta wings. Ph.D. Dissertation. Lehigh University, Bethlehem

  • Yavuz MM, Elkhoury M, Rockwell D (2004) Near-surface topology and flow structure on a delta wing. AIAA J 42(2):332–340

    Article  Google Scholar 

  • Zang W, Prasad AK (1997) Performance evaluation of a Scheimpflug stereocamera for particle image velocimetry. Appl Opt 36(33): 8738–8744

    Google Scholar 

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Goruney, T., Rockwell, D. Flow past a delta wing with a sinusoidal leading edge: near-surface topology and flow structure. Exp Fluids 47, 321–331 (2009). https://doi.org/10.1007/s00348-009-0666-x

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  • DOI: https://doi.org/10.1007/s00348-009-0666-x

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