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Vortex Flows and the Rolled Up Vortex Wake

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High Angle of Attack Aerodynamics

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Abstract

The trailing vortex wake behind the lifting wing is an excellent example of the natural tendency of free vortical shear layers to roll up into well-defined concentrated vortices with the essentially inviscid outer flow rotating around an inner viscous core. Such is the case when the well known tip vortices are established in the wake of high AR lifting wings. High speed computers provide the means for calculating the characteristics of the complete flow field over the wing as well as its wake and the rolled-up tip vortices. These calculations will be presented and discussed in the following chapters. However, before diving into the details of the calculations, it is of particular interest and importance to gain some insight into the flow field over wings and their wakes. This can best be done by examining analytical solutions, such as those developed by Sprieter and Sacks (1951), to the problems of simulating the main features of the rolled-up vortex flow.

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References

  1. Almosnino, D. (1985), “High Angle of Attack Calculations of the Subsonic Vortex Flow on Slender Bodies”, AIAA Journal, Vol. 23, No. 8, pp. 1150–1156.

    Google Scholar 

  2. Almosnino, D., Zorea, C. and Rom, J. (1978), “A Method for Calculating Longitudinal Characteristics of Wings and Multiple Lifting Surfaces in Subsonic Flow, and at High Angles of Attack”, Israel Journal of Technology, Vol. 16, pp. 132–141.

    Google Scholar 

  3. Benjamin, (1962), “Theory of the Vortex Breakdown Phenomenon”, J.F.M. vol. 4, Part 4, pp. 593–629.

    Google Scholar 

  4. Betz, A. (1933), “Behaviour of Vortex Systems”, NACA TM 713.

    Google Scholar 

  5. Butter, D.J. and Hancock, G.J. (1971), “A Numerical Method for Calculating the Trailing Vortex System Behind a Swept Wing at Low Speed”, The Aero. Journal of the Royal Aero. Soc., Vol. 75, pp. 564–568.

    Google Scholar 

  6. Clements, R.R. and Maul, D.J. (1973), “The Rolling up of a Trailing Vortex Sheet”, The Aeronautical Journal, Vol. 77, No. 745, pp. 46–51.

    Google Scholar 

  7. Crow, S.C. (1970), “Stability Theory for a Pair of Trailing Vortices”, AIAA Journal, Vol. 8, pp. 46–51.

    Google Scholar 

  8. Faler, J.H. and Leibovich, S. (1978), “An Experimental Map of the Internal Structure of a Vortex Breakdown”, Journal of Fluid Mechanics, Vol. 86, pp. 313–335.

    Article  Google Scholar 

  9. Fink, P.T. and Soh, W.K. (1978), “A New Approach to Roll-Up Calculations of Vortex Sheets”, Proc. of the Royal Soc. A, Vol. 362, pp. 195–209.

    Article  MATH  Google Scholar 

  10. Greene, G.C. (1985), “An Approximate Model of Vortex Decay in the Atmosphere”, AIAA Paper 85–1835 CP.

    Google Scholar 

  11. Hackett, J.E. and Evans, M.R. (1971), “Vortex Wakes Behind High Lift Wings”, Journal of Aircraft, Vol. 8, No. 5, pp. 334–340.

    Article  Google Scholar 

  12. Hafez, A.M., Kuruvila, J.G. and Salas, M.D. (1987), “Vortex Breakdown Simulation”, AIAA Paper 87–1343.

    Google Scholar 

  13. Hall, (1967), “A New Approach to Vortex Breakdown”, Proceedings of the 1967 Heat and Fluid Mechanics Institute, Stanford University Press.

    Google Scholar 

  14. Hoeijmakers, H.W.M. (1989), “Computational Aerodynamics of Ordered Vortex Flows”, NRL TR 88088U, Amsterdam, The Netherlands.

    Google Scholar 

  15. Kaden, H. (1931), “Aufwicklung einer unstabilem unstetigkeitsflâche”, Ing. Arch., Vol. 2, pp. 140–168.

    Article  Google Scholar 

  16. Labrujere, Th. E. (1972), “A Numerical Method for the Determination of the Vortex sheet Location Behind a Wing in Incompressible Flow”, NRL TR 7209U.

    Google Scholar 

  17. Leibovich, S. and Stewartson, K. (1983), “A Sufficient Condition for the Instability of Columnar Vortices”, Journal of Fluid Mechanics, Vol. 126, pp. 335–356.

    Article  MathSciNet  MATH  Google Scholar 

  18. Ludwieg, H. (1970), “Vortex Breakdown”, DFVLR 70–40.

    Google Scholar 

  19. Maskew, B. (1973), “The Calculation of Potential Flow Aerodynamics Characteristics of Combined Lifting Surfaces with Relaxed Wakes”, HawkerSiddeley Aviation Ltd., (Brough) Aerodynamic Design Dept., Note YAD 3192.

    Google Scholar 

  20. Moore, D.W. (1974), “A Numerical Study of the Rollup of a Finite Vortex Sheet”, Journal of Fluid Mechanics, Vol. 63, pp. 225–235.

    Article  MATH  Google Scholar 

  21. Moore, D.W. (1975), “The Rolling Up of a Semi-Infinite Vortex Sheet”, Proc. of the Royal Soc. A, Vol. 345, pp. 417–430.

    Article  MATH  Google Scholar 

  22. Moore, D.W. (1979), “The Spontaneous Appearance of a Singularity in the Shape of an Evolving Vortex Sheet”, Proc. of the Royal Soc. A, Vol. 365, pp. 105–119.

    Article  MATH  Google Scholar 

  23. Moore, D.W. (1981), “On the Point Vortex Method”, SIAM Journal of Science & Stat. Comp., Vol. 2, No. 1, pp. 65–84.

    Article  MATH  Google Scholar 

  24. Nakamura, Y., Leonard, A. and Spalart, P.R. (1986), “Internal Structure of Vortex Breakdown”, AIAA Paper 86–1074.

    Google Scholar 

  25. Portnoy, H. and Rom, J. (1971), “The Flow Near the Tip and Wake Edge of a Lifting Wing With Trailing-Edge Separation”, TAE Report 132, Department of Aeronautical Engineering, Technion, I.I.T., Haifa, Israel.

    Google Scholar 

  26. Portnoy, H. (1975), “The Initial Roll-Up of a Thick, Two-Dimensional Wake Behind a Wing of Finite Span”, TAE Report 262, Department of Aeronautical Engineering, Technion, I.I.T., Haifa, Israel.

    Google Scholar 

  27. Portnoy, H. (1977), “Thick, Two-Dimensional Wake Roll-Up Behind a Wing of Finite Span — Extended Calculations”, Aeronautical Journal, pp. 460–463.

    Google Scholar 

  28. Rodgers, A. (1954), “Application of Two Dimensional Vortex Theory to the Prediction of Flow Fields Behind Wings of Wing-Body Combinations at Subsonic and Supersonic Speeds”, NACA TN 3227.

    Google Scholar 

  29. Rom, J. and Zorea, Z. (1973), “The Calculation of the Lift Distribution and the Near Vortex Wake Behind High and Low Aspect Ratio Wing in Subsonic Flow”, TAE Report 168, Department of Aeronautical Engineering, Technion, I.I.T., Haifa, Israel.

    Google Scholar 

  30. Rom, J., Zorea, C. and Gordon, R. (1974),Ön the Calculation of Non-Linear Aerodynamic Characteristics and the Near Vortex Wake“, The 9th Congress of ICAS, ICAS paper 74–27.

    Google Scholar 

  31. Rom, J., Portnoy, H. and Zorea, C. (1976), “Investigations of the Rolling-Up of the Vortex Wake and Calculation of Non-Linear Aerodynamic Characteristics of Wings”, TAE Report 277, Department of Aeronautical Engineering, Technion, I.I.T., Haifa, Israel.

    Google Scholar 

  32. Rosenhead, L. (1931), “The Formation of Vortices from a Surface Discontinuity”, Proc. Roy. Soc. London, Ser. A. Vol. 134, pp. 170–192.

    Google Scholar 

  33. Rossow, V.J. (1973), “On the Inviscid Rolled-Up Structure of Lift-Generated Vortices”, Journal of Aircraft, Vol. 10, No. 11, pp. 647–650.

    Article  Google Scholar 

  34. Rossow, V.J. (1975), “Theoretical Study of Lift-Generated Vortex Wakes Designed to Avoid Rollup”, AIAA Journal, Vol. 13, No. 4, pp. 476–484.

    Article  MATH  Google Scholar 

  35. Rusak, Z., (1989), “Three-Dimensional Analysis of Equilibrium and Stabil-ity of Discrete Thin Vortices”, D.Sc. Thesis, Technion, I.I.T., Faculty of Aerospace Engineering, Haifa, Israel.

    Google Scholar 

  36. Sarpkaya, T. (1971), “Vortex Breakdown in Swirling Conical Flows”, AIAA Journal, Vol. 8, pp. 1792–1799.

    Google Scholar 

  37. Siddiqi, S. (1987), “Trailing Vortex Rollup Computations using the Point Vortex Method”, AIAA Paper 87–2479.

    Google Scholar 

  38. Smith, J.H.B. (1984), “Theoretical Modelling of Three-Dimensional Vortex Flows in Aerodynamics”, Aeronautical Journal, pp. 101–116.

    Google Scholar 

  39. Spreiter, J.R. and Sacks, A.H. (1951), “The Rolling Up of the Trailing Vortex Sheet and its Effects on the Downwash Behind Wings”, Journal Aeronautical Sciences, Vol. 18, No. 1, pp. 21–32.

    MathSciNet  MATH  Google Scholar 

  40. Wedemeyer, E. (1982), “Vortex Breakdown” in “High Angle of Attack Aerodynamics”, AGARD-LS-121, 9–1 & 9–17.

    Google Scholar 

  41. Wentz, W.H. Jr. and Kohlman, D.L. (1972), “Vortex Breakdown on Slender Sharp-Edged Wings”, Journal of Aircraft, Vol. 8, No. 3, pp. 156–161.

    Google Scholar 

  42. Westwater, P.L. (1935), “The Rolling Up of the Surface Discontinuity Behind an Airfoil of Finite Span”, British A.R.C. R&M 1692.

    Google Scholar 

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Authors and Affiliations

  1. Department of Aerospace Engineering, Technion-Israel Institute of Technology, Haifa, 32000, Israel

    Josef Rom

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  1. Josef Rom
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© 1992 Springer-Verlag New York, Inc.

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Rom, J. (1992). Vortex Flows and the Rolled Up Vortex Wake. In: High Angle of Attack Aerodynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2824-0_5

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  • DOI: https://doi.org/10.1007/978-1-4612-2824-0_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7686-9

  • Online ISBN: 978-1-4612-2824-0

  • eBook Packages: Springer Book Archive

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