Abstract
Aircraft trailing vortices constitute both a kaleidoscope of instructive fluid dynamics phenomena and a challenge for the sustained development of the safety and capacity of the air-transportation system. This section gives an overview of the wake vortex issue commencing at its historical roots, proceeding with a sketch of the nature and characteristics of wake vortices resulting from field measurement and numerical simulation, and concluding with a depiction of the design and performance of wake vortex simulation systems established for the prediction of dynamic aircraft separations in different flight phases and for sensitivity and risk analysis.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The bound vortex is a hypothetical vortex filament located on a lifting line which represents a straight wing. In a uniform flow perpendicular to its axis, the bound vortex experiences a lift force according to the Kutta-Zhukhovski lift theorem.
References:
Gerz, T., Dürbeck, T., Konopka, P.: Transport and effective diffusion of aircraft emissions. J. Geophys. Res. 103, 25905–25913 (1998). doi:10.1029/98JD02282
Gerz, T., Holzäpfel, F., Darracq, D.: Commercial aircraft wake vortices. Prog. Aerosp. Sci. 38, 181–208 (2002). doi:10.1016/S0376-0421(02)00004-0
Gerz, T., Holzäpfel, F., Gerling, W., Scharnweber, A., Frech, M., Kober, K., Dengler, K., Rahm, S.: The wake vortex prediction and monitoring system WSVBS Part II: performance and ATC integration at Frankfurt airport. Air Traffic Control Quart. 17(4), 323–346 (2009)
Greene, G.C.: An approximate model of vortex decay in the atmosphere. J. Aircraft 23(7), 566–573 (1986)
Gurke, T., Lafferton, H.: The development of the wake vortex warning system for Frankfurt airport: theory and implementation. Air Traffic Control Quart. 5(1), 3–29 (1997)
Hennemann, I.: Deformation und Zerfall von Flugzeugwirbelschleppen in turbulenter und stabil geschichteter Atmosphäre. Dissertation, DLR-Forschungsbericht 2010–21, pp. 146 (2010)
Hennemann, I., Holzäpfel, F.: Large-eddy simulation of aircraft wake vortex deformation and topology, Proceedings of the Institution of Mechanical Engineers, Part G. J. Aerosp. Eng. 225(12), 1336–1350 (2011). doi:10.1177/0954410011402257
Hinton, D.A.: An Aircraft Vortex Spacing System (AVOSS) for Dynamical Wake Vortex Spacing Criteria, The Characterization and Modification of Wakes from Lifting Vehicles in Fluids. AGARD, CP-584, 23.21–23.11.(1996)
Hofbauer, T.: Numerische Untersuchungen zum Einfluss von Windscherung und Turbulenz auf Flugzeugwirbelschleppen. Dissertation, DLR-Forschungsbericht 2003–01, pp. 115 (2003)
Holzäpfel, F., Gerz, T., Frech, M., Dörnbrack, A.: Wake vortices in a convective boundary layer and their influence on following aircraft. J. Aircraft 37(6), 1001–1007 (2000). doi:10.2514/2.2727
Holzäpfel, F., Gerz, T., Baumann, R.: The turbulent decay of trailing vortex pairs in stably stratified environments. Aerosp. Sci. Technol. 5(2), 95–108 (2001). doi:10.1016/S1270-9638(00)01090-7
Holzäpfel, F.: Probabilistic two-phase wake vortex decay and transport model. J. Aircraft 40(2), 323–331 (2003). doi:10.2514/2.3096
Holzäpfel, F., Hofbauer, T., Darracq, D., Moet, H., Garnier, F., Ferreira Gago, C.: Analysis of wake vortex decay mechanisms in the atmosphere. Aerosp. Sci. Technol. 7(4), 263–275 (2003). doi:10.1016/S1270-9638(03)00026-9
Holzäpfel, F.: Probabilistic two-phase aircraft wake-vortex model: further development and assessment. J. Aircraft 43(3), 700–708 (2006). doi:10.2514/1.16798
Holzäpfel, F., Frech, M., Gerz, T., Tafferner, A., Hahn, K.-U., Schwarz, C., Joos, H.-D., Korn, B., Lenz, H., Luckner, R., et al.: Aircraft wake vortex scenarios simulation package—WakeScene. Aerosp. Sci. Technol. 13(1), 1–11 (2009a). doi:10.1016/j.ast.2007.09.008
Holzäpfel, F., Gerz, T., Frech, M., Tafferner, A., Köpp, F., Smalikho, I., Rahm, S., Hahn, K.-U., Schwarz, C.: The wake vortex prediction and monitoring system WSVBS—Part I: design. Air Traffic Control Quart. 17(4), 301–322 (2009b)
Holzäpfel, F., Kladetzke, J.: Assessment of wake vortex encounter probabilities for crosswind departure scenarios. J. Aircraft 48(3), 812–822 (2011). doi:10.2514/1.C000236
Jackson, W., Yaras, M., Harvey, J., Winckelmans, G., Fournier, G., Belotserkovsky, A.: Wake vortex prediction—an overview, transport Canada, Montreal, Rept. TP 13629E (2001)
Kauertz, S., Holzäpfel, F., Kladetzke, J.: Wake vortex encounter risk assessment for crosswind departures. J. Aircraft 49(1), 281–291 (2012). doi:10.2514/1.C031522
Köpp, F.: Doppler lidar investigation of wake vortex transport between closely spaced parallel runways. AIAA J. 32(4), 805–810 (1994). doi:10.2514/3.12057
Köpp, F., Smalikho, I., Rahm, S., Dolfi, A., Cariou, J.-P., Harris, M., Young, R.I., Weekes, K., Gordon, N.: Characterization of aircraft wake vortices by multiple-lidar triangulation. AIAA J. 41(6), 1081–1088 (2003). doi:10.2514/2.2048
Köpp, F., Rahm, S., Smalikho, I.: Characterization of aircraft wake vortices by 2-µm pulsed Doppler lidar. J. Atmos. Ocean. Technol. 21(2), 194–206 (2004). 10.1175/1520-0426(2004) 021<0194:COAWVB>2.0.CO;2
Lanchester, F.W.: Aerodynamics. Constable, London (1907)
Manhart, M.: A zonal grid algorithm for DNS of turbulent boundary layers. Comput. Fluids 33(3), 435–461 (2004). doi:10.1016/S0045-7930(03)00061-6
Misaka, T., Holzäpfel, F., Gerz, T., Manhart, M., Schwertfirm, F.: Vortex bursting and tracer transport of a counter-rotating vortex pair. Phys. Fluids 24(2), 25104-25101--25104-25121 (2012). doi: 10.1063/1.3684990
Prandtl, L.: Tragflügeltheorie. I. Mitteilung. Nachrichten der K. Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-physikalische Klasse, 451–477 (1918)
Proctor, F.H., Switzer, G.F.: Numerical simulation of aircraft trailing vortices. In: Proceedings of the 9th Conference on Aviation, Range and Aerospace Meteorology, vol. 7.12, pp. 511–516 (2000)
Rahm, S., Smalikho, I.: Aircraft wake vortex measurement with airborne coherent Doppler lidar. J. Aircraft 45, 1148–1155 (2008). doi:10.2514/1.32896
Robins, R.E., Delisi, D.P.: Numerical simulation of three-dimensional trailing vortex evolution in stratified fluid. AIAA J. 36(6), 981–985 (1998). doi:10.2514/2.468
Sarpkaya, T., Robins, R.E., Delisi, D.P.: Wake-vortex eddy-dissipation model predictions compared with observations. J. Aircraft 38(4), 687–692 (2001). doi:10.2514/2.2820
Schumann, U. (ed.): Air traffic and the environment—background, tendencies and potential global atmospheric effects. Lecture Notes in Engineering 60. Springer-V, (1990)
Schwarz, C.W., Hahn, K.-U.: Full-flight simulator study for wake vortex hazard area Investigation. Aerosp. Sci. Technol. 10(2), 136–143 (2006). doi:10.1016/j.ast.2005.09.005
Smalikho, I., Köpp, F., Rahm, S.: Measurement of atmospheric turbulence by 2-µm Doppler lidar. J. Atmos. Ocean. Technol. 22(11), 1733–1747 (2005). doi:10.1175/JTECH1815.1
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Holzäpfel, F., Gerz, T. (2012). Aircraft Wake Vortices: From Fundamental Research to Operational Application. In: Schumann, U. (eds) Atmospheric Physics. Research Topics in Aerospace. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30183-4_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-30183-4_14
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-30182-7
Online ISBN: 978-3-642-30183-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)