Abstract
Details of the vorticity field structure associated with the 3D Tollmien-Schlichting waves have been examined based upon the recent numerical studies of the subject. First, a single obliquet-s wave has been found to have the velocity component parallel to the wave front playing an overall dominant role, in particular, to create the longitudinal vorticity. The so-called Benney-Lin longitudinal vortices are then demonstrated to be, in fact, a minor consequence compared with the localized longitudinal vorticity field and its periodic pumping. Finally, the formation of the longitudinal vorticity field in the fundamental- and subharmonic-mode interactions is explained.
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References
Antar B N, Collins F G 1975Phys. Fluids 12: 289–297
Benney D J 1961J. Fluid Mech. 10: 209–236
Benney D J 1964Phys. Fluids 7: 319–326
Benney D J, Lin C C 1960Phys. Fluids 3: 656–657
Hama F R 1959Phys. Fluids 2: 664–667
Hama F R, Nutant J 1963Proc. Heat Transfer Fluid Mech. Inst. 77–93
Herbert T 1984 in ‘Special Course on Stability and Transition of Laminar Flow’, AGARD-R-709
Kachanov Yu S, Levchenko V Ya 1984J. Fluid Mech. 138: 209–247
Klebanoff P S, Tidstrom K D, Sargent L M 1962J. Fluid Mech. 12: 1–34
Kleiser L 1982 Numerische Simulationen zum laminar-turbulenten Umchlagsprozess der ebenen Poiseuille-Strömung, Kernforschungs-zentrum Karlsruhe, KfK 3271
Knapp C F, Roache P J 1968AIAA J. 6: 29–36
Kovasznay L S G, Komoda H, Vasudeva B R 1962Proc. Heat Transfer Fluid Mech. Inst. 1–26
Laurien E 1986 Numerische Simulation zur aktiven Beeinflussung des laminar-turbulenten Übergangs in der Plattengrenzschichtströmung, DFVLR-FB-86-05
Mack L M 1984 in ‘Special Course on Stability and Transition of Laminar Flow’, AGARD-R-709
Schubauer G B 1957 inBoundary Layer Research Symposium, Freiburg (Berlin: Springer Verlag)
Squire H B 1933Proc. R. Soc. A142: 621–628
Usher J R, Craik A D D 1975J. Fluid Mech. 70: 437–461
Williams D R 1982 An experimental investigation of the nonlinear disturbance development in boundary layer transition, doctoral dissertation, Princeton University
Williams D R, Fasel H, Hama F R 1984J. Fluid Mech. 149: 179–203
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The research reported in this paper has been supported in part by Bundesministerium für Forschung und Technologie and by Deutsche Forschungsgemeinschaft. The major part of the paper has been presented at the Third Asian Congress of Fluid Mechanics, 1–5 September 1986, in Tokyo, as a General Lecture by the senior author, FRH.
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Hama, F.R., Rist, U., Konzelmann, U. et al. Vorticity field structure associated with the 3D Tollmien-Schlichting waves. Sadhana 10, 321–347 (1987). https://doi.org/10.1007/BF02811299
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DOI: https://doi.org/10.1007/BF02811299