Abstract
Over recent years several studies have been made on the effect that a degree of three-dimensionality can have on the evolution of centrifugal instabilities. It has been demonstrated that a small cross-flow will stabilise the Taylor and Görtler modes, at least in high Taylor/Görtler number situations. The equations governing longitudinal vortices in the Görtler case are given, and are solved numerically, exploiting their parabolic nature. The dominant effect is to induce a periodicity in the streamwise coordinate, and the most unstable Görtler mode is no longer necessarily steady. It will be shown that crossflow modifies the interval over which a vortex grows.
Research was supported by the National Aeronautics and Space Administration under NASA contract No. NAS1-19480 while the author was in residence at the Institute for Computer Applications in Science and Engineering (ICASE), NASA Langley Research Center, Hampton, VA 23681
Research was supported by the Australian Research Council
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References
Bassom, A.P. & Hall, P. 1991 “Vortex instabilities in three—dimensional boundary layers: The relationship between Görtler and Cross-flow vortices” J. Fluid Mech. 232, 647
Bassom, A. P. & Otto, S. R. 1993 “Weakly nonlinear stability of viscous vortices in three—dimensional boundary layers” J. Fluid Mech. 249, 185
Bertolotti, F. P. 1991 “Linear and Nonlinear Stability of Boundary Layers with Streamwise Varying Properties” PhD Thesis, The Ohio State University
Goldstein, S. 1948 “On laminar boundary layer flow near a position of separation” Q. J. Mech. 1, 43
Hall, P. 1982 “Taylor—Görtler vortices in fully developed or boundary layer flows” J. Fluid Mech.124, 475
Hall, P. 1983 “The linear development of Görtler vortices in growing boundary layers” J. Fluid Mech. 130, 597
Hall, P. 1985 “The Görtler vortex instability mechanism in three—dimensional boundary layers” Proc. Roy. Soc. Lond. A 399, 135
Otto, S. R. & Bassora, A. P. 1993 “The effect of crossflow on Taylor vortices” Quart. J. Mech. Appl. Math. (in press)
Zurigat, H. & Malik, M. R. 1993 Private communication.
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© 1994 Springer Science+Business Media Dordrecht
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Otto, S.R., Denier, J.P. (1994). Concerning the Effect of Crossflow on the Stability of Görtler Vortices. In: Hussaini, M.Y., Gatski, T.B., Jackson, T.L. (eds) Transition, Turbulence and Combustion. ICASE/LaRC Interdisciplinary Series in Science and Engineering, vol 2&3. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1032-7_19
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DOI: https://doi.org/10.1007/978-94-011-1032-7_19
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