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Numerical simulation of interactions between Görtler vortices and Tollmien–Schlichting waves

Published online by Cambridge University Press:  26 April 2006

M. R. Malik  and
M. Y. Hussaini
M. R. Malik
Affiliation:
High Technology Corporation, P.O. Box 7262, Hampton, Virginia 23666, USA
M. Y. Hussaini
Affiliation:
ICASE, NASA Langley Research Center, Hampton, Virginia 23665, USA
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Abstract

The problem of nonlinear development of Gortler vortices and interaction with Tollmien–Schlichting waves is considered within the framework of incompressible Navier–Stokes equations which are solved by a Fourier–Chebyshev spectral method., It is shown that two-dimensional waves can be excited in the flow modulated by Gortler vortices. Owing to nonlinear effects, this interaction further leads to the development of oblique waves with spanwise wavelength equal to the Görtler vortex wavelength. Interaction is also considered of oblique waves with spanwise wavelength twice that of Gortler vortices.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 210 , January 1990 , pp. 183 - 199
Copyright
© 1990 Cambridge University Press

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References

Aihara, Y. & Koyama, H. 1981 Trans. Japan Soc. Aero. Space Sci. 24, 78.
Bippes, H. 1978 NASA TN-75243.
Canuto, C., Hussaini, M. Y., Quarteroni, A. & Zang, T. A. 1988 Spectral Methods in Fluid Dynamics. Springer.
Floryan, J. M. & Saric, W. C. 1980 AIAA Paper 80-1376.
Hall, P. 1983 J. Fluid Mech. 130, 41.
Hall, P. & Smith, F. T. 1988 Proc. R. Soc. Lond. A417, 244.
Herbert, T. 1984 AIAA Paper 84-0009.
Herbert, T. & Morkovin, M. V. 1979 Laminar—Turbulent Transition (ed. R. Eppler & H. Fasel), p. 37. Springer.
Malik, M. R. 1986 AIAA Paper 86-1129.
Malik, M. R., Chuang, S. & Hussaini, M. Y. 1982 Z. Angew. Math. Phys. 33, 189.
Malik, M. R., Zang, T. A. & Hussaini, M. Y. 1985 J. Comput. Phys. 61, 64.
Nayfeh, A. H. 1981 J. Fluid Mech. 107, 441.
Nayfeh, A. H. & Al-Maaitah, A. 1987 AIAA Paper 87-1206.
Nayfeh, A. H. & Al-Maaitah, A. 1988 Phys. Fluids 31, 3543.
Ragab, S. A. & Nayfeh, A. H. 1981 Phys. Fluids 24, 1405.
Spalart, P. R. 1985 9th Intl Conf. on Numer. Meth. in Fluid Dynamics (ed. Soubbarameyer & J. P. Boujot), p. 531. Springer.
Srivastava, K. M. & Dallmann, U. 1987 Phys. Fluids 30, 1005.
Swearingen, J. D. & Blackwelder, R. F. 1987 J. Fluid Mech. 182, 255.
Wray, A. & Hussaini, M. Y. 1984 Proc. R. Soc. Lond. A 392, 373
Zang, T. A. & Hussaini, M. Y. 1985 AIAA Paper 85-0296.