Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-28T20:04:52.258Z Has data issue: false hasContentIssue false
  • English
  • Français

Non-parallel stability of a flat-plate boundary layer using the complete Navier-Stokes equations

Published online by Cambridge University Press:  26 April 2006

H. Fasel  and
U. Konzelmann
H. Fasel
Affiliation:
Institut A für Mechanik, Universität Stuttgart, Stuttgart, FRG
U. Konzelmann
Affiliation:
Institut A für Mechanik, Universität Stuttgart, Stuttgart, FRG
Get access Rights & Permissions [Opens in a new window]

Abstract

Non-parallel effects which are due to the growing boundary layer are investigated by direct numerical integration of the complete Navier-Stokes equations for incompressible flows. The problem formulation is spatial, i.e. disturbances may grow or decay in the downstream direction as in the physical experiments. In the past various non-parallel theories were published that differ considerably from each other in both approach and interpretation of the results. In this paper a detailed comparison of the Navier-Stokes calculation with the various non-parallel theories is provided. It is shown, that the good agreement of some of the theories with experiments is fortuitous and that the difference between experiments and theories concerning the branch I neutral location cannot be explained by non-parallel effects.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 221 , December 1990 , pp. 311 - 347
Copyright
© 1990 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Barry, M. D. J. & Ross, M. A. S. 1970 J. Fluid Mech. 43, 813.
Bestek, H.: 1980 Numerische Untersuchungen zur nichtlinearen räumlichen Störungsanfachung in der ebenen Poiseuille-Strömung. Dissertation. Universität Stuttgart.
Bouthier, M.: 1972 Méc. 11, 599.
Bouthier, M.: 1973 J. Méc. 12, 75.
Bridges, T. J. & Morris, P. J., 1987 Phys. Fluids 30, 3351.
Fasel, H.: 1974 Untersuchungen zum Problem des Grenzschichtumschlages durch numerische Integration der Navier-Stockes Gleichungen. Dissertation, Universität Stuttgart.
Fasel, H.: 1976 J. Fluid Mech. 78, 355.
Fasel, H.: 1979 Numerische Simulation inkompressibler viskoser Strömungen. Habilitationsschrift. Universität Stuttgart.
Gaster, M.: 1962 J. Fluid Mech. 14, 222.
Gaster, M.: 1965 Prog. Aerospace Sci. 6, 2510.
Gaster, M.: 1974 J. Fluid Mech. 66, 465.
Heisenberg, W.: 1924 Annln Phys. 74, 577.
Hoeptner, C. P.: 1981 Nichtlineare Behandlung von Tollmien-Schlichting-Wellen durch numerische Simulation. Diplomarbeit. Universität Stuttgart.
Jordinson, R.: 1970 J. Fluid Mech. 43, 801.
Kachanov, Yu. S., Kozlov, V. V. & Levchenko, V. Y., 1979 Fluid Mech. Sov. Res. 8, 152.
Konzelmann, U.: 1983 Nichtlineare Wellenausbreitung in einer Grentschichtströmung (numerische Untersuchung). Diplomarbeit. Universität Stuttgart.
Konzelmann, U., Rist, U. & Fasel, H., 1987 Z. angew. Math. Mech. 67, T298.
Nummerer, H.: 1973 Numerische Untersuchungen zur Stabilität ebener laminarer Grenzschichtströmungen. Dissertation. Universität Stuttgart.
Lanchon, H. & Eckhaus, W., 1964 J. Méc. 3, 445.
Liepmann, H. W., Brown, G. L. & Nosenchuck, D. M., 1982 J. Fluid Mech. 118, 187.
Liepmann, H. W. & Nosenchuck, D. M., 1982 J. Fluid Mech. 118, 201.
Ling, C. H. & Reynolds, W. C., 1973 J. Fluid Mech. 59, 571.
Roache, P. J.: 1982 Computational Fluid Dynamics. Hermosa, Albuquerque.
Ross, J. A., Barnes, F. H., Burns, J. G. & Ross, M. A. S. 1970 J. Fluid Mech. 43, 819.
Saric, W. S. & Nayfeh, A. H., 1975 Phys. Fluids 18, 945.
Saric, W. S. & Nayfeh, A. H., 1977 AGARD Conf. Proc. 224, 6.1.
Schlichting, H.: 1933 Z. angew. Math. Mech. 13, 171.
Schubauer, G. B. & Skramstad, H. K., 1947 J. Aeronaut. Sci. 14, 69.
Smith, A. M. O. & Gamberoni, N. 1956 Douglas Aircraft Co. Rep. ES 26388, El Segundo, California.
Smith, F. T.: 1979 Proc. R. Soc. Lond. A 366, 91.
Tollmien, W.: 1929 Nachr. Ges. Wiss. Göttigen, Math. Phys. Klasse, p. 21.
Van Ingen, J. L. 1956 Univ. of Technology, Dept of Aero. Engng Rep. UTH-74, Delft.
Van Stijn, Th. L. & Van De Vooren, A. I. 1983 Computers Fluids 10, 223.
Volodin, A. G.: 1973 Izv. Sib. Otd. Akad. Nauk SSSR 2, 13.