Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-18T14:45:08.065Z Has data issue: false hasContentIssue false
  • English
  • Français

A non-linear theory for oscillations in a parallel flow

Published online by Cambridge University Press:  28 March 2006

D. J. Benney
D. J. Benney
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology
Get access Rights & Permissions [Opens in a new window]

Abstract

Three-dimensional periodic oscillations in the shear flow region between two parallel streams are considered up to that second order of the oscillation amplitude. It is shown that, as an integral part of the oscillation, there is a mean secondary flow in the nature of a longitudinal vortex. Despite the dissimilarity in the profile of the basic flows, several of the principal features of the calculated results can be compared with those observed for the Blasius flow by Schubauer and Klebanoff & Tidstrom at the National Bureau of Standards.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 10 , Issue 2 , March 1961 , pp. 209 - 236
Copyright
© 1961 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

Benney, D. J. & Lin, C. C. 1960 Phys. Fluids, 3, 656.
Curle, N. 1956 Aero. Res. Coun. 18, 426.
Drazin, P. G. 1958 J. Fluid Mech. 4, 214.
Esch, R. E. 1957 J. Fluid Mech. 3, 289.
Görtler, H. & Witting, H. 1957 Boundary Layer Research Symposium, Freiburg, p. 110.
Klebanoff, P. S. & Tidstrom, K. D. 1958 Nat. Bur. Stand. Rep. 5741.
Landau, L. 1944 C.R. Acad. Sci., U.R.S.S., 44, 311.
Langer, R. E. 1949 Trans. Amer. Math. Soc. 67, 461.
Lin, C. C. 1955 Hydrodynamic Stability. Cambridge University Press.
Lin, C. C. 1957 Boundary Layer Resarch Symposium, Freiburg, p. 144.
Meksyn, D. & Stuart, J. T. 1951 Proc. Roy. Soc. A, 208, 517.
Schubauer, G. B. 1957 Boundary Layer Research Symposium, Freiburg, p. 85.
Schubauer, G. B. & Skramstead, H. K. 1948 NACA Rep. 909.
Squire, H. B. 1933 Proc. Roy. Soc. A, 142, 621.
Stuart, J. T. 1958 J. Fluid Mech. 4, 1.
Stuart, J. T. 1959 Aero. Res. Coun. 21, 188.
Theodorsen, T. 1952 Proc. 2nd Midwest Conf. on Fluid Mech., Ohio.