Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-18T17:49:49.573Z Has data issue: false hasContentIssue false
  • English
  • Français

On the stability of a shear layer

Published online by Cambridge University Press:  28 March 2006

J. Menkes
J. Menkes
Affiliation:
California Institute of Technology, Jet Propulsion Laboratory
Get access Rights & Permissions [Opens in a new window]

Abstract

The effects of density variation in the absence of gravity on the stability of a horizontal shear layer between two streams of uniform velocities is investigated. The density is assumed to decrease exponentially with height and the velocity is represented by U(y) = tanh y.

The method of small disturbances is employed to obtain the neutral stability curve. It is demonstrated that disturbances with wave-numbers larger than the width of the transition layer are attenuated.

Qualitative agreement with experimental evidence is obtained.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 6 , Issue 4 , November 1959 , pp. 518 - 522
Copyright
© 1959 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

Blackshear, P. 1957 NACA TN 3830.
Drazin, P. G. 1958 J. Fluid Mech. 4, 214.
Goldstein, S. 1931 Proc. Roy. Soc. A, 132, 524.
Lees, L. & Lin, C. C. 1946 NACA TN 1115.
Lin, C. C. 1955 The Theory of Hydrodynamic Stability. Cambridge University Press.
Morse, P. & Feshbach, H. 1953 Methods of Theoretical Physics. New York: McGraw-Hill.
Taylor, G. I. 1931 Proc. Roy. Soc. A, 132, 499.