Hostname: page-component-848d4c4894-4hhp2 Total loading time: 0 Render date: 2024-06-01T18:37:15.206Z Has data issue: false hasContentIssue false
  • English
  • Français

Non-parallel flow corrections for the stability of shear flows

Published online by Cambridge University Press:  29 March 2006

Chi-Hai Ling  and
W. C. Reynolds
Chi-Hai Ling
Affiliation:
Stanford University Present address: Department of Oceanography, University of Washington, Seattle Washington.
W. C. Reynolds
Affiliation:
Stanford University
Get access Rights & Permissions [Opens in a new window]

Abstract

The proper corrections for non-parallel flow to the eigenvalues for small disturbances on a nearly parallel shear flow have been determined through a perturbation about the parallel flow solutions. The resulting shifts in the neutral stability curves have been calculated for the Blasius boundary layer, for the two-dimensional jet, and for the two-dimensional flat-plate wake.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 59 , Issue 3 , 17 July 1973 , pp. 571 - 591
Copyright
© 1973 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. & Ross, M. A. 1970 J. Fluid Mech. 43, 813.
Batchelor, G. K. 1967 An Introduction to Fluid Mechanics. Cambridge University Press.
Benny, D. J. & Rosenblat, S. 1964 Phys. Fluids, 7, 1385.
Cheng, S. I. 1953 Quart. Appl. Math. 11, 346.
Ko, S. H. & Lessen, M. 1969 Phys. Fluids, 12, 2270.
Lanchon, H. & Eckhaus, W. 1964 J. de Mécanique, 3, 445.
Lee, L. H. & Reynolds, W. C. 1967 Quart. J. Mech. Appl. Math. 20, 1.
Lin, C. C. 1955 The Theory of Hydrodynamic Stability. Cambridge University Press.
Ling, C. H. & Reynolds, W. C. 1971 Thermosciences Division, Department of Mechanical Engineering, Stanford University, Tech. Rep. FM8.
Reynolds, W. C. 1969 Thermosciences Division, Department of Mechanical Engineering, Stanford University, Tech. Rep. FM4.
Reynolds, W. C. & Potter, M. C. 1967 J. Fluid Mech. 27, 465.
Ross, J. A., Barnes, F. H., Burns, J. G. & Ross, M. A. 1970 J. Fluid Mech. 43, 819.
Schlichting, H. 1968 Boundary Layer Theory (6th edn.). McGraw-Hill.
Schubauer, G. B. & Skramstad, H. K. 1947 J. Aero. Sci. 14, 69.
Stuart, J. T. 1960 J. Fluid Mech. 9, 353.
Tatsumi, T. & Kakutani, T. 1958 J. Fluid Mech. 4, 261.
Van Dyke, M. 1964 Perturbation Method in Fluid Mechanics. Academic.