Hostname: page-component-848d4c4894-wg55d Total loading time: 0 Render date: 2024-05-01T05:55:57.010Z Has data issue: false hasContentIssue false

Experimental and theoretical investigation of the stability of air flow over a water surface

Published online by Cambridge University Press:  28 March 2006

A. K. Gupta
Affiliation:
Massachusetts Institute of Technology, Cambridge, Massachusetts Present address: University of Southern California, Los Angeles, California.
M. T. Landahl
Affiliation:
Massachusetts Institute of Technology, Cambridge, Massachusetts Present address: Royal Institute of Technology, Stockholm, Sweden.
E. L. Mollo-Christensen
Affiliation:
Massachusetts Institute of Technology, Cambridge, Massachusetts

Abstract

An experimental investigation of the instability of a laminar air flow over water shows two distinct modes of unstable oscillations as predicted by theory. The Tollmien–Schlichting waves instability could be excited by a ribbon vibrating in the air, and the neutral stability curve determined. The water wave instability mode could be excited by a ribbon vibrating in the water. The growth rates of these waves show only fair agreement with theoretical predictions.

Type
Research Article
Copyright
© 1968 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

Benjamin, T. B. 1960 J. Fluid Mech. 9, 513.
Fisher, D. H. & Blick, E. B. 1966 J. Aircraft, 3, 163.
Gaster, M. 1962 J. Fluid Mech. 14, 222.
Hains, F. D. & Price, J. F. 1962 Phys. Fluids, 5, 365.
Kaplan, R. E. 1964 The Stability of Laminar Incompressible Boundary Layers in the Presence of Compliant Boundaries. ASRL TR116-1, MIT
Kramer, M. O. 1960 J. Aero. Sci. 27, 68.
Lamb, H. 1932 Hydrodynamics. New York: Dover.
Landahl, M. T. 1962 J. Fluid Mech. 13, 609.
Landahl, M. T. 1966 A Time-Shared Program System for the Solution of the Stability Problem for Parallel Flows over Rigid or Plane Surfaces. MIT ASRL Rept. 116–4.Google Scholar
Lighthill, M. J. 1962 J. Fluid Mech. 14, 3, 385398.
Lock, R. C. 1951 Quart. J. Mech. Appl. Math. 4, 42.
Lock, R. C. 1954 Proc. Camb. Phil. Soc. 50, 105.
Miles, J. W. 1957 J. Fluid Mech. 3, 185.
Miles, J. W. 1962 J. Fluid Mech. 13, 433.
Schlichting, H. 1955 Boundary Layer Theory. New York: Pergammon Press.
Schubauer, G. B. & Skramstad, H. K. 1948 NACA Rept. no. 909.