Hostname: page-component-7dd5485656-gs9qr Total loading time: 0 Render date: 2025-10-30T01:31:50.686Z Has data issue: false hasContentIssue false
  • English
  • Français

Taylor instability of finite surface waves

Published online by Cambridge University Press:  28 March 2006

H. W. Emmons ,
C. T. Chang  and
B. C. Watson
H. W. Emmons
Affiliation:
Harvard University, Cambridge, Mass.
C. T. Chang
Affiliation:
Harvard University, Cambridge, Mass.
B. C. Watson
Affiliation:
Harvard University, Cambridge, Mass.
Get access Rights & Permissions [Opens in a new window]

Abstract

The instability of the accelerated interface between a liquid (methanol or carbon tetrachloride) and air has been investigated experimentally for approximate sinusoidal disturbances of wave-number range from well below to well above the cut-off. The growth rates are measured and compared with theoretical results. A third-order theory shows the phenomena of overstability which is found in the experimental results. Some measurements of later stages of growth agree moderately well with the available theory and disclose some additional phenomena of bubble competition, Helmholtz instability with transition to turbulence, and jet instability with production of drops.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 7 , Issue 2 , February 1960 , pp. 177 - 193
Copyright
© 1960 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.)

Article purchase

Temporarily unavailable

References

Allred, J. & Blount, G. 1953 Experimental studies of Taylor instability. Report Los Alamos Scientific Laboratory of the University of California, no. LA-1600.
Bellman, R. & Pennington, R. H. 1954 Effects of surface tension and viscosity on Taylor instability. Quart. J. Appl. Math. 12, 151.Google Scholar
Birkhoff, G. 1954 Taylor instability and laminar mixing. Report Los Alamos Scientific Laboratory of the University of California, no. LA-1862.
Carrier, G. F. 1953 On Taylor instability with large motions. Un-numbered report Los Alamos Scientific Laboratory of the University of California.
Davies, R. M. & Taylor, G. I. 1950 The mechanics of large bubbles rising through extended liquids and through liquids in tubes. Proc. Roy. Soc. A, 200, 375.Google Scholar
Garabedian, P. R. 1957 On steady state bubbles generated by Taylor instability. Applied Mathematics and Statistics Laboratory, Stanford University, Tech. Rep. no. 59.
Ingraham, R. L. 1954 Taylor instability of the interface between superposed fluids. Proc. Phys. Soc. Lond. B, 67, 748–52.Google Scholar
Lewis, D. J. 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. II. Proc. Roy. Soc. A, 202, 81–96.Google Scholar
Pennington, R. et al. 1953 Machine calculation of the growth of Taylor instability in an incompressible fluid. Project Matterhorn Report, no. PNJ-LA-11, p. 659.
Taylor, G. I. 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I. Proc. Roy. Soc. A, 201, 192–6.Google Scholar