Taylor instability of finite surface waves

Author:

Emmons H. W.,Chang C. T.,Watson B. C.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference10 articles.

1. 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.

2. 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.

3. Carrier, G. F. 1953 On Taylor instability with large motions. Un-numbered report Los Alamos Scientific Laboratory of the University of California .

4. Bellman, R. & Pennington, R. H. 1954 Effects of surface tension and viscosity on Taylor instability.Quart. J. Appl. Math. 12,151.

5. Allred, J. & Blount, G. 1953 Experimental studies of Taylor instability. Report Los Alamos Scientific Laboratory of the University of California, no. LA-1600.

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