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The buckling of thin viscous jets

Published online by Cambridge University Press:  29 March 2006

J. Buckmaster
J. Buckmaster
Affiliation:
Department of Engineering and Applied Science, Yale University, New Haven, Connecticut
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Abstract

Thin viscous jets are considered as they slowly fall, in a state of near-neutral buoyancy, through a liquid. An equation is derived which describes the path of the jet. A small perturbation analysis of nearly vertical jets is carried out, and shows that they are necessarily unstable and will eventually deviate significantly from the vertical. Numerical integration of the nonlinear equation describes the nature of this deviation. These results model some experimental observations made by Taylor (1969).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 61 , Issue 3 , 20 November 1973 , pp. 449 - 463
Copyright
© 1973 Cambridge University Press

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References

Love, A. E. H. 1944 The Mathematical Theory of Elasticity. Dover.
Taylor, G. I. 1969 Proc. 12th Int. Congr. Appl. Mech. (Stanford, 1968), p. 382. Springer.
Van Dyke, M. 1969 Annual Review of Fluid Mechanics, vol. 1, p. 265. Annual Reviews Inc.