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The evolution of slender inviscid drops in an axisymmetric straining flow

Published online by Cambridge University Press:  19 April 2006

E. J. Hinch
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

The evolution of the shape of a slender inviscid drop in an axisymmetric straining motion is studied at low Reynolds numbers. It is found that the shape equation can be solved by polynommals with time-dependent coefficients. A global stability result can be used to show simply that only one possible equilibrium is stable. It is further shown that if the slender drop starts with a long-wavelength waist then it cannot go to this stable equilibrium and must either extend indefinitely or burst. In the class of trinomial shapes, it is shown that the drop either bursts or goes to the stable equilibrium, depending on whether or not the initial shape has a waist.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 101 , Issue 3 , 11 December 1980 , pp. 545 - 553
Copyright
© 1980 Cambridge University Press

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References

Acrivos, A. & Lo, T. S. 1978 J. Fluid Mech. 86, 641.
Brady, J. 1980 Ph.D. thesis, Stanford.
Buckmaster, J. 1972 J. Fluid Mech. 55, 385.
Buckmaster, J. 1973 J. Appl. Mech. E40, 18.
Hinch, E. J. & Acrivos, A. 1979 J. Fluid Mech. 91, 401.
Hinch, E. J. & Acrivos, A. 1980 J. Fluid Mech. 98, 305.
Taylor, G. I. 1934 Proc. Roy. Sac. A 146, 501.
Taylor, G. I. 1964 Proc. 11th Int. Cong. of Appl. Mech., Munich.
Torza, S., Cox, R. G. & Mason, S. G. 1972 J. Coll. Interface Sci. 38, 395.