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Steady long slender droplets in two-dimensional straining motion

Published online by Cambridge University Press:  19 April 2006

E. J. Hinch  and
A. Acrivos
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
A. Acrivos
Affiliation:
Department of Chemical Engineering, Stanford University, Stanford, California 94305
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Abstract

The recent analysis by Acrivos & Lo (1978) concerning the breakup of a long slender droplet in an axisymmetric straining motion is extended to the case of a two-dimensional hyperbolic flow. It is found that, although the cross-section of the droplet becomes significantly non-circular, the theoretical criterion for breakup is effectively the same as in the axisymmetric case. The theoretical predictions are in good agreement with the available experimental results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 91 , Issue 3 , 11 April 1979 , pp. 401 - 414
Copyright
© 1979 Cambridge University Press

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References

Acrivos, A. & Lo, T. S. 1978 Deformation and breakup of a single slender drop in an extensional flow. J. Fluid Mech. 86, 641.Google Scholar
Barthès-Biesel, D. & Acrivos, A. 1973 Deformation and burst of a liquid droplet freely suspended in a linear shear field. J. Fluid Mech. 61, 1.Google Scholar
Buckmaster, J. 1972 Pointed bubbles in slow viscous flow. J. Fluid Mech. 55, 385.Google Scholar
Buckmaster, J. 1973 The bursting of pointed drops in slow viscous flow. J. Appl. Mech. E 40, 18.Google Scholar
Cox, R. G. 1969 The deformation of a drop in a general time-dependent fluid flow. J. Fluid Mech. 37, 601.Google Scholar
Grace, H. P. 1971 Dispersion phenomena in high viscosity immiscible fluid systems. Engng Found. 3rd Res. Conf. Mixing, Andover, New Hampshire.
Taylor, G. I. 1932 The viscosity of a fluid containing small drops of another fluid. Proc. Roy. Soc. A 138, 41.Google Scholar
Taylor, G. I. 1934 The formation of emulsions in definable fields of flow. Proc. Roy. Soc. A 146, 501.Google Scholar
Taylor, G. I. 1964 Conical free surfaces and fluid interfaces. Proc. 11th Int. Cong. of Applied Mech., Munich.
Torza, S., Cox, R. G. & Mason, S. G. 1972 Particle motion in sheared suspensions XXVII. Transient and steady deformation and burst of liquid drops. J. Colloid Interface Sci. 38, 395.Google Scholar
Yu, K. L. 1974 Ph.D. thesis, University of Houston.