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Breakup of a laminar capillary jet of a viscoelastic fluid

Published online by Cambridge University Press:  29 March 2006

Michael Goldin
Affiliation:
The City College of the City University of New York, New York 10031, U.S.A.
Joseph Yerushalmi
Affiliation:
The City College of the City University of New York, New York 10031, U.S.A.
Robert Pfeffer
Affiliation:
The City College of the City University of New York, New York 10031, U.S.A.
Reuel Shinnar
Affiliation:
The City College of the City University of New York, New York 10031, U.S.A.

Abstract

The stability of non-Newtonian jets was investigated. A linearized stability analysis shows that a liquid column of a viscoelastic fluid exhibits more rapid growth of axisymmetric wave disturbances than a Newtonian fluid of the same zero shear viscosity. This result is independent of the form of constitutive equation chosen. Experiments in weakly elastic fluids confirm this expectation, whereas data on fluids with more pronounced elastic properties indicate that non-linear phenomena are dominating. The disturbances appear as a series of droplets connected by random lengths of threads, which thin with distance and eventually lead to jet breakup. Even in dilute viscoelastic solutions, jet breakup does not occur by the growth of clearly defined waves.

Type
Research Article
Copyright
© 1969 Cambridge University Press

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References

Gregory, R. W. & Paidoussis, M. P. 1966 Proc. Roy. Soc. A, 293, 512.
Lamb, H. 1945 Hydrodynamics, 6th ed. New York: Dover.
Luke, Y. L. 1962 Integrals of Bessel Functions. New York: McGraw-Hill.
Paidoussis, M. P. 1966a J. Fluid Mech. 26, 717.
Paidoussis, M. P. 1966b J. Fluid Mech. 26, 737.
Taylor, G. I. 1952 Proc. Soc. Roy. A, 214, 158.