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Fall and rise of a viscoelastic filament

Published online by Cambridge University Press:  01 September 2006

ANSHUMAN ROY ,
L. MAHADEVAN  and
JEAN-LUC THIFFEAULT
ANSHUMAN ROY
Affiliation:
Department of Chemical Engineering, University of Michigan, Ann Arbor, MI 48109, USA
L. MAHADEVAN
Affiliation:
Division of Engineering & Applied Sciences, Harvard University, Cambridge, MA 02138, USA
JEAN-LUC THIFFEAULT
Affiliation:
Department of Mathematics, Imperial College London, SW7 2AZ, UK
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Abstract

When a viscoelastic fluid blob is stretched out into a thin horizontal filament, it sags and falls gradually under its own weight, forming a catenary-like structure that evolves dynamically. If the ends are brought together rapidly after stretching, the falling filament tends to straighten by rising. These two effects are strongly influenced by the elasticity of the fluid and yield qualitatively different behaviours from the case of a purely viscous filament analysed previously (Teichman & Mahadevan, J. Fluid Mech. vol. 478, 2003, p. 71). Starting from the bulk equations for the motion of a viscoelastic fluid, we derive a simplified equation for the dynamics of a viscoelastic filament and analyse this equation in some simple settings to explain our observations.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 563 , 25 September 2006 , pp. 283 - 292
Copyright
© 2006 Cambridge University Press

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