Simulation of stretch in non-uniform filaments.

Peter Szabo, Christian Clasen, Gareth H. McKinley

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We consider the rapid stretching of a liquid lament under the action of a constant imposed
tensile force. This problem was rst considered experimentally by Matta and Tytus (1990). A
liquid bridge formed from a dilute polymer solution is established between two cylindrical disks.
The upper disk is held xed while the lower cylinder falls due to gravity.
With this constant force pull (CFP) technique it is possible to impose very large material
strains and strain rates so that the maximum extensibility of the polymer molecules may be
quantied. This characteristic of the experiment is analyzed numerically using FENE type
models and two alternative kinematic descriptions. The axisymmetric lament is described by a
Lagrangian approach based on an average stretch of axial elements (see Renardy (1990)). A noslip
boundary condition is imposed indirectly at the end-plates according to a method described
by Tuck et al. (2000). An alternative uniform lament description is developed and compared
to the more accurate Lagrangian model. The agreement between the two numerical techniques
is evaluated in the time domain as well as in terms of Hencky strain.
Original languageEnglish
Publication date2012
Number of pages1
Publication statusPublished - 2012
Event17th International Workshop on Numerical Methods for Non-Newtonian Flows - Castle, Blois, France
Duration: 25 Mar 201228 Mar 2012
Conference number: 17


Workshop17th International Workshop on Numerical Methods for Non-Newtonian Flows
Internet address


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