Dynamics of Bead Formation, Filament Thinning, and Breakup in Weakly Viscoelastic Jets

By A. M. Ardekani, V. Sharma, G. H. McKinley

The spatiotemporal evolution of a viscoelastic jet depends on the relative magnitude of capillary, viscous, inertial and elastic stresses. The interplay of capillary and elastic
stresses leads to formation of very thin and stable filaments between drops, or to ‘beadson-a-string’ structure.We show that by understanding the physical processes that control
different stages of the jet evolution it is possible to extract transient extensional viscosity information even for very low viscosity and weakly-elastic liquids which is a particular
challenge using traditional rheometers. The parameter-space at which a forced jet can be used as an extensional rheometer is numerically investigated using a one-dimensional
nonlinear free surface theory for Oldroyd-B and Giesekus fluids. The results show that even when the ratio of viscous to inertio-capillary time scales (or Ohnesorge number) is
as low as Oh ∼ 0.02, the temporal evolution of the jet can be used to obtain elongational properties of the liquid.