Pengtao Yue, James J. Feng, Chun Liu & Jie Shen
Phys. Fluids 17, 123101 (2005)
Abstract - Recent experiments show that upon
abrupt start of a shear flow, a suspended drop undergoes an overshoot
and undershoot in deformation if either the drop or the matrix is a
polymeric fluid. Using a diffuse-interface formulation in two
dimensions, we carry out numerical simulations that trace the origin of
the transient to the mismatch of two time scales: a capillary time for
drop deformation and a relaxation time for the polymers in the
viscoelastic component. The results are in qualitative agreement with
experiments.