In this article we report experimental results on the deformation and
the critical breakup conditions of a single drop in a medium under sim
ple shear flow. The role played by both drop and matrix elasticities i
s quantified by using constant viscosity elastic (Boger) fluids. The e
xperiments were conducted using two transparent parallel disks mounted
on a R-18 Weissenberg rheogoniometer. The critical shear rate was det
ermined by imposing successive small changes in shear rate from lower
to higher values until the drop breakup was observed. The results show
remarkable differences in the mode of deformation and breakup for New
tonian and elastic fluid systems. It is also found that the drop resis
tance to deformation and breakup increases with increasing elasticity
ratio. The contribution of the drop and matrix elasticities is quantif
ied by using an empirical relation established between the drop deform
ation and the capillary number, Ca. The critical breakup conditions, s
uch as a dimensionless breakup time, t(b), and a critical capillary n
umber, Ca-c, are determined as a function of the drop/matrix elasticit
y ratio, k'. The values of Ca, and t(b) are found to increase with in
creasing k'. (C) 1998 The Society of Rheology. [S0148-6055(98)00106-0]
.