Temporal instability of charged viscoelastic liquid jets under an axial electric field

Effect of an axial electric field on the breakup of a leaky-dielectric liquid filament

“…Mestel [23] showed that all axisymmetric temporal modes can be stabilized for suitable values of the electric field and charges carried by a viscous jet. Carroll and Joo [24] and Xie et al [25] obtained similar results for a viscoelastic jet. Rubio et al [26] have recently analyzed the elasto-capillary regime arising during the breakup of an electrified viscoelastic liquid bridge with low conductivity.…”

Breakup of an electrified viscoelastic liquid bridge

“…The major contribution to that integration comes from the elastic and capillary forces at the ends of the filament. It is worth mentioning that, under certain conditions, the electrical shear force enhances the asymmetric instability over the varicose mode in low-conductivity viscoelastic jets, which causes the bending motion in many experimental observations of electrospinning [65,66]. The polarization force is smaller than the shear electric force in the elasto-capillary regime.…”

Absolute instability of free-falling viscoelastic liquid jets with surfactants

“…A comparison between the theoretical prediction and the experimental results observed by Si et al 36 indicates that the results of spatial instability are better aligned with experiments than the analysis of the temporal instability, especially for moderate to high Weber numbers. 37 In this section, following Keller, Rubinow, and Tu, 34 we consider a wave mode of the form exp(ikz − iωt), but in this case, k is assumed to be complex and ω is the real frequency of the wave mode. For unstable disturbances, we require Im(k) < 0 where the most negative number gives the maximum value of the spatial growth rate.…”