Linear instability of a charged non-Newtonian liquid jet under an axial electric field

摘要

A theoretical model is established to study the breakup of a charged power law liquid jet, which is moving in stationary air. Furthermore, the effect of a uniform axial electric field is considered in this mathematical model. The liquid non-Newtonian behavior is explained by the power law model, which is assumed to be a Taylor-Melcher leaky dielectric material in this case. The corresponding dispersion relation is derived through a linear analysis. Besides, the effects of the axial electric field with a low and a high density of surface charge, the asymmetric disturbances, and relaxation time on the charged power law liquid jet instability are investigated. Results show that the effects of the axial electric field intensity on the charged power law liquid jet are different when the density of charge on the liquid surface is set as low and high. Besides, the asymmetric disturbances dominate the jet instability when the charge density is set as low, and the axisymmetric disturbance dominates the jet instability when the surface charge density is set as high. The flow model in this paper can be used for designing and operating the electrospraying and spinning systems. Published under license by AIP Publishing.