On three-dimensional rotating polymeric fiber jets with gravity effect

Abstract

We consider rotationally driven three-dimensional nonlinear polymeric fiber jets with the effect of gravity force. We implement an empirical viscosity model for the polymeric fluid of such flows to investigate the properties of the three-dimensional polymeric fiber jets generated by the imposed rotational forces. We apply theoretical and numerical techniques to determine the expressions for the leading order nonlinear solutions for the jet quantities such as radius, speed, stretching rate, strain rate and jet centerline versus arc length, and we calculate these quantities for different values of the parameters that represent the effects due to gravity, rotation, viscosity, surface tension and relaxation time. We find, in particular, that three-dimensionality of the jet system and the presence of the gravity force on the curved polymeric fiber jet can be significant in the sense that the values of the jet speed, strain rate, stretching rate and the centerline curvature are notably raised up and the jet radius size is notably dropped down and more so with increasing the arc length and the parameters due to gravity, rotation and the relaxation time of the polymeric jet.