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.

我们考虑在重力作用下旋转驱动的三维非线性聚合物纤维射流。我们对此类流动的聚合物流体实施经验粘度模型，以研究由施加的旋转力产生的三维聚合物纤维射流的特性。我们应用理论和数值技术来确定射流量（例如半径，速度，拉伸率，应变率和射流中心线与弧长对弧长）的非线性非线性解的表达式，并针对参数的不同值计算这些量代表由于重力，旋转，粘度，表面张力和松弛时间而产生的影响。我们特别发现