We consider forcespinning (FS) of nonlinear three-dimensional rotating viscoelastic jets of Boger fluids and in the presence of gravity effect. In FS process, a fluid jet is forced through an orifice of a rotating spinneret leading to the formation of a curved jet. Applying the upper-convected Maxwell constitutive model for the stress tensor part of the governing non-Newtonian jet system and using scaling and perturbation methods, we develop a model for the jet system. We determine the nonlinear solutions for the jet quantities such as the radius, speed, stretching force, compressive force, tensile force and the jet centerline, and we calculate these quantities for different values of the jet arc length and the parameters representing rotation, viscoelasticity, gravity, surface tension and polymer viscosity. We find that the effects of rotation, relaxation time, gravity and three-dimensionality of the modeling system on the jet of Boger fluid can be significant. Beyond a very short distance from the jet exit, the jet speed, tensile force, stretching force and the jet curvature are notably increased and the jet radius is much reduced with increasing the viscoelasticity, rotation rate and the jet arc length. Strong tensile force or stretching force corresponds to weak compressive force and very thin jet of Boger fluid.

我们考虑Boger流体的非线性三维旋转粘弹性射流的力旋（FS），并且存在重力效应。在FS过程中，迫使流体射流通过旋转喷丝板的孔，从而形成弯曲射流。将上部对流的麦克斯韦本构模型应用于控制非牛顿射流系统的应力张量部分，并使用缩放和摄动方法，开发了射流系统模型。我们确定喷射量的非线性解，例如半径，速度，拉伸力，压缩力，拉力和喷射中心线，然后针对喷射弧长度的不同值以及代表旋转，粘弹性，重力，表面张力和聚合物粘度。我们发现旋转的影响 博格流体射流上的建模系统的弛豫时间，重力和三维度可能很重要。除了与射流出口的距离非常短之外，随着粘弹性，旋转速率和射弧长度的增加，射流速度，拉伸力，拉伸力和射流曲率显着提高，射流半径大大减小。较强的拉伸力或拉伸力对应于较弱的压缩力和非常薄的Boger流体射流。