Abstract: The governing equations are established for the viscous, incompressible, non-Newtonian fluids under non-isothermal conditions. In order to avoid the simultaneous determination of the coupled velocity and pressure, this paper deduces a Poisson-like equation about pressure by modifying the variational formulation and solves the components independently at any given time step.The iterative procedure is employed both for velocity-pressure and velocity-viscosity solutions of the coupled equations.This method reduces the memory need in simulation，enhances the stability of numerical scheme and avoid using the confused “mid-plane” concept introduced by Hele-Shaw model. It can also simulate some important physical phenomena which cannot be simulated by mid-plane.Good agreements with the experiments are founded in the current investigation.This method can successfully predict the flow features in injection molding.

摘要： 建立了非等温条件下黏性、不可压缩、非牛顿流体流动的控制方程.为了避免同时求解耦合的压力场、速度场，通过修改传统方法的变分方程导出了关于压力场的拟Poisson方程，用迭代法独立求解连续性方程、动量方程，并进行速度场-黏度迭代求出最终的压力场、温度场.这种方法可以减少内存，提高数值方法的稳定性，避免了Hele-Shaw模型中容易引起争议的“中面”概念，并能模拟中面方法不能模拟的一些物理现象.算例表明数值结果与实验结果吻合较好，这种方法可以成功地预测注射成型流动过程中的重要特征.