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采用基于交错网格的有限体积法(FVM)离散了4大方程,给出了能量方程的全三维离散格式。运用SIMPLE算法求解了矩形截面流道内熔体的速度场和压力场,通过耦合动量方程和能量方程,进而得到整个机头流道内温度的分布。计算中采用了Carreau流变模型,并给出了作为温度函数的流动指数n的解析表达式。模拟结果表明:在入口区,熔体从近壁面区域向流道的中心区域汇集,进入全展流区后,熔体的流场不再变化;熔体内温度分布较为复杂,影响因素众多。
The four equations are discretized by finite volume method based on staggered grid (FVM), and the full three-dimensional discrete form of energy equation is given. The SIMPLE algorithm was used to solve the velocity field and pressure field of the melt in the rectangular cross section flow channel. Through the coupled momentum equation and energy equation, the temperature distribution in the whole head flow path was obtained. The Carreau rheological model was used in the calculation and an analytical expression of the flow index n as a function of temperature was given. The simulation results show that in the inlet zone, the melt converges from the near wall to the center of the flow channel, and the melt flow field does not change after entering the all-flow zone. The temperature distribution in the melt is complex with many influencing factors.