无网格粒子法在模拟单螺杆挤出非牛顿流中的应用  

Meshless Particle Method Simulation of the Non-Newtonian Fluid Flow in the Single Screw Extruder

作　　者：董添文[1,2] 黄兴元[1] 江顺亮[3] 柳和生[2] 

机构地区：[1]南昌大学聚合物研究成型研究室,江西南昌330031 [2]上饶师范学院物理与电子信息学院,江西上饶334001 [3]南昌大学信息工程学院,江西南昌330031

出　　处：《高分子材料科学与工程》2013年第1期179-182,186,共5页Polymer Materials Science & Engineering

基　　金：国家自然科学基金资助项目(50863003);江西省研究生创新专项资金项目(YC09A037)

摘　　要：基于光滑粒子流体动力学(SPH)方法,采用FORTRAN语言,自行开发了一套模拟非牛顿流的程序。采取镜像粒子法处理固壁边界。使用移动最小二乘(MLS)修正密度,消除压力振荡。选取幂率模型计算非牛顿流体黏度。通过模拟平板Poiseuille流验证了该程序计算非牛顿流的正确性。最后,将SPH方法应用于单螺杆挤出螺槽横截面流场的计算,对比考察了剪切变稀、牛顿、剪切变稠等不同情况下的速度场、剪切速率场,计算结果与理论基本符合。螺槽中轴线上的速度分布与理论解一致。为SPH方法在更加复杂的三维螺杆挤出模拟打下了基础。Based on the smoothed particle hydrodynamics （SPH） method, a program written in FORTRAN was developed to simulate the non-Newtonian fluid flow. The mirror particles were used to treat boundary. The moving least squares （MLS） density correction approach is used to smooth the pressure oscillation. The power-law model is used to calculate the viscosity of the fluid. The efficiency of numerical schemes is evaluated by simulating planar Poiseuille flow. Finally, the shear-thinning, the shear-thickening and Newtonian fluid in the single screw extruder were simulated by SPH method. Comparisons of the velocity and shear rate show that it is generally consistent with the theory. The velocity profile along the centre of screw extruder is also in agreement with the theoretical solution. It builts up the foundation for the simulation of the more complex 3-D model.

关 键 词：光滑粒子流体动力学 非牛顿流 单螺杆挤出 

分 类 号：TG156[金属学及工艺—热处理]