用区域变换计算单螺杆挤出机流动区域上的三维泊松方程数值解法

发布时间：2018-05-01 14:36

本文选题：共形映射 + 单螺杆挤出机　；参考：《北京化工大学学报(自然科学版)》2017年05期

【摘要】：单螺杆挤出机流体流动区域是一个复杂的区域,其截面为双连通区域,且计算求解此流动区域上的泊松方程是用高效的投影算法求解单螺杆挤出机流体流动问题的核心步骤。利用共形映射将此不规则的双连通区域转化为同心圆环,进一步将复杂的求解区域变为规则的圆环柱体区域,可以大大简化问题的计算,并适用于计算包含漏流层的单螺杆挤出机流体流动问题。以截面内边界曲线为椭圆的单螺杆挤出机为例进行了泊松方程的求解计算,将求得的解与精确解进行了对比,结果表明此方法简单有效。
[Abstract]:The flow region of a single screw extruder is a complex region, whose cross section is a double connected region. The calculation of Poisson's equation in this flow region is the core step of solving the fluid flow problem of a single screw extruder with an efficient projection algorithm. By using conformal mapping, the irregular double connected region is transformed into a concentric ring, and the complex solution region is further transformed into a regular circular cylinder region, which greatly simplifies the calculation of the problem. It can be used to calculate the flow problem of single screw extruder with leakage layer. A single screw extruder with inner boundary curve as an example is used to solve the Poisson equation. The results show that the method is simple and effective.
【作者单位】：北京化工大学理学院;
【基金】：国家自然科学基金(11671027/11471321)
【分类号】：O241.8

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