| 粉末注射成形填充过程的数值模拟 |
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| 引用本文： | 郑洲顺 曲选辉 李云平. 粉末注射成形填充过程的数值模拟[J]. 数学理论与应用, 2003, 23(3): 96-100 |
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| 作者姓名： | 郑洲顺 曲选辉 李云平 |
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| 作者单位： | 中南大学粉末冶金国家重点实验室，长沙，410083 |
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| 基金项目： | Project supported by The National 973Program，National Natural Science Foundation of China and The StateMinistry of Education |
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| 摘 要： | 本文将粉末注射成形喂料在薄壁模腔中的流动视为二维流动，以流变学的基本方程为基础，建立了从动量方程、连续方程和热传递方程得到的描述PIM喂料充模二维流动的数学模型。在无滑移边界的条件下，推导了喂料熔体流导率的计算公式和压力场的控制方程，得到的压力场控制方程是一非线性椭圆偏微分方程．从而可用Galerkin方法进行数值求解，使模型的数值求解成为可能，为进一步对粉末注射成形进行计算机模拟和数值分析奠定了数学基础。
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| 关 键 词： | 粉末注射成形 填充过程 数值模拟 薄壁模腔 压力场 控制方程 椭圆方程 Galerkin方法 数学模型 流导率 |
Numerical Simulation of Powder Injection Molding Filling Process |
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| Zheng Zhoushun ,) Qu Xuanhui ,) Li Yunping ). Numerical Simulation of Powder Injection Molding Filling Process[J]. Mathematical Theory and Applications, 2003, 23(3): 96-100 |
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| Authors: | Zheng Zhoushun ) Qu Xuanhui ) Li Yunping ) |
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| Affiliation: | Zheng Zhoushun 1,2) Qu Xuanhui 1,3) Li Yunping 1) |
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| Abstract: | A mathematical model of two-dimensional flows of PIM derived from the momentum, continuity equations and the heat transfer equation is obtained. The formula of calculating the flow conductance and the pressure equation are deduced when the no slip boundary condition is employed at the wall, and the pressure equation is a no-linear partial differential equation of elliptic type. Galerkin's method can be applied to the pressure equation. It will make numerical solving for the model possible and lays a mathematical foundation for further analysis the PIM mold filling flow. |
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| Keywords: | Numerical Simulation Powder Injection Molding Flow Conductance Mathematical model |
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