Smoothed particle hydrodynamics simulation of shear-induced powder migration in injection moulding
Smoothed particle hydrodynamics simulation of shear-induced powder migration in injection moulding
复制标题
注塑过程中剪切引起的粉末迁移的平滑颗粒流体动力学模拟
DOI：
10.1098/rsta.2011.0043
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
J. Korvink
中科院分区：
文献类型：
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作者：
D. Kauzlaric;L. Pastewka;Hagen Meyer;R. Heldele;M. Schulz;O. Weber;V. Piotter;J. Hausselt;A. Greiner;J. Korvink
我们提出了将光滑颗粒流体力学（SPH）离散化方案应用于集中悬浮液中剪切诱导颗粒迁移的菲利普斯模型。该模型给出了理想等直径球形固体颗粒的标量平均体积分数的演化方程，并用SPH形式将其离散化。为了得到具有精确守恒性质的离散演化方程，我们实际上把固体粒子的占据体积当作流体粒子的自由度。我们给出了二维和三维通道流动的模拟结果。二维结果通过与解析解的比较作为验证。三维结果用于与注射成型陶瓷微部件的计算机断层扫描得到的实验测量结果进行比较。我们观察到，当两个模型参数的Dc/Dη=0.1时，测量结果与瞬态模拟的快照最吻合。
We present the application of the smoothed particle hydrodynamics (SPH) discretization scheme to Phillips’ model for shear-induced particle migration in concentrated suspensions. This model provides an evolution equation for the scalar mean volume fraction of idealized spherical solid particles of equal diameter which is discretized by the SPH formalism. In order to obtain a discrete evolution equation with exact conservation properties we treat in fact the occupied volume of the solid particles as the degree of freedom for the fluid particles. We present simulation results in two- and three-dimensional channel flow. The two-dimensional results serve as a verification by a comparison to analytic solutions. The three-dimensional results are used for a comparison with experimental measurements obtained from computer tomography of injection moulded ceramic microparts. We observe the best agreement of measurements with snapshots of the transient simulation for a ratio Dc/Dη=0.1 of the two model parameters.