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首页> 外文会议>3rd International Conference on High Temperature Capillarity HTC-2000, 3rd, Nov 19-22, 2000, Kurashiki, Japan >A MATHEMATICAL MODEL OF SOLID PARTICLES BEHAVIOR IN SOLIDIFYING ROTATING SLURRY
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A MATHEMATICAL MODEL OF SOLID PARTICLES BEHAVIOR IN SOLIDIFYING ROTATING SLURRY

机译：固结旋转浆液中固体颗粒行为的数学模型

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摘要

A 3-dimensional mathematical model, which has been developed for a comprehensive analysis of solidification, heat transfer and solid particle movement in rotated slurries was adapted to centrifugal casting of metal matrix composites of cylindrical shape. On the base of mathematical description of fluid equilibrium an explicit formula for pressure in liquid casting was obtained. This formula allows expressing pressure in liquid rotated metal as a function of coordinates r and z, and calculation of gas separation during crystallization is available. Another basic feature of the model developed here is that the Coriolis force is included in particle motion equations. This force has an essential meaning when the mass of particle or rotation speed is high. For applications to centrifugal casting of particle reinforced composites the model was made 2-dimensional and was used for a description of solidification of cylindrical casting reinforced by SiC particles. Solidification and particles movement during the filling was considered. A new criterion for the evaluation of homogenous particle distribution was introduced. To investigate the influence of operating parameters in centrifugal casting on the final particle distribution a lot of numerical experiments were carried out.
机译：为全面分析旋转浆液中的凝固，传热和固体颗粒运动而开发的三维数学模型适用于离心铸造圆柱形金属基复合材料。在流体平衡的数学描述的基础上，获得了液体浇铸压力的明确公式。该公式可以表示旋转的金属中的压力作为坐标r和z的函数，并且可以计算结晶过程中的气体分离。这里开发的模型的另一个基本特征是科里奥利力包含在粒子运动方程中。当粒子质量或旋转速度较高时，此力具有重要意义。为了应用于颗粒增强复合材料的离心铸造，将模型制作为二维模型，并用于描述由SiC颗粒增强的圆柱形铸造的凝固。考虑了填充过程中的固化和颗粒运动。介绍了一种评价均匀颗粒分布的新标准。为了研究离心铸造中操作参数对最终颗粒分布的影响，进行了许多数值实验。

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