球形夹杂物在钢液中的受力分析(2)
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摘要
得到稀疏刚性球形颗粒相对流体运动的常微分方程组后,给定不同流场做为边界条件,用四阶Runge-Kutta法离散颗粒运动控制方程组,并编写了计算夹杂物颗粒受力运动计算机程序。研究了钢液流场、颗粒雷诺数及粒径大小对颗粒运动速度、位移和受力的大小及其数量级。当钢液做水平匀速、或垂直向上匀速流动时,粒径为10、30及50μm的夹杂物,主要是粘性力、浮力和曳力起作用;在较短运动时间后,其运动速度达到流体速度,即做跟随流动。其中粘性力、浮力、曳力、重力、Brown力较大,其次是Basset力,其它力的量级很小。本研究为更加准确的建立夹杂物在钢液中运动数学模型,优化控流装置,优化钢水流动,提高钢水洁净度提供量化的参考和借鉴。
After obtaining the ordinary differential equations of the relative motion of the spherical particles,the boundary conditions of different flow fields are given,and the four order Runge-Kutta method is used to solve the particle motion control equations.And write a computer program for the calculation of inclusion particles movement.Study on liquid steel flow field,particle Reyno lds number,particle size on particle velocity,displacement and stress of the size and the number of grade.When molten steel do uniformly and horizontally and vertically to uniform flow,the particle size is 10,30 and 50 urn inclusions is mainly affected by the viscous force,buoyancy and drag force acting.In a short time after moving,its velocity reach to the velocity of the fluid flow,then do the following.The viscous force,buoyancy,drag force,gravity,Brownian force is larger,basset force is smaller,the magnitude of any other force is very small.The research is contribute to establish a more accurate inclusions motion mathematical model in molten steel,and optimize control flow device,optimize the flow of molten steel,improve cleanliness of molten steel,and it can provide quantitative reference.
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