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任意流场中稀疏颗粒运动方程及其性质
On Equation of Discrete Solid Particles’ Motion in Arbitrary Flow Field and Its Properties
【摘要】 通过研究和比较稀疏刚性颗粒相对流体运动时所受到的各种作用力 ,并考虑在不同流动条件下各作用力的修正问题从而得到了任意流场中稀疏颗粒运动方程的一般形式 ;然后分析了该方程的数学性质 ,采用积分变换方法 (Laplace变换 )对该方程的基本形式进行了理论解析 ;最后探讨了颗粒物理性质对其运动规律的影响 ,以及几种典型流场中稀疏颗粒的运动特性 ,得到了一些有意义的结论·
【Abstract】 The forces on rigid particles moving in relation to fluid having been studied and the equation of modifications of their expressions under different flow conditions discussed, a general form of equation for discrete particles’ motion in arbitrary flow field is obtained. The mathematical features of the linear form of the equation are clarified and analytical solution of the linearized equation is gotten by means of Laplace transform. According to above theoretical results, the effects of particles’ properties on its motion in several typical flow field are studied, with some meaningful conclusions being reached.
【Key words】 solid liquid two phase flow; discrete particles’ motion equation; discrete solid porticles; Laplace transform;
- 【文献出处】 应用数学和力学 ,APPLIED MATHEMATICS AND MECHANICS , 编辑部邮箱 ,2000年03期
- 【分类号】O359
- 【被引频次】115
- 【下载频次】913