Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (3): 297-310.

• 论文 • 上一篇    下一篇

ON EQUATION OF DISCRETE SOLID PARTICLES’ MOTION IN ARBITRARY FLOW FIELD AND ITS PROPERTIES

黄社华1,2, 李炜1, 程良骏3   

  1. 1. Wuhan University of Hydraulic and Electric Engineering, Wuhan 430000, P.R.China;
    2. State Key Lab for Turbulence Research, Peking University, Beijing 100871, P.R.China;
    3. Huazhong University of Science and Technology, Wuhan 430000, P.R.China
  • 收稿日期:1998-07-13 修回日期:1999-07-20 出版日期:2000-03-18 发布日期:2000-03-18
  • 通讯作者: Liu Yulu
  • 基金资助:
    the National Natural Science Foundation of China (59709007)

ON EQUATION OF DISCRETE SOLID PARTICLES’ MOTION IN ARBITRARY FLOW FIELD AND ITS PROPERTIES

Huang Shehua1,2, Li Wei1, Cheng Liangjun3   

  1. 1. Wuhan University of Hydraulic and Electric Engineering, Wuhan 430000, P.R.China;
    2. State Key Lab for Turbulence Research, Peking University, Beijing 100871, P.R.China;
    3. Huazhong University of Science and Technology, Wuhan 430000, P.R.China
  • Received:1998-07-13 Revised:1999-07-20 Online:2000-03-18 Published:2000-03-18
  • Supported by:
    the National Natural Science Foundation of China (59709007)

摘要: 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.

关键词: solid liquid, two phase flow, discrete particles’ motion equation, discrete solid particles, Laplace transform

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 particles, Laplace transform

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