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

• Articles • Previous Articles     Next Articles

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)

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

2010 MSC Number: 

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