Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (8): 777-786.

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THE APPROXIMATE SOLUTION OF THE SELF-SIMILAR PROBLEM FOR RADIAL FLOW OF NON-NEWTONIAN FLUIDS THROUGH POROUS MEDIA

袁镒吾   

  1. Central-South University of Technology, Changsha
  • 收稿日期:1987-10-25 出版日期:1988-08-18 发布日期:1988-08-18

THE APPROXIMATE SOLUTION OF THE SELF-SIMILAR PROBLEM FOR RADIAL FLOW OF NON-NEWTONIAN FLUIDS THROUGH POROUS MEDIA

Yuan Yi-wu   

  1. Central-South University of Technology, Changsha
  • Received:1987-10-25 Online:1988-08-18 Published:1988-08-18

摘要: In this paper, we study the approximate solution of the self-simikar problem for radial flow of non-Newtonian fluids through porous media. Assuming that the fluids obey the exponential function law, we obtain an exact solution for the exponent n=0 and compare it with the approximate solution in ref. [1].For n>1 and n<1, we obtain respectively approximate solutions. Some exampls are presented.

关键词: sedimentation, lattice Boltzmann method, particle-particle interaction

Abstract: In this paper, we study the approximate solution of the self-simikar problem for radial flow of non-Newtonian fluids through porous media. Assuming that the fluids obey the exponential function law, we obtain an exact solution for the exponent n=0 and compare it with the approximate solution in ref. [1].For n>1 and n<1, we obtain respectively approximate solutions. Some exampls are presented.

Key words: sedimentation, lattice Boltzmann method, particle-particle interaction

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