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