Liu Ci-qun. Transient Spherical Flow of Non-Newtonian Power-Law Fluids in Porous Media[J]. Applied Mathematics and Mechanics, 1988, 9(6): 481-485.
Citation: Liu Ci-qun. Transient Spherical Flow of Non-Newtonian Power-Law Fluids in Porous Media[J]. Applied Mathematics and Mechanics, 1988, 9(6): 481-485.

Transient Spherical Flow of Non-Newtonian Power-Law Fluids in Porous Media

  • Received Date: 1987-02-23
  • Publish Date: 1988-06-15
  • The transient spherical flow behavior of a slightly compressible, non-Newtonian, power-law fluids in porous media is studied. A nonlinear partial differential equation of parabolic type is derived. The diffusivity equation for spherical flow is a special case of the new equation. We obtain analytical, asymptotic and approximate solutions by using the methods of Laplace transform and weighted mass conservation. The structures of asymptotic and approximate solutions are similar, which enriches the theory of one-dimensional flow of non-Newtonian fluids through porous media.
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    Oden,A.S.and H.T.Yang,Flow of non-Newtonian power-law fluids through porous media,Soc.Pet.Eng.J.,June(1979),155-163.
    [3]
    Ikoku,C.U.and H.J.Ramey,Transient flow of non-Newtonian power-law fluids in porous media,ibid,164-174.
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