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  • 1
    Electronic Resource
    Electronic Resource
    Fractal porous media I: Longitudinal stokes flow in random carpets (1987)
    Springer
    Transport in porous media 2 (1987), S. 553-569 
    Details
    ISSN: 1573-1634
    Keywords: Porous media ; permeability ; random ; fractal
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract Two-dimensional porous media whose random cross-sections are derived from site percolation are constructed. The longitudinal flow of a Newtonian fluid in the Stokes approximation is then computed and the longitudinal permeability is obtained. Two methods are used and yield the same result when porosity is low. The Carman equation is shown to apply within ±7% when porosity is within the range from 0 to 0.75. Finally, random structures derived from stick percolation are investigated; results are qualitatively the same, but the Carman equation yields a poorer approximation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00192155
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Fractal porous media IV: Three-dimensional stokes flow through random media and regular fractals (1990)
    Springer
    Transport in porous media 5 (1990), S. 325-340 
    Details
    ISSN: 1573-1634
    Keywords: Porous media ; three-dimensional ; permeability ; random ; fractal
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract The three-dimensional Stokes flow of a Newtonian fluid through random and/or fractal media is numerically determined. The permeability of these media is derived. Results relative to these structures are presented and discussed. The validity of the Carman equation and of a simple scaling argument is questioned.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01141990
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Fractal porous media III: Transversal Stokes flow through random and Sierpinski carpets (1988)
    Springer
    Transport in porous media 3 (1988), S. 185-198 
    Details
    ISSN: 1573-1634
    Keywords: Porous media ; permeability ; random ; fractal
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract The transversal Stokes flow of a Newtonian fluid through random and Sierpinski carpets is numerically calculated and the transversal permeability derived. In random carpets derived from site percolation, the average macroscopic permeability varies as (ε- ɛ c)3/2, close to the critical porosityɛ c. This exponent is found to be slightly different from the conductivity exponent. Results for Sierpinski carpets are presented up to the fourth generation. The Carman equation is not verified in these two model porous media.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00820345
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    Paper (German National Licenses)
    Fulltext
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