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  • 1
    Electronic Resource
    Electronic Resource
    Multiphase Flow in Porous Media (1988)
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Fluid Mechanics 20 (1988), S. 35-59 
    Details
    ISSN: 0066-4189
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1146/annurev.fl.20.010188.000343
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  • 2
    Electronic Resource
    Electronic Resource
    Thermal conductivity of random media and regular fractals (1990)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 68 (1990), S. 3872-3883 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Laplace equation can be solved in any two- and three-dimensional porous medium by means of a vectorized numerical code. It is applied to several structures such as random media derived from site percolation; close to the percolation threshold, the critical exponents are found to be very close to the ones corresponding to networks; the results are usefully compared to previous variational upper bounds and to the prediction of an approximate space renormalization. Media with double porosity such as catalyst pellets are also addressed. Finally the conductivity of most fractals is shown to follow an Archie's law in the limit of large generation numbers; the exponents of the power laws can be retrieved by various renormalization arguments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.346274
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  • 3
    Electronic Resource
    Electronic Resource
    Transport processes in fractals. VI. Stokes flow through Sierpinski carpets (1986)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 15-22 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Stokes flow of a Newtonian fluid is calculated inside a porous medium that is spatially periodic, the unit cell being a fractal named a Sierpinski carpet. Complete results are given for the longitudinal permeability. A scaling argument and complete numerical calculations provide two exponents of the power law that differ by only 2% when the construction stage is large; in this limit, the scaling argument provides the same result as the classical Carman equation. The agreement between these two results may be fortuitous and thus has to be considered with caution. Various comments and extensions to three-dimensional media such as the Menger sponge are also presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865971
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  • 4
    Electronic Resource
    Electronic Resource
    Taylor dispersion in porous media. Determination of the dispersion tensor (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 2348-2376 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In homogeneous porous media, the analytical expression of the dispersion tensor D* can be calculated by the method of moments and by a multiple scale expansion; the symmetric component of this tensor is identical in both cases. Numerically, D* can be computed by two methods, namely the B equation and random walks. The porous media are modeled as being spatially periodic; D* is determined as a function of the Péclet number for four types of unit cells: deterministic, fractal, random, and reconstructed. A systematic comparison is made with existing numerical and experimental data. The long time behavior, and its Gaussian limit, is documented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858751
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  • 5
    Electronic Resource
    Electronic Resource
    Measurement of two-dimensional velocity fields in porous media by particle image displacement velocimetry (1992)
    Springer
    Experiments in fluids 12 (1992), S. 210-212 
    Details
    ISSN: 1432-1114
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Local measurements of the phase function and of two components of the velocity can be performed in transparent porous media by means of particle image displacement velocimetry (P.I.D.V.). Some preliminary results are presented and discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00188261
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  • 6
    Electronic Resource
    Electronic Resource
    Viscosity of concentrated suspensions of aggregable particles (1978)
    Springer
    Rheologica acta 17 (1978), S. 288-295 
    Details
    ISSN: 1435-1528
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Description / Table of Contents: Zusammenfassung Die Strömungsfelder innerhalb und außerhalb kugelförmiger Aggregate, die sich als ein poröses Medium beschreiben lassen, werden mit Hilfe des Freie-Zellen-Modells (free-cell model) in einer linearen Scherströmung bestimmt. Die Spannungen in der porösen Festkörper-Matrix werden unter Vernachlässigung der Teilchendeformation berechnet. Zur Bestimmung des Aufbrechens der Aggregate infolge der Schubspannungseinwirkung wird eine Fließbedingung nach von Mises in Ansatz gebracht. Für permanente und aufbrechbare Aggregate werden numerische Werte der Viskosität mitgeteilt und diskutiert.
    Notes: Summary The flow fields inside and outside a spherical aggregate considered as a porous medium in a linear shear field are determined when the free-cell model is used. Stresses within the porous solid matrix are calculated while neglecting the particle deformation. A Mises yield condition is used for the determination of the break-up of the aggregates as a function of the shear strength. Numerical results about the viscosity of permanent and breakable aggregates are given and discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01535065
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  • 7
    Electronic Resource
    Electronic Resource
    Measurements of thermally-induced convection in a model porous medium (1995)
    Springer
    Flow, turbulence and combustion 55 (1995), S. 245-259 
    Details
    ISSN: 1573-1987
    Keywords: thermal convection ; porous medium ; Particle Image Velocimetry (PIV) ; Laser Doppler Anemometry (LDA)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The velocity field generated by thermal convection in a model porous medium is experimentally determined by means of both PIV and LDA techniques. Details of matching refraction index under non isothermal conditions are given. Fields are measured in the empty parallelepipedic cell and in a model medium made of parallel circular bundles. Results are in good agreement. Moreover, by an averaging technique, we are able to measure seeping velocity profiles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00867514
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  • 8
    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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  • 9
    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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  • 10
    Electronic Resource
    Electronic Resource
    Thermal Conductivity of a Single Fracture (1997)
    Springer
    Transport in porous media 27 (1997), S. 305-326 
    Details
    ISSN: 1573-1634
    Keywords: fracture ; conductivity ; self-affine.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract The macroscopic conductivity of fractures is determined for Gaussian and self-affine fractures by solving the three-dimensional Laplace equation. Results are discussed and compared with various analytical or two-dimensional approximations. They are shown to be in good agreement with some existing experimental data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006585510976
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