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  • 1
    Electronic Resource
    Electronic Resource
    Experimental and numerical investigations of the interface profile close to a moving contact line (1998)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 10 (1998), S. 789-799 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: For the problem of one fluid displacing another on a solid surface, Dussan V. et al. (1991) proposed a one-parameter analytical solution (the DRG solution) to describe the dynamic interface shape in the overlap region of the intermediate and the outer regions, for small capillary numbers. In the present study we examined the validity of the DRG solution with both experimental and numerical approaches. Our experiments consisted of displacing air with paraffin oil in parallel (Hele–Shaw) glass cells. The slope of the air–oil interface was measured at distances from the contact line, ranging between 5 and 200 μm. The displacement speeds corresponded to capillary numbers ranging between 4.7×10−6 and 2.6×10−4. Excellent agreement was obtained among the DRG solution, the numerical, and the experimental results in the region 〉10 μm from the contact line, but systematic deviation was observed in the region close to the contact line. This deviation was confirmed by the numerical simulations that used the finite element method. The measured dynamic contact angle increases with the displacing speed and can be correlated with a power law in Ca, which is similar to Tanner's law. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869603
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  • 2
    Electronic Resource
    Electronic Resource
    On iterative and Monte Carlo solutions of the Boltzmann equation (1974)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 25 (1974), S. 189-194 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Résumé Les deux méthodes les plus couramment utilisées pour résoudre l'équation de Boltzmann pour des conditions aux limites données sont les solutions par itération du premier ordre (par exemple, la solution de BGK) et la méthode de Monte-Carlo. Dans le travail présenté ici, les approximations representées par deux solutions par itération différentes sont comparées à l'approximation obtenue par la méthode de Monte-Carlo pour une onde de choc unidimensionnelle dans un gaz representé par des sphères solides. Il est établi que, comparée à l'approximation de Monte-Carlo, la solution de BGK n'est pas aussi satisfaisante que l'autre solution par itération (celle de Holway) et que cette première solution peut être améliorée en utilisant des températures directionnelles plutôt qu'une température moyenne.
    Notes: Abstract The two most commonly used techniques for solving the Boltzmann equation, with given boundary conditions, are first iterative equations (typically the BGK equation) and Monte Carlo methods. The present work examines the accuracy of two different iterative solutions compared with that of an advanced Monte Carlo solution for a one-dimensional shock wave in a hard sphere gas. It is found that by comparison with the Monte Carlo solution the BGK model is not as satisfactory as the other first iterative solution (Holway's) and that the BGK solution may be improved by using directional temperatures rather than a mean temperature.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01591320
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  • 3
    Electronic Resource
    Electronic Resource
    Steady-state solutions to Bentsen's equation (1994)
    Springer
    Transport in porous media 16 (1994), S. 105-123 
    Details
    ISSN: 1573-1634
    Keywords: Bentsen's equation ; Buckley-Leverett solution ; capillary number ; immiscible displacement ; steady-state solution
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract Based on experimentally observed phenomena and the physical requirement of a unique value of saturation at any location within a porous medium, a restrictive condition for a valid solution to Bentsen's equation is derived: ∂2 f/∂S 2≤0. The steady-state solution to Bentsen's equation is shown to be identical to the Buckley-Leverett solution to the displacement equation, and the steady-state solution for the fractional flow is shown to be independent of the capillary number. It is proved that under steady-state conditions, the capillary term of the fractional flow equation in the frontal region does not depend on the capillary number. Therefore, the unrealistic triple-valued saturation profile of the original Buckley-Leverett solution resulted because the capillary term was in-appropriately neglected. The break-through recovery efficiency,Τ bt , is shown to be a function of the capillary number. As the capillary number decreases, the break-through recovery efficiency increases and the maximum value ofΤ bt can be obtained asN c → 0. The Buckley-Leverett solution is the limiting solution asN c → 0.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00617547
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  • 4
    Electronic Resource
    Electronic Resource
    The effect of gravity degradation on low-speed centrifuge capillary pressure data (1995)
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 41 (1995), S. 469-480 
    Details
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The gravity degradation effect has been identified as a significant physical problem in using centrifuge techniques for determining capillary pressure curves. In 1992, the authors characterized the effect by an angle; however, such an evaluation is simplistic. Here, a new model is constructed to characterize the effect quantitatively. The results with simulated data sets show that there exists a pronounced effect of gravitation on the horizontal centrifugal field in low-speed experiments (≤ 500 rpm on a standard Beckman centrifuge). Gravity affects the production history for some samples, which leads to inaccurate interpretations of capillary pressure information near the threshold pressure.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/aic.690410305
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  • 5
    Electronic Resource
    Electronic Resource
    Centrifugal analysis of pivoted-rotor systems for capillary pressure measurements (1997)
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 43 (1997), S. 837-843 
    Details
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/aic.690430329
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  • 6
    Electronic Resource
    Electronic Resource
    Ramp-up centrifugation of capillary pressure experiments (1997)
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 43 (1997), S. 2133-2136 
    Details
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/aic.690430820
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