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  • Articles  (7)
  • Other Sources
  • two-phase flow  (7)
  • Biomechanics
  • Springer  (7)
  • 1995-1999  (7)
  • 1997  (7)
  • Technology  (7)
  • 1
    ISSN: 1437-8213
    Keywords: two-phase flow ; micro-bubble ; turbulent boundary layer ; Monte Carlo method ; mixing length
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract For the theoretical consideration of a system for reducing skin friction, a mathematical model was derived to represent, in a two-phase field, the effect on skin friction of the injection of micro air bubbles into the turbulent boundary layer of a liquid stream. Based on the Lagrangian method, the equation of motion governing a single bubble was derived. The random motion of bubbles in a field initially devoid of bubbles was then traced in three dimensions to estimate void fraction distributions across sections of the flow channel, and to determine local bubble behavior. The liquid phase was modeled on the principle of mixing length. Assuming that the force exerted on the liquid phase was equal to the fluid drag generated by bubble slip, an equation was derived to express the reduction in turbulent shear stress. Corroborating experimental data were obtained from tests using a cavitation tunnel equipped with a slit in the ceiling from which bubbly water was injected. The measurement data provided qualitative substantiation of the trend shown by the calculated results with regard to the skin friction ratio between cases with and without bubble injection as function of the distance downstream from the point of bubble injection.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Transport in porous media 28 (1997), S. 221-231 
    ISSN: 1573-1634
    Keywords: viscous coupling ; transport processes ; relative permeablity ; Onsanger relationship ; transport coefficients ; two-phase flow
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract In this Note, suggestions are presented about simple but usually ignored ways to enhance the reliability and utility of the otherwise interesting procedures recently studied (e.g. by Zarcone and Lenormand), and independently by Dullien and Dong for obtaining needed information about the relative importance of the role played by viscous coupling phenomena during multiphase flow processes that occur in and the interstices of natural porous media systems. This is done now because of the persistence of so many perplexing questions and contradicting opinions about what has been a controversial subject ever since the appearance of Yuster's watershed paper in 1951. Here, the belief held by at least a few of the currently publishing authorities is embraced, namely that viscous coupling issues will never be fully settled until the indications of the underlying theoretical interpretations can be fully confirmed by laboratory observations, hence a disclosure of even modest ways to achieve data acquisition enhancements is the motivation for what is written in what follows.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Transport in porous media 28 (1997), S. 205-219 
    ISSN: 1573-1634
    Keywords: two-phase flow ; viscous coupling ; Cocurrent flow ; counter current flow
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract A new formalism is developed to describe the viscous coupling phenomena between two immiscible, flowing fluids in porous media. The formulation is based on the notation of ‘two-phase mixture’ in which the relative motion between an individual phase and the mixture in porous media can be described by a diffusion equation. The present formulation is derived from Darcy's law with cross-terms without making further approximations. However, the new formulation requires fewer effective parameters to be determined experimentally, thus offering a more viable tool for the study of two-phase flow dynamics with viscous coupling in porous media. Moreover, it is found that no new term appears in the present model in cases with and without viscous coupling; instead, the incorporation of viscous coupling only modifies the effective parameters. It can thus be concluded that viscous coupling does not represent a fundamentally new phenomenon within the framework of the present formulation.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Transport in porous media 28 (1997), S. 335-372 
    ISSN: 1573-1634
    Keywords: heterogeneous fractures ; preferential flow paths ; two-phase flow ; boiling and condensation ; vapor-dominated geothermal reservoirs ; nuclear waste disposal ; numerical simulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract Water injection into unsaturated fractured rock at above-boiling temperatures gives rise to complex fluid flow and heat transfer processes. Examples include water injection into depleted vapor-dominated geothermal reservoirs, and emplacement of heat-generating nuclear wastes in unsaturated fractured rock. We conceptualize fractures as two-dimensional heterogeneous porous media, and use geostatistical techniques to generate synthetic permeability distributions in the fracture plane. Water flow in hot high-angle fractures is simulated numerically, taking into account the combined action of gravity, capillary, and pressure forces, and conductive heat transfer from the wall rocks which gives rise to strong vaporization. In heterogeneous fractures boiling plumes are found to have dendritic shapes, and to be subject to strong lateral flow effects. Fractures with spatially-averaged homogeneous permeabilities tend to give poor approximations for vaporization behavior and liquid migration patterns. Depending on water flow rates, rock temperature, and fracture permeability, liquid water can migrate considerable distances through fractured rock that is at above-boiling temperatures and be only partially vaporized.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Transport in porous media 28 (1997), S. 181-203 
    ISSN: 1573-1634
    Keywords: relative permeability ; hyssteresis ; Riemann problem ; fractional flow ; conservation law ; flow prediction ; history ; immiscible displacement ; two-phase flow ; modelling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract Hysteresis phenomena in multi-phase flow in porous media has been recognized by many researchers and widely believed to have significant effects on the flow. In an attempt to account for these effects, a theoretical model for history-dependent relative permeabilities is considered. This model is incorporated into 1-D two-phase nondiffusive flow system and the corresponding flow is predicted. Flow history is observed to have a notable impact on the saturation profile and fluids breakthrough.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Transport in porous media 26 (1997), S. 261-275 
    ISSN: 1573-1634
    Keywords: swelling porous media ; high velocity flow ; non-Darcy flow ; two-phase flow ; multi-phase flow ; mixture theory ; Forchheimer equation ; unsaturated flow ; Darcy's law ; non-linear flow ; hybrid mixture theory ; isotropic function theory.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract In this paper, we derive a Forchheimer-type equation for two-phase flow through an isotropic porous medium using hybrid mixture theory. Hybrid mixture theory consists of classical mixture theory applied to a multiphase system with volume averaged equations. It applies to media in which the characteristic length of each phase is ‘small’ relative to the extent of the mixture. The derivation of a Forchheimer equation for single phase flow has been obtained elsewhere. These results are extended to include multiphase swelling materials which have nonnegligible interfacial thermodynamic properties.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of engineering mathematics 31 (1997), S. 173-203 
    ISSN: 1573-2703
    Keywords: deflagration ; two-phase flow ; porous materials ; activation energy ; asymptotics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract A theoretical analysis for the unconfined deflagration of a porous energetic material is developed for a two-step global reaction mechanism that consists of the condensed-phase combustion of the reactive material to produce gas-phase intermediates, followed by a gas-phase reaction that produces final gas-phase products. An asymptotic approach is employed, leading to explicit formulas for the deflagration velocity in specific parameter regimes. The results clearly indicate the influences of two-phase flow and the multiphase, multi-step chemistry on the burning rate, and serve to further characterize the combustion behavior of a significant class of degraded nitramine-type propellants for which the present analysis is applicable.
    Type of Medium: Electronic Resource
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