Microscopic flow near the surface of two-dimensional porous media. Part 1. Axial flow

Larson, R. E.; Higdon, J. J. L.

doi:10.1017/s0022112086000228

Cited by 238 publications

(116 citation statements)

References 13 publications

(10 reference statements)

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“…[4][5][6][7][8][9][10][11][12] In contrast, due to technical difficulties and heavy computational costs, the number of experiments and numerical simulations explicitly designed for investigating the transition layer between a turbulent boundary layer and a porous medium region is much more limited. [13][14][15]3 Ruff and Gelhar 13 performed velocity measurements in pipe flows where the porous medium was composed of foam.…”

Section: B Turbulence Properties Of the Transition Layermentioning

confidence: 99%

Turbulence structure of open channel flows over permeable and impermeable beds: A comparative study

Manes

Pokrajac²,

McEwan³

et al. 2009

Physics of Fluids

127

146

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The behavior of turbulent open channel flows over permeable surfaces is not well understood. In particular, it is not clear how the surface and the subsurface flow within the permeable bed interact and influence each other. In order to clarify this issue we carried out two sets of experiments, one involving velocity measurements in open channel flows over an impermeable bed composed of a single layer of spheres, and another one where velocities were measured over and within a permeable bed made of five such layers. Comparison of surface flow velocity statistics between the two sets of experiments confirmed that bed permeability can significantly affect flow resistance. It was also confirmed that even in the hydraulically rough regime, the friction factors for the permeable bed increase with increasing Reynolds number. Such an increase in flow resistance implies a different distribution of normal form-induced stress between the permeable and impermeable bed cases. Subsurface flow measurements performed within the permeable bed revealed that there is an intense transport of turbulent kinetic energy ͑TKE͒ occurring from the surface to the subsurface flow. We provide evidence that the transport of TKE toward the lower bed levels is driven mainly by pressure fluctuations, whereas TKE transport due to turbulent velocity fluctuations is limited to a thinner layer placed in the upper part of the bed. It was also confirmed that the turbulence imposed by the surface flow gradually dissipates while penetrating within the porous medium. Dissipation occurs faster for the small scales than for the large ones, which instead are persistent, although weak, even at the lowest bed levels.

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Section: B Turbulence Properties Of the Transition Layermentioning

confidence: 99%

Turbulence structure of open channel flows over permeable and impermeable beds: A comparative study

Manes

Pokrajac²,

McEwan³

et al. 2009

Physics of Fluids

127

146

View full text Add to dashboard Cite

show abstract

“…Generally, for the Stokes-Brinkman case, it is most common to assume continuity of the velocity at the interface (no slip) (Alazmi & Vafai 2000). Larson & Higdon (1986, 1987 investigated the case of a porous medium in a viscous fluid at a microscopic level by considering semi-infinite lattice of cylinders in various arrangements. The boundary integral method was used to solve the Stokes equation around the cylinders.…”

Section: Valdésmentioning

confidence: 99%

Boundary integral formulation for flows containing an interface between two porous media

2017

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A system of boundary integral equations is derived for flows in domains composed of a porous medium of permeability k 1 , surrounded by another porous medium of different permeability, k 2 . The incompressible Brinkman equation is used to describe the flow in the porous media. We first apply a boundary integral representation of the Brinkman flow on each side of the dividing interface, and impose continuity of the velocity at the interface to derive the final formulation in terms of the interfacial velocity and surface forces. We discuss relations between the surface stresses based on the additional conditions imposed at the interface that depend on the porosity and permeability of the media and the structural composition of the interface. We present simulated results for test problems and different interface stress conditions. The results show significant sensitivity to the choice of the interface conditions, especially when the permeability is large. Since the Brinkman equation approaches the Stokes equation when the permeability approaches infinity, our boundary integral formulation can also be used to model the flow in sub-categories of Stokes-Stokes and Stokes-Brinkman configurations by considering infinite permeability in the Stokes fluid domain.

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“…According to Timofeeva et al (2009), elongate particle such as platlets and cylinders resulted in high nanofluid viscosity compared to spherical shape [16]. As porosity reduced the resistance of fluid to flow during in contact with surface, hence the viscosity was reduced too [21,22]. Based on this statement, it can be concluded that the result was acceptable as the viscosity for sample with porous shape was lower than the sample with sphericalsolid shape.…”

Section: Effect Of Particle Shapementioning

confidence: 99%

Effects of particle shape and size on nanofluid properties for potential Enhanced Oil Recovery (EOR)

et al. 2016

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Abstract. Application of Enhanced Oil Recovery (EOR) in oil and gas industry is very important to increase oil recovery and prolong the lifetime of a reservoir but it has been very costly and losing properties of EOR agent due to harsh condition. Nanoparticles have been used in EOR application since they are not degradable in reservoir condition and used in smaller amount compared to polymer usage. Commonly, EOR techniques are focusing on increasing the sweep efficiency by controlling the mobility ratio between reservoir fluid and injected fluid. Thus, this research aimed to analyze the nanofluid viscosity at different particle size and shape, volumetric concentration and types of dispersing fluid, as well as to determine the oil recovery performance at different nanofluid concentration. The nanofluid viscosity was investigated at nanoparticle sizes of 15nm and 60nm and shapes of 15nm spherical-solid and porous. Five nanofluid samples with concentration ranging from 0.1wt.% to 7wt.% were used to investigate the effect of volumetric concentration. Distilled water, ethanol, ethylene glycol (EG) and brine were used for the effect of dispersing fluids. Oil recovery was investigated at five different concentrations of nanofluid samples through flooding test. It was found that viscosity of nanofluid increased with decreasing particle size and increasing volumetric concentration. Solid shape particle and increasing dispersing fluid viscosity resulted in higher nanofluid viscosity. The higher the nanofluid concentration, the higher the oil recovery obtained. It can be concluded that nanofluid properties have been significantly affected by the environment and the particle used for potential EOR application.

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Microscopic flow near the surface of two-dimensional porous media. Part 1. Axial flow

Cited by 238 publications

References 13 publications

Turbulence structure of open channel flows over permeable and impermeable beds: A comparative study

Turbulence structure of open channel flows over permeable and impermeable beds: A comparative study

Boundary integral formulation for flows containing an interface between two porous media

Effects of particle shape and size on nanofluid properties for potential Enhanced Oil Recovery (EOR)

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