Gravity-driven flow of Herschel–Bulkley fluid in a fracture and in a 2D porous medium

Federico, Vittorio Di; Longo, Sandro; King, Stuart; Chiapponi, L.; Petrolo, D.; Ciriello, Valentina

doi:10.1017/jfm.2017.234

Cited by 47 publications

(25 citation statements)

References 47 publications

(50 reference statements)

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“…This effect is more pronounced at higher pressure gradient and ξ seems be a good parameter to reveal pore structure complexity. Remarkably, the dependency of Q on the power of pressure gradient is in agreement with the recent founding experimentally at Darcy scale in [30] for yield stress fluid and in [20] for Herschel-Bulkley fluid in the context of gravity current. Figure 11.…”

Section: Effect Of the Pressure Gradientsupporting

confidence: 91%

“…Finally, we implement a power-law (or Ostwald deWaele) non-Newtonian fluid at non-isothermal conditions to test the pore-scale model sensitivity to both the rheological and operating parameters. This paper, focused on modeling at pore-scale, can be considered as complemental to the large body of works on simulating non-Newtonian fluids at Darcy-scale [14,18,20].…”

Section: Introductionmentioning

confidence: 99%

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The Effect of Heat Transfer and Polymer Concentration on Non-Newtonian Fluid from Pore-Scale Simulation of Rock X-ray Micro-CT

et al. 2017

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Most of the pore-scale imaging and simulations of non-Newtonian fluid are based on the simplifying geometry of network modeling and overlook the fluid rheology and heat transfer. In the present paper, we developed a non-isothermal and non-Newtonian numerical model of the flow properties at pore-scale by simulation of the 3D micro-CT images using a Finite Volume Method (FVM). The numerical model is based on the resolution of the momentum and energy conservation equations. Owing to an adaptive mesh generation technique and appropriate boundary conditions, rock permeability and mobility are accurately computed. A temperature and concentration-dependent power-law viscosity model in line with the experimental measurement of the fluid rheology is adopted. The model is first applied at isothermal condition to 2 benchmark samples, namely Fontainebleau sandstone and Grosmont carbonate, and is found to be in good agreement with the Lattice Boltzmann method (LBM). Finally, at non-isothermal conditions, an effective mobility is introduced that enables to perform a numerical sensitivity study to fluid rheology, heat transfer, and operating conditions. While the mobility seems to evolve linearly with polymer concentration in agreement with a derived theoretical model, the effect of the temperature seems negligible by comparison. However, a sharp contrast is found between carbonate and sandstone under the effect of a constant temperature gradient. Besides concerning the flow index and consistency factor, a master curve is derived when normalizing the mobility for both the carbonate and the sandstone.

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Section: Effect Of the Pressure Gradientsupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

The Effect of Heat Transfer and Polymer Concentration on Non-Newtonian Fluid from Pore-Scale Simulation of Rock X-ray Micro-CT

et al. 2017

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“…Clearly, aquatic plants can reduce the erosion of the river bed through slowing down the flow at the river bottom. In addition, the uncertainty is also important for experiments [27,28], and it was calculated using the Taylor Series Method in Table 2. As shown in Table 2, the uncertainty ranges from 0.3 to 1.5 cm/s, which is mainly caused by the fluctuation of flow [29].…”

Section: Mean Streamwise Velocitymentioning

confidence: 99%

Effect of the Number of Leaves in Submerged Aquatic Plants on Stream Flow Dynamics

Yan

Tian

Lei

et al. 2019

Water

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The main purpose of this study is to investigate the effects of aquatic plants with no leaves (L0), 4 leaves (L4), 8 leaves (L8), and 12 leaves (L12) on the mean streamwise velocity, turbulence structure, and Manning's roughness coefficient. The results show that the resistance of submerged aquatic plants to flow velocity is discontinuous between the lower aquatic plant layer and the upper free water layer. This leads to the difference of flow velocity between the upper and lower layers. An increase of the number of leaves leads to an increase in the flow velocity gradient in the upper non-vegetation area and a decrease in the flow velocity in the lower vegetation area. In addition, aquatic plants induce a momentum exchange near the top of the plant and increase the Reynold's stress and turbulent kinetic energy. However, because of the inhibition of leaf area on the momentum exchange, the Reynold's stress and turbulent kinetic energy increase first and then decrease with the increase in the number of leaves. Quadrant analysis shows that ejection and sweep play a dominant role in momentum exchange. Aquatic plants can also increase the Reynold's stress by increasing the ejection and sweep. The Manning's roughness coefficient increases with the increasing number of leaves.

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“…These non-conventional methods usually stem from the limitations of rheometric techniques, rheological measurements from the engineering application itself, and the need for inline measurements. Some of the non-conventional techniques to estimate the rheology are through free surface velocity of the fluid flow [5], flow from spreading of a fluid from gravity currents [6], flow in a narrow channel [7], and ultrasound image velocimetry of flow in pipes [8].…”

Section: Introductionmentioning

confidence: 99%

Rheology of Un-Sieved Concentrated Domestic Slurry: A Wide Gap Approach

Radhakrishnan

Lier

Clemens

2018

Water

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Information on the rheology of domestic slurries is essential in designing pipeline transportation in novel sanitation systems. As concentrated slurries in their original collected state have wide particle size distribution, with particles up to 2 mm, a wide gap rheometer is used to acquire the rheograms. Rheograms obtained from a wide gap rheometer require a method to convert the rotational velocity to the shear rate, and this method must be robust to noisy data and yield stress in the slurry. For this purpose, a Tikhonov regularisation method is chosen as it suits the criteria the best. Using this, the rheograms are obtained for various total suspended solids (TSS) concentrations of slurries. A Herschel-Bulkley rheological model is used to represent the rheology of the slurries. The influence of the change in concentration of the slurries is represented through its influence on the Herschel-Bulkley parameters. The consistency index K exponentially increases with the concentration. The yield stress τ y , is 0 at low concentrations, and above 2.0% TSS (wt./wt.) exponentially increases with the concentration. The behaviour index n , is 1 at low concentrations, and above 2.6% TSS (wt./wt.) it decreases in an inverse power law with the concentration to reach a sort of plateau.

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Gravity-driven flow of Herschel–Bulkley fluid in a fracture and in a 2D porous medium

Cited by 47 publications

References 47 publications

The Effect of Heat Transfer and Polymer Concentration on Non-Newtonian Fluid from Pore-Scale Simulation of Rock X-ray Micro-CT

The Effect of Heat Transfer and Polymer Concentration on Non-Newtonian Fluid from Pore-Scale Simulation of Rock X-ray Micro-CT

Effect of the Number of Leaves in Submerged Aquatic Plants on Stream Flow Dynamics

Rheology of Un-Sieved Concentrated Domestic Slurry: A Wide Gap Approach

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