Extra dissipation and flow uniformization due to elastic instabilities of shear-thinning polymer solutions in model porous media

Machado, Anaïs; Bodiguel, Hugues; Beaumont, Julien; Clisson, Gérald; Colin, Annie

doi:10.1063/1.4954813

Cited by 21 publications

(25 citation statements)

References 35 publications

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“…Interestingly, some simulations suggest that shear‐thinning effects are often unimportant in polymer solution flow through a porous medium, and flow behaviors are primarily determined by the coupling between pore space geometry and the elastic properties of the fluid . Others, however, contend that shear‐thinning effects dominate the flow behavior …”

Section: Steady Flow Properties Of Bulk Polymer Solutionsmentioning

confidence: 99%

“…[54] Others, however, contend that shear-thinning effects dominate the flow behavior. [55] Extensional flows also arise as the fluid traverses successive expansions and contractions in the pore space. This form of flow produces an additional deviation from the Newtonian viscosity in the form of an extensional viscosity, which is absent in Newtonian fluids under typical conditions:…”

Section: Shear and Extensional Viscositymentioning

confidence: 99%

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Pore‐Scale Flow Characterization of Polymer Solutions in Microfluidic Porous Media

Browne

Shih

Datta

2019

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Polymer solutions are frequently used in enhanced oil recovery and groundwater remediation to improve the recovery of trapped nonaqueous fluids. However, applications are limited by an incomplete understanding of the flow in porous media. The tortuous pore structure imposes both shear and extension, which elongates polymers; moreover, the flow is often at large Weissenberg numbers, Wi, at which polymer elasticity in turn strongly alters the flow. This dynamic elongation can even produce flow instabilities with strong spatial and temporal fluctuations despite the low Reynolds number, Re. Unfortunately, macroscopic approaches are limited in their ability to characterize the pore‐scale flow. Thus, understanding how polymer conformations, flow dynamics, and pore geometry together determine these nontrivial flow patterns and impact macroscopic transport remains an outstanding challenge. This review describes how microfluidic tools can shed light on the physics underlying the flow of polymer solutions in porous media at high Wi and low Re. Specifically, microfluidic studies elucidate how steady and unsteady flow behavior depends on pore geometry and solution properties, and how polymer‐induced effects impact nonaqueous fluid recovery. This work thus provides new insights for polymer dynamics, non‐Newtonian fluid mechanics, and applications such as enhanced oil recovery and groundwater remediation.

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Section: Steady Flow Properties Of Bulk Polymer Solutionsmentioning

confidence: 99%

Section: Shear and Extensional Viscositymentioning

confidence: 99%

Pore‐Scale Flow Characterization of Polymer Solutions in Microfluidic Porous Media

Browne

Shih

Datta

2019

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“…These changes in the particle trajectories are consistent with earlier observations of flow features arising from the viscoelasticity of the polymer solution. Elastic instabilities that occur when polymer solutions flow through confined geometries are known to generate fluctuations in streamlines [54], and additionally cause local pressure variations that lead to temporary pressure gradients in otherwise stagnant areas [43,59] and enhance mixing [60]. These instabilities typically appear at Weissenberg numbers greater than 1, with the value of the onset depending on geometry.…”

Section: A Flow Profiles Within Model Porous Mediamentioning

confidence: 99%

Particle dispersion in porous media: Differentiating effects of geometry and fluid rheology

2017

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We investigate the effects of geometric order and fluid rheology on the dispersion of micron-sized particles in two-dimensional microfluidic porous media. Particles suspended in a mixture of glycerol and water or in solutions of partially hydrolyzed polyacrylamide (HPAM) polymers were imaged as they flowed through arrays of microscale posts. From the trajectories of the particles, we calculated the velocity distributions and thereafter obtained the longitudinal and transverse dispersion coefficients. Particles flowed in the shear-thinning HPAM solution through periodic arrays of microposts were more likely to switch between streamlines, due to elastic instabilities. As a result, the distributions of particle velocity were broader in HPAM solutions than in glycerol-water mixtures for ordered geometries. In a disordered array of microposts, however, there was little difference between the velocity distributions obtained in glycerol-water and in HPAM solutions. Correspondingly, particles flowed through ordered post arrays in HPAM solutions exhibited enhanced transverse dispersion. This result suggests that periodic geometric order amplifies the effects of the elasticity-induced velocity fluctuations, whereas geometric disorder of barriers effectively averages out the fluctuations.

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“…From an experimental perspective, the study of drying has also benefited from the use of model systems, geometrically much simpler than a 'real' porous medium, such as the packing of beads confined in a Hele-Shaw cell (Shaw 1987) or microfabricated quasi-two-dimensional model porous media, hereafter called micromodels (Laurindo & Prat 1998). Note, however, that such studies are relatively few, especially when compared to other 'classical' porous-media-related research topics, where micromodels have became a standard tool since the pioneering works of Lenormand, Touboul & Zarcone (1988) -see, for instance, recent works on supercritical CO 2 trapping (Hu et al 2017), oil recovery (Lacey et al 2017), rheology (Machado et al 2016) or immiscible fluid displacement (Jung et al 2016). Regarding drying, recent advances have come from a simpler model system that retains the liquid film ingredient: capillary tubes with polygonal cross-sections Keita et al 2016).…”

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confidence: 99%

Evaporation with the formation of chains of liquid bridges

et al. 2018

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OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. This is an author-deposited version published in : http://oatao. The objective of the present work is to study the drying of a quasi-two-dimensional model porous medium, hereafter called the micromodel, initially filled w ith a pure liquid. The micromodel consists of cylinders measuring 50 µm in both height and diameter, radially arranged as a set of neighbouring spirals and sandwiched between two horizontal flat p lates. A s d rying p roceeds, a ir i nvades t he p ore space and elongated liquid films t rapped b y c apillary f orces f orm a long t he s pirals. These films c onsist o f ' chains' o f l iquid b ridges c onnecting n eighbouring c ylinders. They provide hydraulic connectivity between the central bulk liquid cluster and the external rim of the cylinder pattern, where evaporation takes place during a first constant-evaporation-rate drying stage. The first g oal o f t he p resent p aper i s to describe experimentally the phase distribution during drying, notably the evolution of liquid films, w hich c ontrols t he e vaporation k inetics ( e.g. t he d epinning o f t he films from the external rim signals the end of the constant-evaporation-rate period). Then, a viscocapillary model for the drying process is presented. It is based on numerical simulations of a liquid film c apillary s hape a nd v iscous fl ow wi thin a fil m. The model shows a reasonably good agreement with the experimental data. Thus, the present study is a step towards direct modelling of the effect of films o n t he drying of more complex porous media (e.g. packing of beads) and should be of interest for multiphase flow a pplications i n p orous m edia, i nvolving t ransport w ithin l iquid films.

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Extra dissipation and flow uniformization due to elastic instabilities of shear-thinning polymer solutions in model porous media

Cited by 21 publications

References 35 publications

Pore‐Scale Flow Characterization of Polymer Solutions in Microfluidic Porous Media

Pore‐Scale Flow Characterization of Polymer Solutions in Microfluidic Porous Media

Particle dispersion in porous media: Differentiating effects of geometry and fluid rheology

Evaporation with the formation of chains of liquid bridges

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