Numerical investigation of multistability in the unstable flow of a polymer solution through porous media

Kumar, Manish; Aramideh, Soroush; Browne, Christopher; Datta, Sujit S.; Ardekani, Arezoo M.

doi:10.1103/physrevfluids.6.033304

Cited by 39 publications

(54 citation statements)

References 109 publications

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“…There have been various recent advances in modeling viscoelastic porous media flows both experimentally and numerically ( 14 , 27 – 36 ). However, the complexity of the problem has limited numerical simulations to extremely simplified regular geometries ( 32 , 36 ) and/or small computational domains and/or regimes of low

( 31 ).…”

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confidence: 99%

( 31 ). Experimentally, Browne and coworkers ( 27 , 33 ) have achieved the detailed characterization of the pore-scale dynamics in model porous media formed by three-dimensional (3D) random packings of spherical glass particles, correlating a global increase in the pressure drop across the media with the onset of elastic turbulence in the pores.…”

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confidence: 99%

“…This is most conveniently achieved by arrangements of posts forming either linear models of the interconnecting capillary network through the pore space (e.g., refs. 36 , 41 , and 42 ) or two-dimensional (2D) arrays that represent the tortuous flow paths around closely spaced grains (e.g., refs. 14 , 24 , 25 , 28 , 30 , 35 , 43 , and 44 ).…”

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confidence: 99%

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Stagnation points control chaotic fluctuations in viscoelastic porous media flow

Haward

Hopkins

Shen

2021

Proc. Natl. Acad. Sci. U.S.A.

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Viscoelastic flows through porous media become unstable and chaotic beyond critical flow conditions, impacting widespread industrial and biological processes such as enhanced oil recovery and drug delivery. Understanding the influence of the pore structure or geometry on the onset of flow instability can lead to fundamental insights into these processes and, potentially, to their optimization. Recently, for viscoelastic flows through porous media modeled by arrays of microscopic posts, Walkama et al. [D. M. Walkama, N. Waisbord, J. S. Guasto, Phys. Rev. Lett. 124, 164501 (2020)] demonstrated that geometric disorder greatly suppressed the strength of the chaotic fluctuations that arose as the flow rate was increased. However, in that work, disorder was only applied to one originally ordered configuration of posts. Here, we demonstrate experimentally that, given a slightly modified ordered array of posts, introducing disorder can also promote chaotic fluctuations. We provide a unifying explanation for these contrasting results by considering the effect of disorder on the occurrence of stagnation points exposed to the flow field, which depends on the nature of the originally ordered post array. This work provides a general understanding of how pore geometry affects the stability of viscoelastic porous media flows.

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( 31 ).…”

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Stagnation points control chaotic fluctuations in viscoelastic porous media flow

Haward

Hopkins

Shen

2021

Proc. Natl. Acad. Sci. U.S.A.

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“…This would allow us to see how they interact or interfere with each other and if any of the effects presented here are confirmed on a larger scale or if other new dynamics come up. It is hoped that our experimental results in this and future work will provide useful data for the validation of theoretical studies on such flows in terms of appropriate constitutive models (e.g., Oldroyd-B [ 87 ] and FENE-P [ 88 , 89 ] models).…”

Section: Discussionmentioning

confidence: 99%

Flow of Non-Newtonian Fluids in a Single-Cavity Microchannel

Raihan

Jagdale

et al. 2021

Micromachines

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Having a basic understanding of non-Newtonian fluid flow through porous media, which usually consist of series of expansions and contractions, is of importance for enhanced oil recovery, groundwater remediation, microfluidic particle manipulation, etc. The flow in contraction and/or expansion microchannel is unbounded in the primary direction and has been widely studied before. In contrast, there has been very little work on the understanding of such flow in an expansion–contraction microchannel with a confined cavity. We investigate the flow of five types of non-Newtonian fluids with distinct rheological properties and water through a planar single-cavity microchannel. All fluids are tested in a similarly wide range of flow rates, from which the observed flow regimes and vortex development are summarized in the same dimensionless parameter spaces for a unified understanding of the effects of fluid inertia, shear thinning, and elasticity as well as confinement. Our results indicate that fluid inertia is responsible for developing vortices in the expansion flow, which is trivially affected by the confinement. Fluid shear thinning causes flow separations on the contraction walls, and the interplay between the effects of shear thinning and inertia is dictated by the confinement. Fluid elasticity introduces instability and asymmetry to the contraction flow of polymers with long chains while suppressing the fluid inertia-induced expansion flow vortices. However, the formation and fluctuation of such elasto-inertial fluid vortices exhibit strong digressions from the unconfined flow pattern in a contraction–expansion microchannel of similar dimensions.

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“…Furthermore, they also observed that the onset of this elastic turbulence depends on many factors such as the ionic strength, the type of cation in the anionic HPAM solution, and the nature of pore configuration. More recently, Kumar et al 34 did a numerical study using the FENE-P viscoelastic constitutive equation and found the existence of multiple distinct and unstable flow structures inside the pores. They showed that the stretching of polymer molecules facilitates the eddy formation, whereas their relaxation suppresses its formation.…”

Section: Introductionmentioning

confidence: 99%

Flow dynamics of wormlike micellar solutions through a model porous media

Khan¹,

Sasmal²

2021

Preprint

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The flow of viscoelastic wormlike micellar solutions (WLMs) in porous media is encountered in many practical applications like enhanced oil recovery or groundwater remediation. To understand the flow dynamics of these complex fluids in porous media, a model porous media consisting of a straight microchannel with micropore throats present in it, is very often used. In this study, we perform an extensive numerical investigation to understand the flow dynamics of wormlike micellar solutions based on the two-species Vasquez-Cook-McKinley (VCM) model for micelles through such model porous media. We find the existence of an elastic instability once the Weissenberg number exceeds a critical value; likewise, it was seen in many prior experimental and numerical studies dealing with polymer solutions. However, for the present case of a WLM solution, we observe that this elastic instability is greatly influenced by the breakage and reformation mechanisms of the wormlike micelles. In particular, we notice that the intensity of this instability (characterized by the fluctuating flow fields) increases as the Weissenberg number increases; however, beyond a critical value of it, this elastic instability and/or the flow field fluctuation is suppressed because of the breakage of long micelles. This is in contrast to the polymer solutions for which the flow field gradually transits to a more chaotic and turbulent-like state (or the so-called elastic turbulence state) as the Weissenberg number gradually increases. Additionally, we observe that the flow dynamics of these WLM solutions are strongly dependent on the type of micropore throat, the number of pore throats, and the spacing between two consecutive pore throats. An extensive discussion on the pressure drop and apparent viscosity is also presented in the present study. Although this study is carried out for a model porous media; however, we hope it will facilitate a better understanding of the flow behaviour of wormlike micellar solutions in an actual more complex porous media.

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Numerical investigation of multistability in the unstable flow of a polymer solution through porous media

Cited by 39 publications

References 109 publications

Stagnation points control chaotic fluctuations in viscoelastic porous media flow

Stagnation points control chaotic fluctuations in viscoelastic porous media flow

Flow of Non-Newtonian Fluids in a Single-Cavity Microchannel

Flow dynamics of wormlike micellar solutions through a model porous media

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