scholarly journals Fluid Rheological Effects on the Flow of Polymer Solutions in a Contraction–Expansion Microchannel

Micromachines ◽  
2020 ◽  
Vol 11 (3) ◽  
pp. 278 ◽  
Author(s):  
Purva P. Jagdale ◽  
Di Li ◽  
Xingchen Shao ◽  
Joshua B. Bostwick ◽  
Xiangchun Xuan

A fundamental understanding of the flow of polymer solutions through the pore spaces of porous media is relevant and significant to enhanced oil recovery and groundwater remediation. We present in this work an experimental study of the fluid rheological effects on non-Newtonian flows in a simple laboratory model of the real-world pores—a rectangular sudden contraction–expansion microchannel. We test four different polymer solutions with varying rheological properties, including xanthan gum (XG), polyvinylpyrrolidone (PVP), polyethylene oxide (PEO), and polyacrylamide (PAA). We compare their flows against that of pure water at the Reynolds ( R e ) and Weissenburg ( W i ) numbers that each span several orders of magnitude. We use particle streakline imaging to visualize the flow at the contraction–expansion region for a comprehensive investigation of both the sole and the combined effects of fluid shear thinning, elasticity and inertia. The observed flow regimes and vortex development in each of the tested fluids are summarized in the dimensionless W i − R e and χ L − R e parameter spaces, respectively, where χ L is the normalized vortex length. We find that fluid inertia draws symmetric vortices downstream at the expansion part of the microchannel. Fluid shear thinning causes symmetric vortices upstream at the contraction part. The effect of fluid elasticity is, however, complicated to analyze because of perhaps the strong impact of polymer chemistry such as rigidity and length. Interestingly, we find that the downstream vortices in the flow of Newtonian water, shear-thinning XG and elastic PVP solutions collapse into one curve in the χ L − R e space.

Micromachines ◽  
2021 ◽  
Vol 12 (7) ◽  
pp. 836
Author(s):  
Mahmud Kamal Raihan ◽  
Purva P. Jagdale ◽  
Sen Wu ◽  
Xingchen Shao ◽  
Joshua B. Bostwick ◽  
...  

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.


SPE Journal ◽  
2021 ◽  
pp. 1-12
Author(s):  
Irfan Tai ◽  
Marie Ann Giddins ◽  
Ann Muggeridge

Summary The viability of any enhanced-oil-recovery project depends on the ability to inject the displacing fluid at an economic rate. This is typically evaluated using finite-volume numerical simulation. These simulators calculate injectivity using the Peaceman method (Peaceman 1978), which assumes that flow is Newtonian. Most polymer solutions exhibit some degree of non-Newtonian behavior resulting in a changing polymer viscosity with distance from the injection well. For shear-thinning polymer solutions, conventional simulations can overpredict injection-well bottomhole pressure (BHP) by several hundred psi, unless a computationally costly local grid refinement is used in the near-wellboreregion. We show theoretically and numerically that the Peaceman pressure-equivalent radius, based on Darcy flow, is not correct when fluids are shear thinning, and derive an analytical expression for calculating the correct radius. The expression does not depend on any particular functional relationship between polymer-solution viscosity and velocity. We test it using the relationship described by the Meter equation (Meter and Bird 1964) and the Cannella et al. (1988) correlation. Numerical tests indicate that the solution provides a significant improvement in the accuracy of BHP calculations for conventional numerical simulation, reducing or removing the need for expensive local grid refinement around the well when simulating the injection of fluids with shear-thinningnon-Newtonianrheology.


AIP Advances ◽  
2021 ◽  
Vol 11 (5) ◽  
pp. 055121
Author(s):  
Shikai Wang ◽  
Leiting Shi ◽  
Zhongbin Ye ◽  
Xiaoqin Zhang ◽  
Long Zhang ◽  
...  

1982 ◽  
Vol 120 ◽  
pp. 245-266 ◽  
Author(s):  
Simon L. Goren ◽  
Moshe Gottlieb

A linearized stability analysis is carried out for the breakup of small-diameter liquid filaments of dilute polymer solutions into droplets. Oldroyd's 8-constant model expressed in a corotational reference frame is used as the rheological equation of state. The crucial idea in this theory is the recognition that the liquid may be subject to an unrelaxed axial tension due to its prior history. If the tension is zero, the present analysis predicts that jets of shear-thinning liquids are less stable than comparable jets of Newtonian liquids; this is in agreement with previous analyses. However, when the axial tension is not zero, and provided the stress relaxation time constant is sufficiently large, the new theory predicts that the axial elastic tension can be a significant stabilizing influence. With reasonable values for the tension and stress relaxation time the theory explains the great stability observed for jets of some shear- thinning, dilute polymer solutions. The theory explains why drops produced from jets of such liquids are larger than drops from corresponding Newtonian liquids. The theory also appears capable of explaining the sudden appearance of irregularly spaced bulges on jets after long distances of t,ravel with little amplification of disturbances.


Membranes ◽  
2018 ◽  
Vol 8 (3) ◽  
pp. 78 ◽  
Author(s):  
Remya Nair ◽  
Evgenia Protasova ◽  
Skule Strand ◽  
Torleiv Bilstad

A predictive model correlating the parameters in the mass transfer-based model Spiegler–Kedem to the pure water permeability is presented in this research, which helps to select porous polyamide membranes for enhanced oil recovery (EOR) applications. Using the experimentally obtained values of flux and rejection, the reflection coefficient σ and solute permeability Ps have been estimated as the mass transfer-based model parameters for individual ions in seawater. The reflection coefficient and solute permeability determined were correlated with the pure water permeability of a membrane, which is related to the structural parameters of a membrane. The novelty of this research is the development of a model that consolidates the various complex mechanisms in the mass transfer of ions through the membrane to an empirical correlation for a given feed concentration and membrane type. These correlations were later used to predict ion rejections of any polyamide membrane with a known pure water permeability and flux with seawater as a feed that aids in the selection of suitable nanofiltration (NF) for smart water production.


2020 ◽  
Vol 143 (6) ◽  
Author(s):  
Pan-Sang Kang ◽  
Jong-Se Lim ◽  
Chun Huh

Abstract The viscosity of injection fluid is a critical parameter that should be considered for the design and evaluation of polymer flood, which is an effective and popular technique for enhanced oil recovery (EOR). It is known that the shear-thinning behavior of EOR polymer solutions is affected by temperature. In this study, temperature dependence (25–70 °C) of the viscosity of a partially hydrolyzed polyacrylamide solution, the most widely used EOR polymer for oil field applications, was measured under varying conditions of the polymer solution (polymer concentration: 500–3000 ppm, NaCl salinity: 1000–10,000 ppm). Under all conditions of the polymer solution, it was observed that the viscosity decreases with increasing temperature. The degree of temperature dependence, however, varies with the conditions of the polymer solution. Martin model and Lee correlations were used to estimate the dependence of the viscosity of the polymer solution on the polymer concentration and salinity. In this study, we proposed a new empirical model to better elucidate the temperature dependence of intrinsic viscosity. Analysis of the measured viscosities shows that the accuracy of the proposed temperature model is higher than that of the existing temperature model.


SPE Journal ◽  
2019 ◽  
Vol 25 (01) ◽  
pp. 465-480 ◽  
Author(s):  
Stephane Jouenne ◽  
Guillaume Heurteux

Summary When injected at high flow rates in a porous medium, polymer solutions exhibit a resistance to flow that is a signature of chain conformation and size. For biopolymers, which exist in solution as semirigid rods, mobility reduction follows the shear-thinning behavior measured in shear flow on a rheometer. For flexible coils, such as hydrolyzed polyacrylamide (HPAM), flow thickening is observed in a porous medium, whereas bulk viscosity presents a shear-thinning behavior. This difference is the result of the complex flow experienced in the porous medium, combined with the viscoelastic properties at large strains of the solutions. In this study, we investigate the effect of physicochemical parameters such as salinity, polymer concentration, molecular weight, and degradation state on the mobility reduction in a porous medium at high flow rates. All the experiments are performed on a short-length, 4-darcy sintered ceramic core. The bell shape of the mobility-reduction curves (mobility reduction vs. flow rate) is characterized by three parameters: the onset rate of flow thickening (QC), the maximum of mobility reduction (Rmmax), and the flow rate at which this maximum occurs (Qmax). Curves are rescaled by use of the two groups, Rm/Rmmax and β×Q, where β accounts for the shift in Qmax when physicochemical conditions are varied. After rescaling, all the normalized mobility-reduction curves are superposed. We show that the two parameters Rmmax and β are not correlated with the bulk viscosity of the solutions but rather with their elasticity evaluated through screen-factor measurement. This old and rough measurement, widely used in the enhanced-oil-recovery (EOR) community to evaluate “solution elasticity,” is an indirect measurement of the extensional viscosity of polymer solutions. The pertinence and the physical meaning of this rough measurement are assessed through comparison with measurements performed on a newly developed extensional viscometer [EVROC™ (Extensional Viscometer/Rheometer On a Chip), RheoSense, Inc., San Ramon, California, USA], which consists of measuring the pressure drop when the fluid is injected through a hyperbolic contraction (in which the strain rate is constant at the centerline). A correlation of “screen factor” vs. “extensional viscosity” is obtained. These results give some insight on the behavior of polymer solutions in injectivity conditions along with a method to characterize their elastic properties from bulk measurements. Finally, the inadequacy of traditional small-strain viscoelastic measurements to characterize the elastic behavior of polymer solutions at large strain is discussed.


Sign in / Sign up

Export Citation Format

Share Document