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Journal articles on the topic 'Viscoelastic fluid'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Li, Chuanbin, Boyang Qin, Arvind Gopinath, Paulo E. Arratia, Becca Thomases, and Robert D. Guy. "Flagellar swimming in viscoelastic fluids: role of fluid elastic stress revealed by simulations based on experimental data." Journal of The Royal Society Interface 14, no. 135 (2017): 20170289. http://dx.doi.org/10.1098/rsif.2017.0289.

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Many important biological functions depend on microorganisms' ability to move in viscoelastic fluids such as mucus and wet soil. The effects of fluid elasticity on motility remain poorly understood, partly because the swimmer strokes depend on the properties of the fluid medium, which obfuscates the mechanisms responsible for observed behavioural changes. In this study, we use experimental data on the gaits of Chlamydomonas reinhardtii swimming in Newtonian and viscoelastic fluids as inputs to numerical simulations that decouple the swimmer gait and fluid type in order to isolate the effect of

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2

Song, Jinhyeuk, Jaekyeong Jang, Taehoon Kim, and Younghak Cho. "Particle Separation in a Microchannel with a T-Shaped Cross-Section Using Co-Flow of Newtonian and Viscoelastic Fluids." Micromachines 14, no. 10 (2023): 1863. http://dx.doi.org/10.3390/mi14101863.

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In this study, we investigated the particle separation phenomenon in a microchannel with a T-shaped cross-section, a unique design detailed in our previous study. Utilizing a co-flow system within this T-shaped microchannel, we examined two types of flow configuration: one where a Newtonian fluid served as the inner fluid and a viscoelastic fluid as the outer fluid (Newtonian/viscoelastic), and another where both the inner and outer fluids were Newtonian fluids (Newtonian/Newtonian). We introduced a mixture of three differently sized particles into the microchannel through the outer fluid and

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3

Bizhani, M., and E. Kuru. "Particle Removal From Sandbed Deposits in Horizontal Annuli Using Viscoelastic Fluids." SPE Journal 23, no. 02 (2017): 256–73. http://dx.doi.org/10.2118/189443-pa.

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Summary This paper presents results of an experimental study on how fluid viscoelastic properties would influence the particle removal from the sandbed deposited in horizontal annuli. Water and two different viscoelastic fluids were used for bed-erosion experiments. The particle-image-velocimetry (PIV) technique was used to measure the local fluid velocity at the fluid/sandbed interface, allowing for accurate estimation of the fluid-drag forces and the turbulence stresses. It was found that polymer fluids needed to exert higher level drag forces (than those of water) on the sandbed to start mo

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4

FUKUMA, MASAFUMI, and YUHO SAKATANI. "RELATIVISTIC VISCOELASTIC FLUID MECHANICS." International Journal of Modern Physics: Conference Series 21 (January 2013): 189–90. http://dx.doi.org/10.1142/s2010194513009744.

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We explain the relativistic theory of viscoelasticity which we have recently constructed on the basis of Onsager's linear nonequilibrium thermodynamics. This theory universally reduces to the standard relativistic Navier-Stokes fluid mechanics in the long time limit. Since effects of elasticity are taken into account, the dynamics at short time scales is modified from that given by the Navier-Stokes equations, so that acausal problems intrinsic to relativistic Navier-Stokes fluids are significantly remedied. We then present conformal higher-order viscoelastic fluid mechanics with strain allowe

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Khan, Nabeel, Farhad Ali, Ilyas Khan, and Nadeem Ahmad Sheikh. "A scientific report on the flow of Maxwell fluid with heat transfer in vertical oscillating cylinder." City University International Journal of Computational Analysis 1, no. 1 (2019): 10–19. http://dx.doi.org/10.33959/cuijca.v1i1.18.

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The nonlinear nature of viscoelastic non-Newtonian fluids, introduce a unique challenge to physicists and mathematicians. By developing and utilizing viscoelastic models can play a special role in saving and treatments of every living species and to describe its particular characteristics. In the past three decades, viscoelastic fluid models are focused to improve its accuracy and reliability. Some rate type viscoelastic fluids include Maxwell fluid which effects in relaxation time. Such effect of relaxation time cannot be predicted by differential-type fluids. The polymers of low molecular we

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6

Yuan, Chao, Hong-Na Zhang, Yu-Ke Li, Xiao-Bin Li, Jian Wu, and Feng-Chen Li. "Nonlinear effects of viscoelastic fluid flows and applications in microfluidics: A review." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 22 (2020): 4390–414. http://dx.doi.org/10.1177/0954406220922863.

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Viscoelastic fluid naturally has both viscous and elastic properties. Therefore, there are two sources of nonlinear effects, namely inertial and elastic nonlinearities. The existence of elastic nonlinearity brings about various interesting flow phenomena in viscoelastic fluid flow, especially in microfluidics where the inertial nonlinearity can be negligible while the elastic nonlinearity can dominate the flow. Specifically, purely elasticity-induced instability and turbulence can occur in microchannels when the elastic nonlinearity is strong enough. Recently, those intriguing properties of vi

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7

Makarynska, Dina, Boris Gurevich, Jyoti Behura, and Mike Batzle. "Fluid substitution in rocks saturated with viscoelastic fluids." GEOPHYSICS 75, no. 2 (2010): E115—E122. http://dx.doi.org/10.1190/1.3360313.

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Heavy oils have high densities and extremely high viscosities, and they exhibit viscoelastic behavior. Traditional rock physics based on Gassmann theory does not apply to materials saturated with viscoelastic fluids. We use an effective-medium approach known as coherent potential approximation (CPA) as an alternative fluid-substitution scheme for rocks saturated with viscoelastic fluids. Such rocks are modeled as solids with elliptical fluid inclusions when fluid concentration is small and as suspensions of solid particles in the fluid when the solid concentration is small. This approach is co

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8

Yasappan, Justine, Ángela Jiménez-Casas, and Mario Castro. "Asymptotic Behavior of a Viscoelastic Fluid in a Closed Loop Thermosyphon: Physical Derivation, Asymptotic Analysis, and Numerical Experiments." Abstract and Applied Analysis 2013 (2013): 1–20. http://dx.doi.org/10.1155/2013/748683.

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Fluids subject to thermal gradients produce complex behaviors that arise from the competition with gravitational effects. Although such sort of systems have been widely studied in the literature for simple (Newtonian) fluids, the behavior of viscoelastic fluids has not been explored thus far. We present a theoretical study of the dynamics of a Maxwell viscoelastic fluid in a closed-loop thermosyphon. This sort of fluid presents elastic-like behavior and memory effects. We study the asymptotic properties of the fluid inside the thermosyphon and the exact equations of motion in the inertial mani

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9

Hsu, C. H., S. Y. Hu, K. Y. Kung, C. C. Kuo, and C. C. Chang. "A Study on the Flow Patterns of a Second Grade Viscoe-Lastic Fluid Past a Cavity in a Horizontal Channel." Journal of Mechanics 29, no. 2 (2012): 207–15. http://dx.doi.org/10.1017/jmech.2012.143.

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AbstractThis paper studies the behavior of second grade viscoelastic fluid past a cavity in a horizontal channel. The effects of Reynolds number, fluid elasticity and the aspect ratio of the cavity on the flow field are simulated numerically. The equations are converted into the vorticity and stream function equations. The solution is obtained by the finite difference method.The behavior of viscoelastic fluids is quite different from the Newtonian fluid, due to the effects of fluid elasticity. Only one flow pattern appears when the Newtonian fluid past the cavity. However, three kinds of flow

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10

Chen, Dilin, Jie Li, Haiwen Chen, Lai Zhang, Hongna Zhang, and Yu Ma. "Electroosmotic Flow Behavior of Viscoelastic LPTT Fluid in a Microchannel." Micromachines 10, no. 12 (2019): 881. http://dx.doi.org/10.3390/mi10120881.

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In many research works, the fluid medium in electroosmosis is considered to be a Newtonian fluid, while the polymer solutions and biological fluids used in biomedical fields mostly belong to the non-Newtonian category. Based on the finite volume method (FVM), the electroosmotic flow (EOF) of viscoelastic fluids in near-neutral (pH = 7.5) solution considering four ions (K+, Cl−, H+, OH−) is numerically studied, as well as the viscoelastic fluids’ flow characteristics in a microchannel described by the Linear Phan-Thien–Tanner (LPTT) constitutive model under different conditions, including the e

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11

Wang, Fang, and Yu Wang. "A Finite Difference Method for Solving Unsteady Fractional Oldroyd-B Viscoelastic Flow Based on Caputo Derivative." Advances in Mathematical Physics 2023 (April 29, 2023): 1–22. http://dx.doi.org/10.1155/2023/8963904.

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In this paper, the effect of a fractional constitutive model on the rheological properties of fluids and its application in numerical simulation are investigated, which is important to characterize the rheological properties of fluids and physical characteristics of materials more accurately. Based on this consideration, numerical simulation and analytical study of unsteady fractional Oldroyd-B viscoelastic flow are carried out. In order to improve the degree of accuracy, the mixed partial derivative including the fractional derivative in the differential equation is converted effectively by i

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12

Guillopé, Colette, and Jean-Claude Saut. "Existence and stability of steady flows of weakly viscoelastic fluids." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 119, no. 1-2 (1991): 137–58. http://dx.doi.org/10.1017/s0308210500028377.

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SynopsisWe consider steady flows of viscoelastic fluids for which the extrastress tensor is given by a differential constitutive equation and is such that the retardation time is large (weakly viscoelastic fluids).We show the existence of a unique viscoelastic steady flow close to a given Newtonian flow and investigate its linear stability.As an example, we consider the Bénard problem for viscoelastic fluids and we prove that there exists a nontrivial linearly stable flow of a weakly viscoelastic fluid in a container heated from below.

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13

Huang, Jingting, Liqiong Chen, Shuxuan Li, Jinghang Guo, and Yuanyuan Li. "Numerical Study for the Performance of Viscoelastic Fluids on Displacing Oil Based on the Fractional-Order Maxwell Model." Polymers 14, no. 24 (2022): 5381. http://dx.doi.org/10.3390/polym14245381.

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In the study of polymer flooding, researchers usually ignore the genetic stress properties of viscoelastic fluids. In this paper, we investigate the process of viscoelastic fluid flooding the remaining oil in the dead end. This work uses the fractional-order Maxwell in the traditional momentum equation. Furthermore, a semi-analytic solution of the flow control equation for fractional-order viscoelastic fluids is derived, and the oil-repelling process of viscoelastic fluids is simulated by a secondary development of OpenFOAM. The results show that velocity fractional-order derivative α signific

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14

Procopio, Giuseppe, and Massimiliano Giona. "Modal Representation of Inertial Effects in Fluid–Particle Interactions and the Regularity of the Memory Kernels." Fluids 8, no. 3 (2023): 84. http://dx.doi.org/10.3390/fluids8030084.

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This article develops a modal expansion (in terms of functions exponentially decaying with time) of the force acting on a micrometric particle and stemming from fluid inertial effects (usually referred to as the Basset force) deriving from the application of the time-dependent Stokes equation to model fluid–particle interactions. One of the main results is that viscoelastic effects induce the regularization of the inertial memory kernels at t=0, eliminating the 1/t-singularity characterizing Newtonian fluids. The physical origin of this regularization stems from the finite propagation velocity

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15

Rusak, Zvi, Nguyen Ly, John A. Tichy, and Shixiao Wang. "Near-critical swirling flow of a viscoelastic fluid in a circular pipe." Journal of Fluid Mechanics 814 (February 6, 2017): 325–60. http://dx.doi.org/10.1017/jfm.2017.16.

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The interaction between flow inertia and elasticity in high-Reynolds-number, axisymmetric and near-critical swirling flows of an incompressible and viscoelastic fluid in an open finite-length straight circular pipe is studied at the limit of low elasticity. The stresses of the viscoelastic fluid are described by the generalized Giesekus constitutive model. This model helps to focus the analysis on low fluid elastic effects with shear thinning of the viscosity. The application of the Giesekus model to columnar streamwise vortices is first investigated. Then, a nonlinear small-disturbance analys

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16

Alves, M. A., P. J. Oliveira, and F. T. Pinho. "Numerical Methods for Viscoelastic Fluid Flows." Annual Review of Fluid Mechanics 53, no. 1 (2021): 509–41. http://dx.doi.org/10.1146/annurev-fluid-010719-060107.

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Complex fluids exist in nature and are continually engineered for specific applications involving the addition of macromolecules to a solvent, among other means. This imparts viscoelasticity to the fluid, a property responsible for various flow instabilities and major modifications to the fluid dynamics. Recent developments in the numerical methods for the simulation of viscoelastic fluid flows, described by continuum-level differential constitutive equations, are surveyed, with a particular emphasis on the finite-volume method. This method is briefly described, and the main benchmark flows cu

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17

Xu, Zhengming, Xianzhi Song, and Zhaopeng Zhu. "Development of Elastic Drag Coefficient Model and Explicit Terminal Settling Velocity Equation for Particles in Viscoelastic Fluids." SPE Journal 25, no. 06 (2020): 2962–83. http://dx.doi.org/10.2118/201194-pa.

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Summary Viscoelastic fluids are frequently used as drilling or fracturing fluids to enhance cuttings or proppant transport efficiency. The solid transport performance of these fluids largely depends on the settling behaviors of suspended particles. Different from viscoinelastic fluids, the elastic and viscous characteristics of viscoelastic fluids both affect particle settling behaviors. In this study, to separately quantify the contribution degrees of the shear viscosity and fluid elasticity on the terminal settling velocity, we decompose the total drag force into a viscous drag force and an

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18

Sasmal, Chandi. "Electro-Elastic Instability and Turbulence in Electro-osmotic Flows of Viscoelastic Fluids: Current Status and Future Directions." Micromachines 16, no. 2 (2025): 187. https://doi.org/10.3390/mi16020187.

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The addition of even minute amounts of solid polymers, measured in parts per million (ppm), into a simple Newtonian fluid like water significantly alters the flow behavior of the resulting polymer solutions due to the introduction of fluid viscoelasticity. This viscoelastic behavior, which arises due to the stretching and relaxation phenomena of polymer molecules, leads to complex flow dynamics that are starkly different from those seen in simple Newtonian fluids under the same conditions. In addition to polymer solutions, many other fluids, routinely used in various industries and our daily l

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19

Zhurba Eremeeva, I. A., D. Scerrato, C. Cardillo, and A. Tran. "A MATHEMATICAL MODEL OF NONSTATIONARY MOTION OF A VISCOELASTIC FLUID IN ROLLER BEARINGS." Problems of strenght and plasticity 81, no. 4 (2019): 500–511. http://dx.doi.org/10.32326/1814-9146-2019-81-4-500-511.

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Nowadays, the emergence of new lubricants requires an enhancement of the rheological models and methods used for solution of corresponding initial boundary-value problems. In particular, models that take into account viscoelastic properties are of great interest. In the present paper we consider the mathematical model of nonstationary motion of a viscoelastic fluid in roller bearings. We used the Maxwell fluid model for the modeling of fluid properties. The viscoelastic properties are exhibited by many lubricants that use polymer additives. In addition, viscoelastic properties can be essential

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20

Zhurba Eremeeva, I. A., D. Scerrato, C. Cardillo, and A. Tran. "A MATHEMATICAL MODEL OF NONSTATIONARY MOTION OF A VISCOELASTIC FLUID IN ROLLER BEARINGS." Problems of strenght and plasticity 81, no. 4 (2019): 501–12. http://dx.doi.org/10.32326/1814-9146-2019-81-4-501-512.

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Nowadays, the emergence of new lubricants requires an enhancement of the rheological models and methods used for solution of corresponding initial boundary-value problems. In particular, models that take into account viscoelastic properties are of great interest. In the present paper we consider the mathematical model of nonstationary motion of a viscoelastic fluid in roller bearings. We used the Maxwell fluid model for the modeling of fluid properties. The viscoelastic properties are exhibited by many lubricants that use polymer additives. In addition, viscoelastic properties can be essential

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21

Loginova, Marianna E., and Farit A. Agzamov. "Viscoelastic systems for well construction." Kazakhstan journal for oil & gas industry 4, no. 1 (2022): 58–68. http://dx.doi.org/10.54859/kjogi104413.

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One of the most important factors ensuring the required quality of well cementing is the use of effective flushing fluids (spacers). Among these fluids are viscoelastic systems (VES), which provide the best displacement of the drilling fluid during the cementing process. The article discusses the mechanism of polymerization of viscoelastic systems when using polyacrylamide cross-linked with polyvalent metal cations and the prospects for using these systems for oil and gas wells cementing. Models of the viscoelastic systems flow and their differences due to the presence of normal stresses

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22

Yuan, Chao, Hong-Na Zhang, Li-Xia Chen, Jun-Long Zhao, Xiao-Bin Li, and Feng-Chen Li. "Numerical Study on the Characteristics of Boger Type Viscoelastic Fluid Flow in a Micro Cross-Slot under Sinusoidal Stimulation." Entropy 22, no. 1 (2020): 64. http://dx.doi.org/10.3390/e22010064.

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The cross-slot geometry plays an important role in the study of nonlinear effects of viscoelastic fluids. The flow of viscoelastic fluid in a micro cross-slot with a high channel aspect ratio (AR, the ratio of channel depth to width) can be divided into three types, which are symmetric flow, steady-state asymmetric flow and time-dependent flow under the inlet condition with a constant velocity. However, the flow pattern of a viscoelastic fluid in the cross-slot when a stimulation is applied at inlets has been rarely reported. In this paper, the response of cross-slot flow under an external sin

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Chaffin, Stephen, Nicholas Monk, Julia Rees, and William Zimmerman. "Re-Entrant Corner for a White-Metzner Fluid." Fluids 6, no. 7 (2021): 241. http://dx.doi.org/10.3390/fluids6070241.

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Viscoelastic fluids can be difficult to model due to the wide range of different physical behaviors that polymer melts can exhibit. One such feature is the viscous elastic boundary layer. We address the particular problem of a viscoelastic shear-dependent fluid flowing past a corner and investigate how the properties of the boundary layer change for a White-Metzner fluid. The boundary layer equations are derived and the upstream layer is matched with the far-field flow. It was found that if the fluid is sufficiently shear thinning then the viscoelastic boundary layer formulation fails due to t

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Joseph, D. D., and T. Y. Liao. "Potential flows of viscous and viscoelastic fluids." Journal of Fluid Mechanics 265 (April 25, 1994): 1–23. http://dx.doi.org/10.1017/s0022112094000741.

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Potential flows of incompressible fluids admit a pressure (Bernoulli) equation when the divergence of the stress is a gradient as in inviscid fluids, viscous fluids, linear viscoelastic fluids and second-order fluids. We show that in potential flow without boundary layers the equation balancing drag and acceleration is the same for all these fluids, independent of the viscosity or any viscoelastic parameter, and that the drag is zero when the flow is steady. But, if the potential flow is viewed as an approximation to the actual flow field, the unsteady drag on bubbles in a viscous (and possibl

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25

Jamil, Muhammad, and Najeeb Alam Khan. "Slip Effects on Fractional Viscoelastic Fluids." International Journal of Differential Equations 2011 (2011): 1–19. http://dx.doi.org/10.1155/2011/193813.

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Unsteady flow of an incompressible Maxwell fluid with fractional derivative induced by a sudden moved plate has been studied, where the no-slip assumption between the wall and the fluid is no longer valid. The solutions obtained for the velocity field and shear stress, written in terms of Wright generalized hypergeometric functions , by using discrete Laplace transform of the sequential fractional derivatives, satisfy all imposed initial and boundary conditions. The no-slip contributions, that appeared in the general solutions, as expected, tend to zero when slip parameter is . Furthermore, th

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26

Tsukahara, Takahiro, Masaaki Tanabe, and Yasuo Kawaguchi. "Effect of Fluid Viscoelasticity on Turbulence and Large-Scale Vortices behind Wall-Mounted Plates." Advances in Mechanical Engineering 6 (January 1, 2014): 823138. http://dx.doi.org/10.1155/2014/823138.

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Direct numerical simulations of turbulent viscoelastic fluid flows in a channel with wall-mounted plates were performed to investigate the influence of viscoelasticity on turbulent structures and the mean flow around the plate. The constitutive equation follows the Giesekus model, valid for polymer or surfactant solutions, which are generally capable of reducing the turbulent frictional drag in a smooth channel. We found that turbulent eddies just behind the plates in viscoelastic fluid decreased in number and in magnitude, but their size increased. Three pairs of organized longitudinal vortic

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Li, Juan, Hong Zhi Yang, Mei Han, Jin Chao Xu, Xiao Dong Li, and Xiu Ting Han. "Application and Design of Plunger Pump Lifting Viscoelastic Fluid." Advanced Materials Research 291-294 (July 2011): 2507–11. http://dx.doi.org/10.4028/www.scientific.net/amr.291-294.2507.

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Daqing Oilfield has more than 10,000 million kilograms of oil through tertiary recovery every year. However, eccentric wear of sucker rod and tubing severely impede the implementation effectiveness and large-scale utilization of tertiary oil production when injecting viscoelastic fluids containing polymer. Therefore, a plunger pump lifting viscoelastic fluid is designed based on the analysis of the mechanism of eccentric wear. The principle to reduce eccentric wear is increasing hydraulic and viscoelastic friction, and expanding clearance. Due to make use of the plunger pump lifting viscoelast

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Cho, Mira, Sun Ok Hong, Seung Hak Lee, Kyu Hyun, and Ju Min Kim. "Effects of Ionic Strength on Lateral Particle Migration in Shear-Thinning Xanthan Gum Solutions." Micromachines 10, no. 8 (2019): 535. http://dx.doi.org/10.3390/mi10080535.

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Viscoelastic fluids, including particulate systems, are found in various biological and industrial systems including blood flow, food, cosmetics, and electronic materials. Particles suspended in viscoelastic fluids such as polymer solutions migrate laterally, forming spatially segregated streams in pressure-driven flow. Viscoelastic particle migration was recently applied to microfluidic technologies including particle counting and sorting and the micromechanical measurement of living cells. Understanding the effects on equilibrium particle positions of rheological properties of suspending vis

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29

Mavko, Gary. "Relaxation shift in rocks containing viscoelastic pore fluids." GEOPHYSICS 78, no. 3 (2013): M19—M28. http://dx.doi.org/10.1190/geo2012-0272.1.

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The interaction of pore stiffness with pore fluid moduli leads to shifts in viscoelastic relaxation times of the overall rock relative to those of the fluids alone. Crack-based and fluid substitution models indicate that stiff pores cause little shift, whereas thin, soft cracks can shift relaxation times by several orders of magnitude toward lower frequencies (longer relaxation times). Pore stiffness also causes a shift in apparent temperature dependence of rock viscoelasticity toward higher temperatures when cracks are present. As with more conventional fluid substitution problems, quantifyin

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Sheremet, Mikhail A., and Ioan Pop. "Natural convection combined with thermal radiation in a square cavity filled with a viscoelastic fluid." International Journal of Numerical Methods for Heat & Fluid Flow 28, no. 3 (2018): 624–40. http://dx.doi.org/10.1108/hff-02-2017-0059.

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Purpose The purpose of this paper is to study natural convective heat transfer and viscoelastic fluid flow in a differentially heated square cavity under the effect of thermal radiation. Design/methodology/approach The cavity filled with a viscoelastic fluid is heated uniformly from the left wall and cooled from the right side while insulated from horizontal walls. Governing partial differential equations formulated in non-dimensional stream function, vorticity and temperature with corresponding boundary conditions have been solved by finite difference method of second order accuracy. The effe

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Jegatheeswaran, Sinthuran, Farhad Ein-Mozaffari, and Jiangning Wu. "Laminar mixing of non-Newtonian fluids in static mixers: process intensification perspective." Reviews in Chemical Engineering 36, no. 3 (2020): 423–36. http://dx.doi.org/10.1515/revce-2017-0104.

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AbstractStatic mixers are widely used in various industrial applications to intensify the laminar mixing of non-Newtonian fluids. Non-Newtonian fluids can be categorized into (1) time-independent, (2) time-dependent, and (3) viscoelastic fluids. Computational fluid dynamics studies on the laminar mixing of viscoelastic fluids are very limited due to the complexity in incorporating the multiple relaxation times and the associated stress tensor into the constitutive equations. This review paper provides recommendations for future research studies while summarizing the key research contributions

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Poole, R. J. "Three-dimensional viscoelastic instabilities in microchannels." Journal of Fluid Mechanics 870 (May 7, 2019): 1–4. http://dx.doi.org/10.1017/jfm.2019.260.

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Whereas the flow of simple single-phase Newtonian fluids tends to become more complex as the characteristic length scale in the problem (and hence the Reynolds number) increases, for complex elastic fluids such as dilute polymer solutions the opposite holds true. Thus small-scale, so-called ‘microfluidic’ flows of complex fluids can exhibit rich dynamics in situations where the ‘equivalent’ flow of Newtonian fluids remains linear and predictable. In the recent study of Qin et al. (J. Fluid Mech., vol. 864, 2019, R2) of the flow of a dilute polymeric fluid past a $50~\unicode[STIX]{x03BC}\text{

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Yanbarisov, Ruslan, Yuri Efremov, Nastasia Kosheleva, Peter Timashev, and Yuri Vassilevski. "Numerical Modelling of Multicellular Spheroid Compression: Viscoelastic Fluid vs. Viscoelastic Solid." Mathematics 9, no. 18 (2021): 2333. http://dx.doi.org/10.3390/math9182333.

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Parallel-plate compression of multicellular spheroids (MCSs) is a promising and popular technique to quantify the viscoelastic properties of living tissues. This work presents two different approaches to the simulation of the MCS compression based on viscoelastic solid and viscoelastic fluid models. The first one is the standard linear solid model implemented in ABAQUS/CAE. The second one is the new model for 3D viscoelastic free surface fluid flow, which combines the Oldroyd-B incompressible fluid model and the incompressible neo-Hookean solid model via incorporation of an additional elastic

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Bulíček, Miroslav, Tomáš Los, and Josef Málek. "On three-dimensional flows of viscoelastic fluids of Giesekus type^*." Nonlinearity 38, no. 1 (2024): 015004. http://dx.doi.org/10.1088/1361-6544/ad7cb5.

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Abstract Viscoelastic rate-type fluids are popular models of choice in many applications involving flows of fluid-like materials with complex micro-structure. A well-developed mathematical theory for the most of these classical fluid models is however missing. The main purpose of this study is to provide a complete proof of long-time and large-data existence of weak solutions to unsteady internal three-dimensional flows of Giesekus fluids subject to a no-slip boundary condition. As a new auxiliary tool, we provide the identification of certain biting limits in the parabolic setting, presented

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BOFFETTA, GUIDO, ANDREA MAZZINO, STEFANO MUSACCHIO, and LARA VOZELLA. "Rayleigh–Taylor instability in a viscoelastic binary fluid." Journal of Fluid Mechanics 643 (January 15, 2010): 127–36. http://dx.doi.org/10.1017/s0022112009992497.

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The effects of polymer additives on Rayleigh–Taylor (RT) instability of immiscible fluids is investigated using the Oldroyd-B viscoelastic model. Analytic results obtained exploiting the phase-field approach show that in polymer solution the growth rate of the instability speeds up with elasticity (but remains slower than in the pure solvent case). Numerical simulations of the viscoelastic binary fluid model confirm this picture.

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Chen, Yu, Zaiguo Fu, Meng Xue, Peifen Weng, and Jiang Liu. "Experimental investigation on the flow field characteristics of viscoelastic fluid around a cylinder." Journal of Physics: Conference Series 2939, no. 1 (2025): 012021. https://doi.org/10.1088/1742-6596/2939/1/012021.

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Abstract Viscoelastic fluids, as an important class of non-Newtonian fluids, have been widely utilized across diverse industries, including chemical engineering, petroleum, and biomedicine. To investigate the flow characteristics of viscoelastic fluids around a cylinder, this study conducted viscoelastic tests on polyacrylamide (PAM) solutions of different concentrations and performed experiments using Particle Image Velocimetry (PIV) at a moderate Reynolds number. Furthermore, the experimental data were statistically analyzed using a self-programmed algorithm, and the corresponding flow field

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Patel, Mahesh Chandra, Mohammed Abdalla Ayoub, Mazlin Bt Idress, and Anirbid Sircar. "Development of a Novel Surfactant-Based Viscoelastic Fluid System as an Alternative Nonpolymeric Fracturing Fluid and Comparative Analysis with Traditional Guar Gum Gel Fluid." Polymers 15, no. 11 (2023): 2444. http://dx.doi.org/10.3390/polym15112444.

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Surfactant-based viscoelastic (SBVE) fluids have recently gained interest from many oil industry researchers due to their polymer-like viscoelastic behaviour and ability to mitigate problems of polymeric fluids by replacing them during various operations. This study investigates an alternative SBVE fluid system for hydraulic fracturing with comparable rheological characteristics to conventional polymeric guar gum fluid. In this study, low and high surfactant concentration SBVE fluid and nanofluid systems were synthesized, optimized, and compared. Cetyltrimethylammonium bromide and counterion i

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Mavi, Anele, and Tiri Chinyoka. "Finite Volume Computational Analysis of the Heat Transfer Characteristic in a Double-Cylinder Counter-Flow Heat Exchanger with Viscoelastic Fluids." Defect and Diffusion Forum 424 (May 8, 2023): 19–43. http://dx.doi.org/10.4028/p-j482zy.

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This work presents a computational analysis of the heat-exchange characteristics in a double-cylinder (also known as a double-pipe) geometrical arrangement. The heat-exchange is from a hotter viscoelastic fluid flowing in the core (inner) cylinder to a cooler Newtonian fluid flowing in the shell (outer) annulus. For optimal heat-exchange characteristics, the core and shell fluid flow in opposite directions, the so-called counter-flow arrangement.The mathematical modelling of the given problem reduces to a system of nonlinear coupled Partial Differential Equations (PDEs). Specifically, the rheo

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ELFRING, GWYNN J., ON SHUN PAK, and ERIC LAUGA. "Two-dimensional flagellar synchronization in viscoelastic fluids." Journal of Fluid Mechanics 646 (March 8, 2010): 505–15. http://dx.doi.org/10.1017/s0022112009994010.

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Experimental studies have demonstrated that spermatozoa synchronize their flagella when swimming in close proximity. In a Newtonian fluid, it was shown theoretically that such synchronization arises passively due to hydrodynamic forces between the two swimmers if their waveforms exhibit a front–back geometrical asymmetry. Motivated by the fact that most biological fluids possess a polymeric microstructure, here we address synchronization in a viscoelastic fluid analytically. Using a two-dimensional infinite sheet model, we show that the presence of polymeric stresses removes the geometrical as

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Eslami, Fatemeh, Hossein Hamzehpour, Sanaz Derikvandi, and S. Amir Bahrani. "Acoustic interaction force between two particles immersed in a viscoelastic fluid." Physics of Fluids 35, no. 3 (2023): 031707. http://dx.doi.org/10.1063/5.0143005.

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The interaction acoustic radiation force in a standing plane wave applied to each small solid sphere in a two-particle system immersed in a viscoelastic fluid is studied in a framework based on perturbation theory. In this work, the first- and second-order perturbation theories are used in the governing equations with considering the upper-convected Maxwell model to obtain mathematical modeling. We use the finite element method to carry out simulations and describe the behavior of the viscoelastic fluid. The mathematical development is validated from three literature case studies: a one-partic

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Navruzov, K., A. Sh Begjanov, N. I. Abdikarimov, and Sh Yusupov. "Examining laminar, non-stationary viscoelastic fluid flow between two parallel planes." BIO Web of Conferences 105 (2024): 05005. http://dx.doi.org/10.1051/bioconf/202410505005.

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The generalized Maxwell model is used to handle problems involving the unsteady flow of a viscoelastic fluid in a flat channel under the effect of a constant pressure gradient. Formulas for fluid flow, velocity distribution, and other hydrodynamic characteristics were found. Transient processes during unsteady flow of a viscoelastic fluid in a flat channel are investigated based on the discovered formulas. The analysis’s conclusions demonstrated that, at small Debord number values, the procedures of changing a viscoelastic fluid’s properties from an unstable to a stationary state essentially d

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Zhang, Zhang, Wu, et al. "Comparison of Micro-Mixing in Time Pulsed Newtonian Fluid and Viscoelastic Fluid." Micromachines 10, no. 4 (2019): 262. http://dx.doi.org/10.3390/mi10040262.

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Fluid mixing plays an essential role in many microfluidic applications. Here, we compare the mixing in time pulsing flows for both a Newtonian fluid and a viscoelastic fluid at different pulsing frequencies. In general, the mixing degree in the viscoelastic fluid is higher than that in the Newtonian fluid. Particularly, the mixing in Newtonian fluid with time pulsing is decreased when the Reynolds number Re is between 0.002 and 0.01, while it is enhanced when Re is between 0.1 and 0.2 compared with that at a constant flow rate. In the viscoelastic fluid, on the other hand, the time pulsing doe

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Jose T., Sherin, Kiran Kumar Patra, and Satyananda Panda. "Modeling and simulation of capillary ridges on the free surface dynamics of third-grade fluid." Zeitschrift für Naturforschung A 76, no. 3 (2021): 217–29. http://dx.doi.org/10.1515/zna-2020-0225.

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Abstract Most of the viscoelastic fluids have deformation while flowing over a heated plate. A typical feature of a thin viscous or viscoelastic fluid is the formation of the capillary ridges over locally heated plates. The creation of such ridges in the thin-film surface can affect the smoothness of the coating. This work particularly concerned the flow of non-Newtonian third-grade fluid over an inclined heated plate and the formation of ridges. The conservation laws associated with free surface and wall boundary conditions model the two-dimensional fluid flow. The long wave approximation of

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Rozhkov, Aleksey. "Elasticity and relaxation properties of oral fluid." Russian Journal of Biomechanics 25, no. 4 (2021): 338–49. http://dx.doi.org/10.15593/rjbiomech/2021.4.05.

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The research is aimed at crating a method for rheological testing of viscoelastic fluids, the droplets of which, when stretched, form thinning filaments, i.e. exhibit the property of spinning. The typical example of such fluid is oral fluid (or mixed saliva). Among other things, the rheological features of the oral fluid actively affect the mechanisms of transmission of infection by airborne droplets. In this work, the oral fluid was studied both from the point of view of a participant in the transmission of infection and as a model for studying the rheology of viscoelastic fluids. The method

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Halder, B., A. Mukherjee, and R. Karmakar. "Theoretical and Experimental Studies on Squeeze Film Stabilizers for Flexible Rotor-Bearing Systems Using Newtonian and Viscoelastic Lubricants." Journal of Vibration and Acoustics 112, no. 4 (1990): 473–82. http://dx.doi.org/10.1115/1.2930131.

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A combination of a squeeze film damper and a plane journal bearing is studied as a stabilizing scheme. The damper is made to play the role of a stabilizer to postpone the instability threshold speeds of flexible rotors. Both Newtonian and viscoelastic fluids are used in the rotor-bearing system. Dynamics of the system is theoretically analyzed using bond graphs. Analysis reveals that the use of a Newtonian fluid in the stabilizer largely improves the high speed stability range. However, viscoelastic stabilizing fluid has a detrimental effect on highly flexible rotors. Experimental investigatio

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Liu, Bao Jun, Cai Xia Fan, and Hong Du. "Causes Analysis of Eccentric Wear of Sucker Rod in Produced Fluid with Polymer." Advanced Materials Research 594-597 (November 2012): 2744–47. http://dx.doi.org/10.4028/www.scientific.net/amr.594-597.2744.

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After polymer flooding was put into effect in DaQing oilfield, eccentric wear of sucker rod and tubing has been so serious that it made the rods break. This is because production liquid produced from normal wells is pure viscous fluid while liquid produced from polymer flooding oil wells is viscoelastic fluid. The flow equation of viscoelastic fluid in eccentric annulus was established in cylinder coordinate system, and the velocity distribution was solved. Based on upper-convected Maxwell constitutive equation, the normal stress calculating model of viscoelastic fluid acting on sucker rods wa

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Dasman, Anisah, Abdul Rahman Mohd Kasim, Nurul Farahain Mohammad, Aurangzaib Mangi, and Sharidan Shafie. "Mixed Convection Boundary Layer Flow of Viscoelastic Fluids Past a Sphere." Defect and Diffusion Forum 336 (March 2013): 57–63. http://dx.doi.org/10.4028/www.scientific.net/ddf.336.57.

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The mixed convection boundary layer of a viscoelastic fluid past a sphere with constant temperature is discussed. The boundary layer equations are an order higher than those for the Newtonian (viscous) fluid and the adherence boundary conditions are insufficient to determine the solution of these equations completely. The governing non-similar partial differential equations are first transformed into dimensionless forms and then solved numerically using the Keller-box method by augmenting an extra boundary condition at infinity. Numerical results are presented for different values of the visco

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Hasheminejad, Seyyed M., and Naemeh Safari. "Dynamic Viscoelastic Effects on Sound Wave Diffraction by Spherical and Cylindrical Shells Submerged in and Filled with Viscous Compressible Fluids." Shock and Vibration 10, no. 5-6 (2003): 339–63. http://dx.doi.org/10.1155/2003/434612.

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An analysis for sound scattering by fluid-filled spherical and cylindrical viscoelastic shells immersed in viscous fluids is outlined. The dynamic viscoelastic properties of the scatterer and the viscosity of the surrounding and core fluids are rigorously taken into account in the solution of the acoustic scattering problem. The novel features of Havriliak-Negami model for viscoelastic material dynamic behaviour description along with the appropriate wave-harmonic field expansions and the pertinent boundary conditions are employed to develop a closed-form solution in form of infinite series. S

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Zhou, Guo Fa, and Ting Peng. "Heat Transfer Enhancement of Viscoelastic Fluid in the Rectangle Microchannel with Constant Heat Fluxes." Applied Mechanics and Materials 117-119 (October 2011): 574–81. http://dx.doi.org/10.4028/www.scientific.net/amm.117-119.574.

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It has been found that viscoelastic fluid has evident heat transfer enhancement function in macro scale. But in micro scale, viscoelastic fluid’s flow and heat transfer characteristics are still unknown. In this paper, the heat transfer process of viscoelastic fluid in the microchannel is studied by numerical simulation method. The simulation results show that the maximum heat transfer enhancement of viscoelastic fluid is up to 800%, compared with pure viscous fluid. The viscoelastic fluid has such obvious heat transfer enhancement function because of its strong secondary flow. Laminar sub-lay

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Shen, Yu, and Bo Wang. "Stability of viscoelastic fluid conveying pipe." Journal of Physics: Conference Series 2808, no. 1 (2024): 012036. http://dx.doi.org/10.1088/1742-6596/2808/1/012036.

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Abstract In this paper, the dynamic stability of a pulsating fluid transport viscoelastic pipe under transverse vibration in the supported case is investigated, and a new variable-length beam element taking into account the beam rotation effect is proposed, which incorporates Kelvin-type viscoelastic intrinsic relations to describe the material properties of the beam-type pipe. Stability conditions are given for the subharmonic and combined resonance cases. Numerical models were used to analyze the stability of viscoelastic fluid pipes under the influence of different factors.

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