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A computer program for interconversion between creep compliance and stress relaxation 蠕变柔度与应力松弛相互转换的计算机程序
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-07-20 DOI: 10.1122/8.0000695
S. Shanbhag
Numerical interconversion of linear viscoelastic functions is an important problem in rheology. This work focuses on interconversion between creep compliance (J) and relaxation modulus (G) via the convolution relation. A discrete spectrum or Prony series is used to describe both the source (G or J) and the target (J or G) of the interconversion. A previously developed numerical template [Loy et al.,J. Rheol.59(5), 1261 (2015)] is modified to bypass singularities. It is released as an open-source computer program called PSI (Prony series interconversion). PSI is tested on a variety of materials including viscoelastic solids and liquids and used for both G→J and J→G interconversions. It is fast and numerically stable for input data that span over 20 decades in time. It fills a gap in the existing software landscape for conversion of linear viscoelastic functions.
线性粘弹性函数的数值相互转换是流变学中的一个重要问题。本文主要研究蠕变柔度(J)与松弛模量(G)之间的卷积关系。离散谱或Prony级数用于描述相互转换的源(G或J)和目标(J或G)。之前开发的数值模板[Loy等人,J.Rheol.59(5),1261(2015)]被修改为绕过奇点。它是作为一个名为PSI(Prony系列相互转换)的开源计算机程序发布的。PSI在包括粘弹性固体和液体在内的多种材料上进行测试,并用于→J和J→G相互转换。对于时间跨度超过20年的输入数据,它是快速且数值稳定的。它填补了现有软件领域中线性粘弹性函数转换的空白。
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引用次数: 0
Perspective on edge fracture 边缘断裂透视
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-07-01 DOI: 10.1122/8.0000625
S. T. Chan, S. Varchanis, S. Haward, A. Shen
Edge fracture is a viscoelastic instability characterized by the sudden indentation of a fluid’s free surface when the fluid is subjected to a high enough shear rate. During shear rheometry, the fracture can invade the fluid sample, decreasing its contact area with the rheometer fixture and rendering the measurement of viscosity and normal stresses at high-shear rates invalid. Edge fracture can also induce apparent shear banding in the fluid, complicating the interpretation of experimental results. Over the past several decades, empirical and theoretical research has unraveled the physics underlying edge fracture. The knowledge obtained has allowed rheologists to develop techniques to minimize the adverse effect of fracture in their experiments. In recent years, edge fracture has also been used to break up viscoelastic liquid bridges quickly and cleanly, showing its potential to be adapted to the design of functional dispensing nozzles. This Perspective article aims to give a historical overview of edge fracture and suggests research directions to develop methods for suppressing or harnessing the phenomenon to benefit applications of both fundamental and technological importance.
边缘断裂是一种粘弹性不稳定性,其特征是当流体受到足够高的剪切速率时,流体的自由表面突然凹陷。在剪切流变测量过程中,裂缝会侵入流体样品,减少其与流变仪夹具的接触面积,使高剪切速率下的粘度和法向应力测量无效。边缘断裂还会在流体中引起明显的剪切带,使实验结果的解释复杂化。在过去的几十年里,经验和理论研究已经揭开了边缘断裂的物理基础。所获得的知识使流变学家能够在实验中开发出最小化断裂不利影响的技术。近年来,边缘断裂也被用于快速清洁地破坏粘弹性液体桥,显示出其适应功能性点胶喷嘴设计的潜力。这篇展望文章旨在对边缘断裂的历史进行概述,并提出研究方向,以开发抑制或利用这种现象的方法,从而使基础和技术的应用都具有重要意义。
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引用次数: 1
Understanding the reactive interfacial flow dynamics with production of viscoelastic material through large amplitude oscillatory shear (LAOS) measurements of the viscoelastic interface 通过粘弹性界面的大振幅振荡剪切(LAOS)测量,了解粘弹性材料产生时的反应界面流动动力学
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-07-01 DOI: 10.1122/8.0000650
Harumi Yagi, Y. Nagatsu, Masayoshi Takano, Ryuta X. Suzuki
In this study, the interfacial flow dynamics involving a chemical reaction that produces viscoelastic material at the interface between two liquids is experimentally investigated, and the material is evaluated using interfacial large amplitude oscillatory shear (LAOS) measurements. The flow dynamics indicates fingering patterns at low injection flow rates and fracturing patterns at high flow rates in Hele-Shaw cells, where a more viscous xanthan gum solution is displaced by the less viscous Fe(NO3)3 solution with various concentrations of Fe(NO3)3. The threshold flow rate value of such a transition is different for various concentrations of Fe(NO3)3. Although such a transition without chemical reactions has been discussed, the factors responsible for the transition remain unclear. The flow dynamics in Hele-Shaw cells is considered to flow under large deformation, which exceeds the small amplitude oscillatory shear condition but is under the LAOS condition. Therefore, LAOS measurement of the viscoelastic interface is performed for various concentrations of Fe(NO3)3. Using the characteristic properties extracted from the LAOS measurements, the elastic and viscous forces of the viscoelastic interface are evaluated. We show the transition from fingering to fracturing patterns when the elastic force exceeds a certain value. These findings highlight that rheology under large deformation of the viscoelastic interface plays a crucial role in interfacial flow, where viscoelastic materials are produced by chemical reactions at the interface. In addition, this study should be an example of the successful elucidation of physical phenomena by interfacial LAOS, which has been reported in a very limited number of studies.
在这项研究中,涉及化学反应的界面流动动力学,在两种液体之间的界面产生粘弹性材料进行了实验研究,并使用界面大振幅振荡剪切(老挝)测量来评估材料。流动动力学表明,Hele-Shaw细胞在低注射流速下呈指动模式,在高注射流速下呈破裂模式,其中粘性较强的黄原胶溶液被不同浓度的粘性较低的Fe(NO3)3溶液所取代。对于不同浓度的Fe(NO3)3,这种转变的阈值是不同的。尽管人们已经讨论过这种没有化学反应的转变,但导致这种转变的因素仍不清楚。Hele-Shaw胞体的流动动力学被认为是大变形下的流动,超过了小振幅振荡剪切条件,但处于LAOS条件下。因此,对不同浓度的Fe(NO3)3进行粘弹性界面的LAOS测量。利用从LAOS测量中提取的特征属性,对粘弹性界面的弹性和粘性力进行了评估。我们展示了当弹性力超过一定值时,从指指模式到断裂模式的转变。这些发现强调粘弹性界面大变形下的流变学在界面流动中起着至关重要的作用,其中粘弹性材料是由界面上的化学反应产生的。此外,本研究应该是界面LAOS成功阐明物理现象的一个例子,这在非常有限的研究中得到了报道。
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引用次数: 0
A novel and noninvasive approach to study the shear rheology of complex fluid interfaces 一种研究复杂流体界面剪切流变学的新方法
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-06-27 DOI: 10.1122/8.0000649
D. Venerus
Surfactants at gas-liquid and liquid-liquid interfaces have profound effects on interfacial stresses that strongly influence flow in bulk phases in contact with the interface. These effects include changes in interfacial tension and the development of extra stresses that arise when the interface is deformed. Surfactants are important in nature, biological function, and numerous technologies. Understanding interfacial rheology is critical to the development of improved surfactants for these important applications. Here, we propose a novel and noninvasive technique for the investigation of interfacial rheological behavior in shear deformations. In recent years, several techniques for such measurements have been developed and utilized to study a wide range of surfactant systems. However, existing techniques may inherently be invasive making it difficult to isolate the intrinsic interfacial rheological behavior from disturbances to the interface caused by the measurement itself. The proposed technique is indirect in that it does not require the introduction of a probe to deform the interface making it noninvasive. The viability of the technique is demonstrated through comprehensive fluid dynamics modeling of the flow involving a gas-liquid interface with different rheological behaviors.
气液和液-液界面上的表面活性剂对界面应力有着深远的影响,界面应力强烈影响与界面接触的体相中的流动。这些影响包括界面张力的变化和界面变形时产生的额外应力的发展。表面活性剂在自然界、生物功能和众多技术中都很重要。了解界面流变学对于开发用于这些重要应用的改良表面活性剂至关重要。在这里,我们提出了一种新的非侵入性技术来研究剪切变形中的界面流变行为。近年来,已经开发了几种用于这种测量的技术,并将其用于研究广泛的表面活性剂系统。然而,现有技术可能固有地具有侵入性,使得难以将固有的界面流变行为与测量本身对界面造成的干扰隔离开来。所提出的技术是间接的,因为它不需要引入探针来使界面变形,从而使其无创。通过对具有不同流变行为的气液界面流动进行全面的流体动力学建模,证明了该技术的可行性。
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引用次数: 0
Cohesion and aggregates in unsaturated wet granular flows down a rough incline 非饱和湿颗粒流沿粗斜面流动时的内聚力和团聚体
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-06-20 DOI: 10.1122/8.0000631
S. Deboeuf, A. Fall
Multi-phase flows, encountered in nature or in industry, exhibit non-trivial rheological properties, which we attempt to better understand thanks to model materials and appropriate rheometers. Unsaturated wet granular flows down a rough inclined plane turn out to be steady and uniform for a wide range of parameters, despite the cohesion and the grain aggregates. The cohesive Mohr–Coulomb yield criterion extended to inertial granular flows, with a cohesion stress dependent on the liquid content and an internal friction coefficient dependent on the inertial number, allows for predictions in good agreement with our experimental measurements, when one introduces a grain aggregate size, which defines the appropriate length and relaxation time scales in the inertial number. We found that the grain aggregate size depends not monotonically on the liquid content and does not scale with the cohesion length induced by the cohesion stress, due to the non-trivial distribution of the liquid within the granular material.
在自然界或工业中遇到的多相流表现出重要的流变特性,我们试图通过模型材料和适当的流变仪更好地理解这些特性。在较宽的参数范围内,非饱和湿颗粒流在粗糙的斜面上是稳定和均匀的,尽管存在粘聚和颗粒聚集。黏合莫尔-库仑屈服准则扩展到惯性颗粒流,黏合应力依赖于液体含量,内摩擦系数依赖于惯性数,当引入颗粒聚集尺寸时,它定义了惯性数中适当的长度和松弛时间尺度,从而允许预测与我们的实验测量结果很好地一致。我们发现,由于液体在颗粒材料内部的非平凡分布,颗粒的粒径不是单调地依赖于液体含量,也不是与黏聚应力引起的黏聚长度成比例。
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引用次数: 1
Rheo-PIV of yield-stress fluids in a 3D-printed fractal vane-in-cup geometry 三维打印杯形分形叶片中屈服应力流体的Rheo PIV
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-06-20 DOI: 10.1122/8.0000639
Esteban F. Medina-Bañuelos, B. M. Marín-Santibáñez, E. Chaparian, C. Owens, G. McKinley, J. Pérez-González
The vane-in-cup (VIC) geometry has been widely used for the rheological characterization of yield-stress fluids because it minimizes slip effects at the liquid/solid interface of the rotating geometry and reduces sample damage during the loading process. However, severe kinematic limitations arising from the spatial complexity of mixed shear and extensional flow have been identified for quantitative rheometrical measurements in complex fluids. Recently, vanes with fractal cross sections have been suggested as alternatives for accurate rheometry of elastoviscoplastic fluids. In this work, the steady fractal vane-in-cup (fVIC) flow of a Newtonian fluid and a nonthixotropic Carbopol® 940 microgel as well as the unsteady flow of a thixotropic κ-Carrageenan gel are analyzed using rheo-particle image velocimetry (Rheo-PIV). We describe the velocity distributions in all cases and show that the fVIC produces an almost axisymmetric flow field and rotation rate-independent “effective radius” when used with both the Newtonian fluid and the microgel. These findings are supported by 2D simulation results and enable the safe use of both the Couette analogy and the torque-to-stress conversion scheme for a 24-arm fVIC as well as validate it as a reliable rheometrical tool for characterization of a variety of complex fluids. With the κ-Carrageenan gel, however, axial shearing/compression while inserting the rheometric tool into the sample also accelerates syneresis that ultimately results in shear banding for Couette and fVIC flows. By comparing results obtained using the 24-arm fVIC with other conventional geometries, we investigate the effect that the lateral and cross-sectional (shearing/compressing) area of the measuring fixture have on disrupting the κ-Carrageenan gel during its insertion.
杯形叶片(VIC)几何形状已被广泛用于屈服应力流体的流变表征,因为它最大限度地减少了旋转几何形状的液/固界面处的滑移效应,并减少了加载过程中样品的损坏。然而,由于混合剪切流和拉伸流的空间复杂性,已经确定了复杂流体中定量流变测量的严重运动学限制。最近,具有分形横截面的叶片被建议作为弹粘塑性流体精确流变仪的替代品。在这项工作中,使用流变粒子图像测速仪(rheo PIV)分析了牛顿流体和非触变性Carbopol®940微凝胶的稳定分形杯内叶片(fVIC)流动以及触变性κ-卡拉胶凝胶的非稳定流动。我们描述了所有情况下的速度分布,并表明当与牛顿流体和微凝胶一起使用时,fVIC产生几乎轴对称的流场和与转速无关的“有效半径”。这些发现得到了2D模拟结果的支持,使Couette类比和扭矩-应力转换方案能够安全地用于24臂fVIC,并验证了它是一种用于表征各种复杂流体的可靠流变仪工具。然而,对于κ-卡拉胶凝胶,将流变仪工具插入样品时的轴向剪切/压缩也会加速脱水,最终导致Couette和fVIC流的剪切带。通过将使用24臂fVIC获得的结果与其他传统几何形状进行比较,我们研究了测量夹具的横向和横截面(剪切/压缩)面积对κ-卡拉胶凝胶在插入过程中破坏的影响。
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引用次数: 2
3D manipulation and dynamics of soft materials in 3D flows 三维流动中软材料的三维操纵和动力学
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-06-15 DOI: 10.1122/8.0000600
Michael Q. Tu, Hung V. Nguyen, Elliel Foley, M. I. Jacobs, Charles M. Schroeder
Flow-based manipulation of particles is an essential tool for studying soft materials, but prior work has nearly exclusively relied on using two-dimensional (2D) flows generated in planar microfluidic geometries. In this work, we demonstrate 3D trapping and manipulation of freely suspended particles, droplets, and giant unilamellar vesicles in 3D flow fields using automated flow control. Three-dimensional flow fields including uniaxial extension and biaxial extension are generated in 3D-printed fluidic devices combined with active feedback control for particle manipulation in 3D. Flow fields are characterized using particle tracking velocimetry complemented by finite-element simulations for all flow geometries. Single colloidal particles (3.4 μm diameter) are confined in low viscosity solvent (1.0 mPa s) near the stagnation points of uniaxial and biaxial extensional flow for long times (≥10 min) using active feedback control. Trap stiffness is experimentally determined by analyzing the power spectral density of particle position fluctuations. We further demonstrate precise manipulation of colloidal particles along user-defined trajectories in three dimensions using automated flow control. Newtonian liquid droplets and GUVs are trapped and deformed in precisely controlled uniaxial and biaxial extensional flows, which is a new demonstration for 3D flow fields. Overall, this work extends flow-based manipulation of particles and droplets to three dimensions, thereby enabling quantitative analysis of colloids and soft materials in complex nonequilibrium flows.
基于流动的颗粒操纵是研究软材料的重要工具,但先前的工作几乎完全依赖于使用在平面微流体几何结构中产生的二维(2D)流动。在这项工作中,我们展示了使用自动流量控制在3D流场中对自由悬浮的颗粒、液滴和巨大单层囊泡的3D捕获和操作。包括单轴拉伸和双轴拉伸的三维流场是在3D打印的流体设备中产生的,该设备与用于3D中粒子操纵的主动反馈控制相结合。使用粒子跟踪测速技术对流场进行表征,并对所有流动几何形状进行有限元模拟。单个胶体颗粒(3.4 μm直径)限制在低粘度溶剂(1.0 mPa s) 在长时间(≥10)单轴和双轴拉伸流驻点附近 min)。陷阱刚度是通过分析粒子位置波动的功率谱密度来实验确定的。我们进一步展示了使用自动流量控制在三维中沿着用户定义的轨迹精确操纵胶体颗粒。牛顿液滴和GUV在精确控制的单轴和双轴拉伸流中被捕获和变形,这是三维流场的新证明。总的来说,这项工作将基于流动的粒子和液滴操作扩展到三维,从而能够对复杂非平衡流中的胶体和软材料进行定量分析。
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引用次数: 4
Particle-size dependent stability of co-continuous polymer blends 共连续聚合物共混物的粒度稳定性
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-06-08 DOI: 10.1122/8.0000642
Rajas Sudhir Shah, S. Bryant, M. Trifkovic
The properties of polymer blend nanocomposites are typically associated with spatiotemporal distribution of nanoparticles within a polymer blend system. Here, we present in situ high-temperature confocal rheology studies to assess the effect of particle size on the extent of particle agglomeration, particle migration, and subsequently their influence on the coarsening dynamics of polymer blends filled with pristine silica particles. We investigate co-continuous polypropylene-poly(ethylene-co-vinyl acetate) blends filled with five different silica particles with a diameter ranging from 5 to 490 nm. While particle size does not play a role when particles are thermodynamically driven to their preferred polymer phase, a striking effect is achieved when particles are kinetically trapped at the interface. We find that the interparticle interaction largely driven by size dependent long-range repulsive forces governs their extent of agglomeration, severely affecting their ability to stabilize co-continuous morphology. Strikingly, the largest (490 nm) particles are more effective in suppressing coarsening than 5 nm particles, while 140 and 250 nm particles are found to be the most effective. We demonstrate that kinetic trapping of primary particles of either size is influenced by the interplay of interfacial folding during melt blending and Laplacian pressure exerted at the interface. These results extend our fundamental understanding of the stabilization of co-continuous morphology in polymer blends by particles.
聚合物共混纳米复合材料的性能通常与聚合物共混体系中纳米颗粒的时空分布有关。在这里,我们进行了原位高温共聚焦流变学研究,以评估颗粒尺寸对颗粒团聚、颗粒迁移程度的影响,以及随后它们对填充原始二氧化硅颗粒的聚合物共混物的粗化动力学的影响。我们研究了共连续聚丙烯-聚(乙烯-醋酸乙烯)共混物,共混物填充了五种不同的二氧化硅颗粒,直径从5到490纳米不等。当颗粒在热力学上被驱动到它们首选的聚合物相时,颗粒大小不起作用,当颗粒在动力学上被捕获在界面上时,就会产生惊人的效果。我们发现粒子间的相互作用主要是由大小依赖的远程斥力驱动的,这决定了它们的团聚程度,严重影响了它们稳定共连续形态的能力。引人注目的是,最大的(490 nm)颗粒比5 nm颗粒更有效地抑制粗化,而140和250 nm颗粒被发现是最有效的。我们证明了熔体混合过程中界面折叠的相互作用和施加在界面上的拉普拉斯压力对两种大小的初级颗粒的动力学捕获都有影响。这些结果扩展了我们对聚合物共混物中共连续形态稳定的基本理解。
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引用次数: 0
Nonequilibrium thermodynamics modeling of the rheological response of cement pastes 水泥浆体流变响应的非平衡热力学模型
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-06-02 DOI: 10.1122/8.0000643
Amalia K. Ioannou, Pavlos S. Stephanou
Undoubtedly, cement is one of the most important materials in the construction industry. For its effective use, it is particularly important to fully comprehend the rheological behavior of cement paste. When cement is mixed with water, a suspension is initially formed and the rate of hydrolysis reactions accelerates leading to the formation of a new irreversible structure, i.e., the cement paste gradually solidifies. At the same time, the viscosity of the paste initially decreases with time, while at long times it gradually increases due to the formation of the irreversible structure. We herein introduce a continuum model for predicting the rheological behavior of cement pastes. The model is developed using nonequilibrium thermodynamics, in particular, the Generalized Brackets formalism, to guarantee model admissibility with thermodynamic laws. To this end, we consider two scalar structural variables: a reversible, λrev, characterizing the reversible structure, and an irreversible one, λirr, characterizing the irreversible structure resulting from the hydrolysis reactions. Also, we consider a tensorial structural variable, the conformation tensor c, to characterize the deformation of the cement particles. The predictions of the new model compare reasonably well with available experimental data, especially at large times, and further highlight the capacity of the new model to address the thixotropic behavior of cement pastes. It is expected that the use of this model in concrete rheology simulators will allow for the in silico testing and tailor-designing of concrete to meet specific processing needs.
毫无疑问,水泥是建筑行业中最重要的材料之一。为了有效利用水泥浆体,充分了解水泥浆体的流变特性尤为重要。当水泥与水混合时,最初形成悬浮液,水解反应速度加快,形成新的不可逆结构,即水泥浆体逐渐固化。同时,膏体的粘度最初随时间降低,长时间后由于不可逆结构的形成而逐渐增大。本文介绍了一种预测水泥浆体流变特性的连续统模型。该模型采用非平衡态热力学,特别是广义括号形式,以保证模型与热力学定律的可容许性。为此,我们考虑了两个标量结构变量:表征可逆结构的可逆变量λrev和表征水解反应产生的不可逆结构的不可逆变量λirr。此外,我们考虑一个张量结构变量,构象张量c,表征水泥颗粒的变形。新模型的预测与现有的实验数据比较合理,特别是在大时间内,并进一步突出了新模型解决水泥浆触变行为的能力。预计在混凝土流变模拟器中使用该模型将允许对混凝土进行硅测试和定制设计,以满足特定的处理需求。
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引用次数: 0
Magnetorheology in unsteady fields: From uniaxial DC to rotating AC fields 非定常场中的磁流变:从单轴直流场到旋转交流场
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-05-26 DOI: 10.1122/8.0000646
M. Terkel, Rosalind J Wright, J. D. de Vicente
Magnetorheological fluids structured under precession fields are thoroughly investigated. Having complete dynamic triaxial magnetic field control, we are able to study both the structural and magnetorheological response via videomicroscopy and rheometry integration for a wide range of magnetic field configurations, once previously limited to traditional uniaxial fields. Optimal precession fields for driving the formation of more robust particle structures enhancing yield stress response are identified. It is believed that structural reinforcement comes from chain coarsening through lateral chain coalescence and particle compactness within the structures such that a lower energy configuration is found for certain field configurations. Particle level simulations supplement our understanding of lateral chain coalescence and structure strengthening.
深入研究了进动场作用下的磁流变流体结构。在完全的动态三轴磁场控制下,我们能够通过视频显微镜和流变仪集成研究各种磁场配置的结构和磁流变响应,而以前仅限于传统的单轴场。确定了用于驱动形成更坚固的颗粒结构以增强屈服应力响应的最佳进动场。据信,结构增强来自于通过横向链聚结的链粗化和结构内的颗粒致密性,使得对于某些场配置发现较低的能量配置。粒子级模拟补充了我们对横向链聚结和结构强化的理解。
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引用次数: 0
期刊
Journal of Rheology
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