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Evolution of flow reversal and flow heterogeneities in high elasticity wormlike micelles (WLMs) with a yield stress 具有屈服应力的高弹性虫状胶束(WLMs)流动逆转和流动非均质性的演化
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-05-01 DOI: 10.1122/8.0000535
P. J. McCauley, Christine Huang, L. Porcar, Satish Kumar, M. Calabrese
The formation and evolution of a heterogeneous flow and flow reversal are examined in highly elastic, gel-like wormlike micelles (WLMs) formed from an amphiphilic triblock poloxamer P234 in 2M NaCl. A combination of linear viscoelastic, steady shear, and creep rheology demonstrate that these WLMs have a yield stress and exhibit viscoelastic aging, similar to some soft glassy materials. Nonlinear shear rheology and rheoparticle tracking velocimetry reveal that these poloxamer WLMs undergo a period of strong elastic recoil and flow reversal after the onset of shear startup. As flow reversal subsides, a fluidized high shear rate region and a nearly immobile low shear rate region of fluid form, accompanied by wall slip and elastic instabilities. The features of this flow heterogeneity are reminiscent of those for aging yield stress fluids, where the heterogeneous flow forms during the initial stress overshoot and is sensitive to the inherent stress gradient of the flow geometry. Additionally, macroscopic bands that form transiently above a critical shear rate become “trapped” due to viscoelastic aging in the nearly immobile region. This early onset of the heterogeneous flow during the rapidly decreasing portion of the stress overshoot differs from that typically observed in shear banding WLMs and is proposed to be necessary for observing significant flow reversal. Exploring the early-time, transient behavior of this WLM gel with rheology similar to both WLM solutions and soft glassy materials provides new insights into spatially heterogeneous flows in both of these complex fluids.
在由两亲性三嵌段泊洛沙姆P234在2M NaCl中形成的高弹性凝胶状蠕虫状胶束(WLM)中,研究了非均相流动和流动逆转的形成和演化。线性粘弹性、稳定剪切和蠕变流变学的结合表明,这些WLM具有屈服应力,并表现出粘弹性老化,类似于一些软玻璃材料。非线性剪切流变学和流变粒子跟踪测速法表明,这些泊洛沙姆WLM在剪切启动后会经历一段时间的强弹性反冲和流动逆转。随着流动逆转的消退,形成了流体的流化高剪切率区域和几乎不动的低剪切率区域,并伴有壁面滑移和弹性不稳定性。这种流动不均匀性的特征让人想起老化屈服应力流体的特征,其中不均匀流动在初始应力过冲期间形成,并且对流动几何形状的固有应力梯度敏感。此外,由于粘弹性老化,在几乎不动的区域中,在临界剪切速率以上瞬时形成的宏观带会被“捕获”。在应力超调的快速减少部分期间,这种非均匀流动的早期开始与剪切带WLM中通常观察到的不同,并且被认为是观察到显著流动逆转所必需的。探索这种流变学与WLM溶液和软玻璃材料相似的WLM凝胶的早期瞬态行为,为这两种复杂流体中的空间非均匀流动提供了新的见解。
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引用次数: 1
Rheo-electric measurements of carbon black suspensions containing polyvinylidene difluoride in N-methyl-2-pyrrolidone 在n -甲基-2-吡咯烷酮中含有聚偏二氟乙烯的炭黑悬浮液的流变电测量
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-05-01 DOI: 10.1122/8.0000615
Qingsong Liu, J. J. Richards
Lithium-ion battery cathode slurries have a microstructure that depends sensitively on how they are processed due to carbon black's (CB) evolving structure when subjected coating flows. While polyvinylidene difluoride (PVDF), one of the main components of the cathode slurry, plays an important role in modifying the structure and rheology of CB, a quantitative understanding is lacking. In this work, we explore the role of PVDF in determining the structural evolution of Super C65 CB in N-methyl-2-pyrrolidinone (NMP) with rheo-electric measurements. We find that PVDF enhances the viscosity of NMP resulting in a more extensive structural erosion of CB agglomerates with increasing polymer concentration and molecular weight. We also show that the relative viscosity of all suspensions can be collapsed by the fluid Mason number [Formula: see text], which compares the hydrodynamic forces imposed by the medium to cohesive forces holding CB agglomerates together. Using simultaneous rheo-electric measurements, we find at high [Formula: see text], the dielectric strength [Formula: see text] scales with [Formula: see text], and the power-law scaling can be quantitatively predicted by considering the self-similar break up of CB agglomerates. The collapse of the relative viscosity and scaling of [Formula: see text] both suggest that PVDF increases the hydrodynamic force of the suspending medium without directly changing the CB agglomerate structure. These findings are valuable for optimizing the rheology of lithium ion battery cathode slurries. We also anticipate that these findings can be extended to understand the microstructure of similar systems under flow.
锂离子电池阴极浆料的微观结构敏感地取决于它们的加工方式,这是由于在涂层流动时炭黑(CB)的演变结构。虽然聚偏二氟乙烯(PVDF)是阴极浆料的主要成分之一,在改变CB的结构和流变性方面发挥着重要作用,但缺乏定量的理解。在这项工作中,我们探索了PVDF在通过流变电测量确定N-甲基-2-吡咯烷酮(NMP)中Super C65 CB的结构演变中的作用。我们发现,随着聚合物浓度和分子量的增加,PVDF提高了NMP的粘度,导致CB团聚体的结构受到更广泛的侵蚀。我们还表明,所有悬浮液的相对粘度都可以通过流体梅森数[公式:见正文]来降低,梅森数将介质施加的流体动力与将CB团聚体保持在一起的内聚力进行了比较。使用同时的流变电测量,我们发现在高[公式:见正文]下,介电强度[公式:参见正文]与[公式:详见正文]成比例,并且可以通过考虑CB团聚体的自相似破裂来定量预测幂律成比例。相对粘度的崩溃和[公式:见正文]的结垢都表明PVDF在不直接改变CB团聚体结构的情况下增加了悬浮介质的流体动力。这些发现对优化锂离子电池阴极浆料的流变性有价值。我们还预计,这些发现可以扩展到理解流动下类似系统的微观结构。
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引用次数: 1
A tube model for predicting the stress and dielectric relaxations of polydisperse linear polymers 预测多分散线性聚合物的应力和介电弛豫的管模型
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-05-01 DOI: 10.1122/8.0000605
Chinmay Das, D. Read
We present an algorithm to predict the linear relaxation spectra for linear polymers of fully general and arbitrary polydispersity. As is common in the tube theory descriptions of linear polymers, we assume that the stress relaxation is affected by both the constraint release and tube escape modes, but unlike most existing descriptions we consider how these two modes of relaxation affect each other. We argue that the proper description for relaxation in an arbitrary blend of linear polymers requires consideration of multiple embedded tubes affecting the different relaxation pathways; we propose a novel but minimal description involving five embedded tubes. Building on prior work for binary blends, we derive the scaling level descriptions of the relaxation pathways. We use a large number of existing experimental results on the stress and dielectric relaxations to validate our model, ensuring we explore a very broad range of parameter space.
提出了一种预测完全一般和任意多分散性线性聚合物线性弛豫谱的算法。在线性聚合物的管理论描述中,我们假设应力松弛受到约束释放和管逃逸模式的影响,但与大多数现有描述不同的是,我们考虑了这两种松弛模式如何相互影响。我们认为,对任意线性聚合物共混弛豫的适当描述需要考虑影响不同弛豫路径的多个嵌入管;我们提出了一种涉及五个嵌入管的新颖但最小的描述。在先前二元共混工作的基础上,我们推导了松弛路径的标度级描述。我们使用大量现有的应力和介电弛豫实验结果来验证我们的模型,确保我们探索了一个非常广泛的参数空间。
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引用次数: 1
A fully physiologically-informed time- and rate-dependent hemorheological constitutive model 一个完全生理信息的时间和速率依赖的血液流变学本构模型
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-04-21 DOI: 10.1122/8.0000552
E. Javadi, M. Armstrong, S. Jamali
From a mechanical perspective, blood is a complex fluid with a rate- and time-dependent response to an applied deformation. At small deformation rates, cell aggregations owing to the bridging of fibrinogen proteins result in the formation of rouleaux structures manifesting in a large increase in the overall viscosity of the blood viscosity and the emergence of measurable yield stress. At elevated deformation rates, these internal aggregated mesostructures are broken down in a dynamical fashion, giving rise to a thermokinematic memory and thixotropic behavior of the blood. These rich and complex rheological features of blood are primarily governed by the interactions between different cells as well as the fraction of red blood cells (RBCs). Here, using a series of detailed computational tools and benchmarking experimental measurements, we present a constitutive model that accurately describes the rate- and time-dependent rheology of blood based on two physiological metrics of the blood: the hematocrit and fibrinogen concentration. We show that the model is capable of accurately predicting blood flow, not only under simple steady flows but also under different flow protocols relevant to a real circulatory system.
从力学的角度来看,血液是一种复杂的流体,对所施加的变形具有速率和时间依赖性的反应。在小变形率下,由于纤维蛋白原蛋白的桥接,细胞聚集导致rouleaux结构的形成,表现为血液粘度的总粘度的大幅增加和可测量的屈服应力的出现。在高变形率下,这些内部聚集的细观结构以动态方式分解,产生血液的热运动记忆和触变行为。血液的这些丰富而复杂的流变学特征主要由不同细胞之间的相互作用以及红细胞(RBCs)的比例决定。在这里,使用一系列详细的计算工具和基准实验测量,我们提出了一个本构模型,该模型基于血液的两个生理指标:红细胞压积和纤维蛋白原浓度,准确描述了血液的速率和时间依赖性流变学。我们表明,该模型能够准确预测血流,不仅在简单的稳定流动下,而且在与真实循环系统相关的不同流动方案下。
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引用次数: 1
Rheology of non-Brownian particle suspensions in viscoelastic solutions. Part 1: Effect of the polymer concentration 粘弹性溶液中非布朗颗粒悬浮液的流变学。第一部分:聚合物浓度的影响
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-03-01 DOI: 10.1122/8.0000540
Anni Zhang, E. Shaqfeh
We study the effect of varying polymer concentration, measured by the dimensionless polymer viscosity partition function [Formula: see text], on the steady shear rheology of rigid particle suspensions using direct numerical simulation of the Oldroyd-B model. We compare the bulk rheology using immersed boundary simulations at [Formula: see text] and [Formula: see text] to body-fitted single-particle simulations and find that the per-particle viscosity and first normal stress difference coefficient are always shear-thickening at all values of [Formula: see text] considered. However, as [Formula: see text] decreases, the polymer stress transforms the flow field near each particle from closed concentric streamlines to helical streamlines that advect stretched polymers away from the particle surface. At low [Formula: see text], the polymer stress is diffuse, where the distribution of the particle induced fluid stress (PIFS) caused by the stretched polymers is spread out in the simulation domain rather than concentrated near the particle surface. Therefore in multiparticle simulations, the polymer stress can be significantly affected by particle-particle interactions. The stress generated by a given particle is disrupted by the presence of particles in its vicinity, leading to a significantly lower PIFS than that of the single-particle simulation. In addition, at increased volume fractions and low values of [Formula: see text], the polymer stress distribution on the particle surface shifts so as to increase the magnitude of the polymer stress moments, resulting in a shear-thickening stresslet contribution to the viscosity that is not seen in single particle or high [Formula: see text] simulations. This result indicates that for suspensions in highly viscoelastic suspending fluids that are characterized by a low [Formula: see text] parameter, hydrodynamic interactions are significant even at modest particle concentrations and fully resolved multiparticle simulations are necessary to understand the rheological behavior.
我们采用Oldroyd-B模型的直接数值模拟,研究了由无量纲聚合物粘度配分函数测量的不同聚合物浓度对刚性颗粒悬浮液稳态剪切流变的影响。我们将浸入边界模拟[公式:见文]和[公式:见文]下的体流变学与贴合体的单颗粒模拟进行了比较,发现在考虑[公式:见文]的所有值时,每颗粒粘度和第一正应力差系数总是剪切增厚的。然而,随着[公式:见文]的减小,聚合物应力将每个颗粒附近的流场从封闭的同心流线转变为螺旋流线,使拉伸的聚合物远离颗粒表面。在低[公式:见文本]时,聚合物应力是扩散的,其中拉伸聚合物引起的颗粒诱导流体应力(PIFS)分布在模拟域中扩散而不是集中在颗粒表面附近。因此,在多粒子模拟中,聚合物的应力会受到粒子间相互作用的显著影响。给定粒子产生的应力被其附近粒子的存在所破坏,导致PIFS明显低于单粒子模拟。此外,在体积分数增大和[公式:见文]值较低时,颗粒表面的聚合物应力分布发生位移,从而增加了聚合物应力矩的大小,导致剪切增厚应力对粘度的贡献,这在单颗粒或高[公式:见文]模拟中是看不到的。该结果表明,对于以低参数为特征的高粘弹性悬浮液中的悬浮液,即使在适度的颗粒浓度下,流体动力学相互作用也很重要,并且需要完全解析的多粒子模拟来理解流变行为。
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引用次数: 3
Viscous dissipation in large amplitude oscillatory shear of unsaturated wet granular matter 非饱和湿粒状物质大振幅振荡剪切中的粘性耗散
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-03-01 DOI: 10.1122/8.0000507
Ahmad Awdi, C. Chateau, F. Chevoir, J. Roux, A. Fall
The present work investigates nonlinear behavior in large amplitude oscillatory shear (LAOS) of unsaturated wet granular materials using pressure-imposed rheometric measurements that enable to explore how the material properties characterizing the flow response depend on both strain amplitude and frequency of deformation. Away from the quasistatic limit, we show that the energy dissipated per unit volume in a single LAOS cycle, which can be visualized by the area enclosed by the Lissajous curve of stress versus strain, is an increasing function of the viscosity of the wetting liquid and is also influenced by the reduced pressure (comparing the cohesive to confining forces) and the frequency. Introducing the inertial number [Formula: see text] and the viscous number [Formula: see text] as previously done, it is shown that the influence of surface tension, viscosity, and driving frequency can be captured by plotting the dissipated energy per unit volume versus the viscous number: a good collapse is obtained. It is shown that an increase in liquid content shifts the whole curve of the dissipated energy upwards, indicating that the overall dissipation mechanism does not change with liquid content, only the energy dissipation related to the internal structure and its breakdown changes.
本工作使用压力施加的流变仪测量研究了不饱和湿颗粒材料在大振幅振荡剪切(LAOS)中的非线性行为,从而能够探索表征流动响应的材料特性如何取决于应变振幅和变形频率。除了准静态极限之外,我们还表明,在单个LAOS循环中,单位体积耗散的能量(可以通过应力-应变的利萨如曲线所包围的区域来可视化)是润湿液粘度的增加函数,也受到减压(比较内聚力和围限力)和频率的影响。如前所述,引入惯性数[公式:见正文]和粘性数[公式,见正文],表明通过绘制单位体积耗散能量与粘性数的关系图,可以捕捉表面张力、粘度和驱动频率的影响:获得了良好的塌陷。结果表明,液体含量的增加使耗散能量的整个曲线向上移动,表明整体耗散机制不随液体含量的变化而变化,只是与内部结构及其击穿有关的能量耗散发生了变化。
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引用次数: 0
Tribological variable-friction coefficient models for the simulation of dense suspensions of rough polydisperse particles 粗糙多分散颗粒密集悬浮液模拟的摩擦学变摩擦系数模型
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-03-01 DOI: 10.1122/8.0000514
J. A. Ruíz-López, S. S. Prasanna Kumar, A. Vázquez-Quesada, J. D. de Vicente, M. Ellero
The rheology of concentrated suspensions of particles is complex and typically exhibits a shear-thickening behavior in the case of repulsive interactions. Despite the recent interest arisen, the causes of the shear-thickening remain unclear. Frictional contacts have been able to explain the discontinuous shear thickening in simulations. However, the interparticle friction coefficient is considered to be constant in most simulations and theoretical works reported to date despite the fact that tribological experiments demonstrate that the friction coefficient can not only be constant (boundary regime) but also decrease (mixed regime) or even increase (full-film lubrication regime), depending on the normal force and the relative velocity between the particles and the interstitial liquid between them. Interestingly, the transition between the boundary regime and the full-lubrication regime is governed by the particle average roughness. Particle-level simulations of suspensions of hard spheres were carried out using short-range lubrication and roughness-dependent frictional forces describing the full Stribeck curve. Suspensions with different particle’s roughness were simulated to show that the particle roughness is a key factor in the shear-thickening behavior; for sufficiently rough particles, the suspension exhibits a remarkable shear-thickening, while for sufficiently smooth particles, the discontinuous shear-thickening disappears.
颗粒浓缩悬浮液的流变学是复杂的,在排斥相互作用的情况下典型地表现为剪切增稠行为。尽管最近引起了人们的兴趣,但剪切增厚的原因仍不清楚。在模拟中,摩擦接触能够解释不连续剪切增厚。然而,尽管摩擦学实验表明,摩擦系数不仅可以是恒定的(边界状态),而且可以减小(混合状态)甚至增加(全膜润滑状态),这取决于法向力和颗粒之间的相对速度以及颗粒之间的间隙液体。有趣的是,在边界状态和完全润滑状态之间的过渡是由颗粒平均粗糙度决定的。对硬球悬浮液进行了颗粒级模拟,采用了短程润滑和粗糙度相关的摩擦力,描述了完整的Stribeck曲线。对不同颗粒粗糙度的悬浮液进行了模拟,结果表明颗粒粗糙度是影响剪切增稠行为的关键因素;对于足够粗糙的颗粒,悬浮液表现出显著的剪切增稠,而对于足够光滑的颗粒,不连续的剪切增稠消失。
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引用次数: 3
Nondestructive rheological measurements of biomaterials with a magnetic microwire rheometer 用磁性微丝流变仪对生物材料进行无损流变测量
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-03-01 DOI: 10.1122/8.0000606
Margaret Braunreuther, M. Liegeois, J. Fahy, G. Fuller
Programmable hydrogels, such as thiolated hydrogels, are frequently used for tissue engineering and drug delivery applications, because they offer the ability to control gelation, degradation, and adhesion. Understanding how the mechanical properties of these materials change during these processes is essential as they directly impact cell fate and delivery efficacy. The rheology of hydrogels has been quantified primarily via bulk rheological methods. While such methods are effective, they require large sample volumes and result in the destruction of the sample; therefore, responses to multiple stimuli must be recorded across many different samples. We have developed a magnetic microwire rheometer that can characterize the rheology of small sample volumes while maintaining the integrity of the sample, such that the material response to a range of stimuli can be recorded for a single sample. This capability enables insights into time-dependent rheological changes, such as gelation and degradation, and can be applied to characterize dynamic in situ systems that are the basis for tissue scaffolding, drug delivery vehicles, and other important biological applications.
可编程水凝胶,如巯基化水凝胶,经常用于组织工程和药物递送应用,因为它们提供了控制凝胶化、降解和粘附的能力。了解这些材料的机械性能在这些过程中是如何变化的至关重要,因为它们直接影响细胞命运和递送效率。水凝胶的流变学主要通过本体流变学方法进行定量。虽然这种方法是有效的,但它们需要大量的样本,并导致样本的破坏;因此,对多种刺激的反应必须记录在许多不同的样本中。我们开发了一种磁性微丝流变仪,可以在保持样品完整性的同时表征小样品体积的流变性,从而可以记录单个样品对一系列刺激的材料响应。这种能力使我们能够深入了解与时间相关的流变变化,如凝胶化和降解,并可用于表征动态原位系统,这些系统是组织支架、药物递送载体和其他重要生物应用的基础。
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引用次数: 1
On the startup behavior of wormlike micellar networks: The effect of different salts bound to the same surfactant molecule 关于蠕虫状胶束网络的启动行为:不同盐与同一表面活性剂分子结合的影响
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-03-01 DOI: 10.1122/8.0000537
R. Pasquino, Pietro Renato Avallone, S. Costanzo, Ionita Inbal, D. Danino, Vincenzo Ianniello, G. Ianniruberto, G. Marrucci, N. Grizzuti
We report on shear startup data for two wormlike micellar solutions, differing only in concentration and type of two binding aromatic sodium salts. The surfactant molecule is cetylpiridinium chloride at a fixed concentration (100 mM). Sodium salicylate (NaSal) and diclofenac sodium (Diclo) are used as binding salts at concentrations 68 mM NaSal and 52 mM Diclo such that both systems are fully entangled and their linear viscoelastic response is essentially identical. Both systems show the linear response typical of a wormlike micellar solution, with terminal behavior at low frequencies, a well-defined moduli crossover, and a plateau modulus. In the nonlinear regime, however, the behavior of the two systems is totally different, suggesting that the molecular structure difference of the salts and their binding activity to the surfactant molecule are both crucial to determine the fast flow behavior. The NaSal solution shows a very complex rheological response, with strain hardening and very sharp stress peaks, whereas the solution containing Diclo behaves much like ordinary linear polymers, exhibiting pronounced overshoots as well as moderate undershoots in the transient shear viscosity, before approaching the steady state. This polymerlike behavior has also been proved by successfully comparing data with predictions of a constitutive equation recently adopted for both entangled polymers and linear wormlike micelles. As far as NaSal is concerned, a phenomenological model based on rubber network theory is developed, which describes the flow singularities. A physical interpretation of the different behavior in the nonlinear regime is also suggested.
我们报道了两种类似蠕虫的胶束溶液的剪切启动数据,这两种溶液的不同之处仅在于两种结合芳香族钠盐的浓度和类型。表面活性剂分子是固定浓度(100 mM)。水杨酸钠(NaSal)和双氯芬酸钠(Diclo)用作浓度为68的结合盐 mM NaSal和52 mM-Diclo,使得两个系统完全纠缠并且它们的线性粘弹性响应基本上相同。这两个系统都显示出蠕虫状胶束溶液的典型线性响应,在低频下具有末端行为,具有明确的模量交叉和平台模量。然而,在非线性状态下,两个系统的行为完全不同,这表明盐的分子结构差异及其与表面活性剂分子的结合活性对决定快速流动行为都至关重要。NaSal溶液表现出非常复杂的流变响应,具有应变硬化和非常尖锐的应力峰值,而含有Diclo的溶液表现得非常像普通线性聚合物,在接近稳态之前,在瞬态剪切粘度中表现出明显的过冲和适度的下冲。通过将数据与最近采用的纠缠聚合物和线性蠕虫状胶束的本构方程的预测进行成功比较,也证明了这种类似聚合物的行为。就NaSal而言,基于橡胶网络理论建立了一个描述流动奇点的现象学模型。还提出了对非线性状态下不同行为的物理解释。
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引用次数: 2
Universal flow-induced orientational ordering of colloidal rods in planar shear and extensional flows: Dilute and semidilute concentrations 平面剪切和拉伸流动中普遍流动诱导的胶体棒取向排序:稀和半稀浓度
IF 3.3 2区 工程技术 Q2 MECHANICS Pub Date : 2023-03-01 DOI: 10.1122/8.0000550
Byoungjin Chun, H. Jung
The design of flow processes to build a macroscopic bulk material from rod-shaped colloidal particles has drawn considerable attention from researchers and engineers. Here, we systematically explore and show that the characteristic strain rate of the flow universally determines the orientational ordering of colloidal rods. We employed the fluctuating lattice Boltzmann method by simulating hydrodynamically interacting Brownian rods in a Newtonian liquid moving under various flow types. By modeling a rigid rod as a chain of nonoverlapping solid spheres with constraint forces and torque, we elucidate rigid rod dynamics with an aspect ratio ([Formula: see text]) either 4.1 or 8.1 under various rotational Péclet number ([Formula: see text]) conditions. The dynamics of colloidal rods in dilute ([Formula: see text]) and semidilute suspensions ([Formula: see text]) were simulated for a wide range of [Formula: see text] ([Formula: see text]) under shear flows including Couette and Poiseuille flows in a planar channel geometry, and an extensional and mixed-kinematics flow in a periodic four-roll mill geometry, where [Formula: see text] is the number density, and [Formula: see text] and [Formula: see text] are the diameter and length of the rod, respectively. By evaluating the degree of orientational alignment of rods along the flows, we observed that there is no significant difference between flow types, and the flow-induced ordering of rods depends on the variation of [Formula: see text] up to moderate [Formula: see text] ([Formula: see text]). At a high [Formula: see text] ([Formula: see text]), the degree of orientational ordering is prone to diversify depending on the flow type. The spatial inhomogeneity of the strain-rate distribution leads to a substantial decrease in the orientational alignment at high [Formula: see text].
用棒状胶体颗粒构建宏观块状材料的流动过程设计引起了研究人员和工程师的极大关注。在这里,我们系统地探索并证明了流动的特征应变速率普遍地决定了胶体棒的取向顺序。采用波动晶格玻尔兹曼方法,模拟了牛顿流体中布朗棒在不同流型下的流体动力学相互作用。通过将刚性杆建模为具有约束力和扭矩的非重叠实心球体链,我们阐明了在各种旋转p录影带数([公式:见文本])条件下,长径比([公式:见文本])为4.1或8.1的刚性杆动力学。在大范围的[公式:见文]([公式:见文])下,模拟了稀([公式:见文])和半稀悬浮液([公式:见文])中胶棒在剪切流(包括平面通道几何中的Couette和Poiseuille流)和周期性四辊轧机几何中的拉伸和混合运动流([公式:见文]是数字密度,[公式:见文]和[公式:见文])中的动力学。分别为杆的直径和长度。通过评估棒沿流动的定向排列程度,我们观察到不同流动类型之间没有显著差异,流动诱导的棒排列取决于[公式:见文]的变化到中等[公式:见文]([公式:见文])。在高[公式:见文]([公式:见文])时,定向排序的程度会随着流类型的不同而发生变化。应变率分布在空间上的不均匀性导致在高位处取向排列显著降低[公式:见文]。
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引用次数: 4
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Journal of Rheology
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