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Integral fractional viscoelastic models in SPH: LAOS simulations versus experimental data SPH: LAOS模拟与实验数据的积分分数粘弹性模型
IF 3 3区 工程技术 Q2 MECHANICS Pub Date : 2026-01-17 DOI: 10.1007/s00397-025-01533-8
Luca Santelli, Adolfo Vázquez-Quesada, Aizeti Burgoa, Aitor Arriaga, Rikardo Hernandez, Marco Ellero

The rheological behaviour of a polymer was investigated by performing numerical simulations in complex flow and comparing them to experiments. For our simulations, we employed a Smoothed Particle Hydrodynamics scheme, utilising an integral fractional model based on the K-BKZ framework. The results are compared with experiments performed on melt-state isotactic polypropylene under medium and large amplitude oscillatory shear. The numerical results are in good agreement with the experimental data, and the model is able to capture and predict both the linear and the non-linear viscoelastic behaviours of the polymer melt. Results show that equipping SPH with an integral fractional model is a promising approach for the simulation of complex polymeric materials under realistic conditions.

Graphical abstract

通过数值模拟研究了聚合物在复杂流动中的流变性能,并与实验结果进行了比较。对于我们的模拟,我们采用了光滑粒子流体动力学方案,利用基于K-BKZ框架的积分分数模型。结果与中、大振幅振荡剪切作用下熔融态等规聚丙烯的实验结果进行了比较。数值计算结果与实验数据吻合较好,该模型能够捕捉和预测聚合物熔体的线性和非线性粘弹性行为。结果表明,在SPH中加入积分分数模型是一种很有前途的方法,可用于复杂聚合物材料在现实条件下的模拟。图形抽象
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引用次数: 0
Rheological response of whey protein deposits forming under shear in concentrated conditions 浓缩条件下剪切形成的乳清蛋白沉积物的流变响应
IF 3 3区 工程技术 Q2 MECHANICS Pub Date : 2025-12-20 DOI: 10.1007/s00397-025-01534-7
Margot Grostete, Jeehyun Lee, Françoise Boissel, Maude Jimenez, Romain Jeantet, Luca Lanotte

Dairy fouling consists in the accumulation of whey proteins and minerals on equipment walls. While heat-induced protein denaturation is a primary cause, fouling also occurs below the denaturation threshold (≈ 70 °C). This leads to a renewed interest in other driving forces influencing fouling mechanisms. In this wake, this study investigates the role of shear on the formation of whey protein deposits under sub-denaturation temperature and concentrated conditions. We compared morphology and rheological behavior of shear-induced and unsheared structures formed at 15 and 20 wt% protein concentrations. While unsheared gel-like deposits were compact and stiff, shear led to the formation of weaker, more porous, and highly crosslinked structures. This effect was more pronounced at higher concentrations, where shear counteracted heat-induced aggregation, resulting in an alternative structural organization. These findings provide new insights not only into whey protein gelation but also into dairy fouling mechanisms, highlighting a concentration-dependent shear effect.

Graphical Abstract

乳制品污染包括乳清蛋白和矿物质在设备壁上的积累。虽然热诱导的蛋白质变性是主要原因,但低于变性阈值(≈70°C)也会发生污垢。这导致了对影响污垢机制的其他驱动力的重新关注。因此,本研究探讨了在亚变性温度和浓缩条件下剪切对乳清蛋白沉积形成的作用。我们比较了在15%和20%的蛋白质浓度下形成的剪切诱导和未剪切结构的形态学和流变学行为。未剪切的凝胶状沉积物致密而坚硬,而剪切导致形成更弱、更多孔、高度交联的结构。这种效应在较高浓度下更为明显,剪切抵消了热诱导的聚集,导致另一种结构组织。这些发现不仅为乳清蛋白凝胶化提供了新的见解,也为乳制品污染机制提供了新的见解,强调了浓度依赖性剪切效应。图形抽象
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引用次数: 0
Leveraging viscoelasticity for load enhancement in rotating contacts 利用粘弹性来增强旋转接触的负载
IF 3 3区 工程技术 Q2 MECHANICS Pub Date : 2025-12-18 DOI: 10.1007/s00397-025-01529-4
Humayun Ahmed, Luca Biancofiore

Tribological components such as bearings and gears sustain a tremendous external load and operate at high relative speeds. For hydrodynamically lubricated contacts, subject to these extreme conditions, the lubricating fluid film exhibits non-Newtonian characteristics. In particular, when the ratio of fluid relaxation time to the flow residence time, i.e., the Deborah number ((varvec{De})), becomes appreciable, viscoelastic effects emerge. In this work, we model the effect of viscoelasticity using the viscoelastic Reynolds equation (VR) in cylindrical coordinates under the ultra-dilute limit in which the solvent concentration in terms of viscosity is larger than the polymeric contribution. As such, the velocity field remains Newtonian and the polymer stress constitutive relation is further simplified. We examine the effect of fluid viscoelasticity on the load carrying capacity for two geometries; (i) a conical configuration (that could be aligned or misaligned) and (ii) a flat surface embedded with different kind of textures. Our results show that viscoelasticity can enhance the load carrying capacity in both cases. Small errors in alignment strongly affect the trend in the load versus (varvec{De}) and a strong nonlinear trend emerges exhibiting load both saturation and diminishment. Introducing pockets in the surface further improves the load bearing capability beyond the Newtonian values. However, numerical simulation of such textured configurations is challenging and, unlike the inclined asymmetric cone, large values of the Deborah number could not be reached.

轴承和齿轮等摩擦学部件承受巨大的外部负载并以较高的相对速度运行。对于流体动力润滑接触,受制于这些极端条件,润滑流体膜表现出非牛顿特性。特别是,当流体松弛时间与流动停留时间之比,即黛博拉数((varvec{De}))变得可观时,就会出现粘弹性效应。在这项工作中,我们在超稀极限下,在粘度方面溶剂浓度大于聚合物贡献的情况下,使用柱坐标下的粘弹性雷诺兹方程(VR)来模拟粘弹性的影响。这样,速度场仍然是牛顿的,聚合物的应力本构关系进一步简化。我们研究了流体粘弹性对两种几何形状的承载能力的影响;(i)圆锥形结构(可以对齐或不对齐)和(ii)嵌入不同纹理的平面。结果表明,在两种情况下,粘弹性均能提高其承载能力。对准中的小误差强烈地影响了负载相对(varvec{De})的趋势,并且出现了强烈的非线性趋势,显示负载饱和和衰减。在表面引入凹槽进一步提高了超出牛顿值的承载能力。然而,这种纹理结构的数值模拟具有挑战性,并且与倾斜不对称锥不同,无法达到大的黛博拉数。
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引用次数: 0
Special issue devoted to the XVIII Italian society of rheology conference (SIR 2024) 第十八届意大利流变学会会议特刊(SIR 2024)
IF 3 3区 工程技术 Q2 MECHANICS Pub Date : 2025-12-16 DOI: 10.1007/s00397-025-01539-2
Sergio Caserta, Claudia Carotenuto, Gaetano D’Avino, Giovanna Tomaiuolo
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引用次数: 0
Rheology of silica nanoparticle-stabilized pickering emulsions 纳米二氧化硅稳定酸洗乳剂的流变学研究
IF 3 3区 工程技术 Q2 MECHANICS Pub Date : 2025-12-10 DOI: 10.1007/s00397-025-01532-9
Ruihui Yun, Yue Liang, Jiaxin Wu, Lesen Ma, Florian J. Stadler

We investigated structure–rheology relationships in oil-in-water Pickering emulsions stabilized by hydrophilic fumed silica (Aerosil) with a cationic co-emulsifier (didodecyldimethylammonium bromide, DDAB). A systematic composition matrix (Aerosil 2–6 wt%; DDAB 1–9 mg per 3 mL oil) decouples particle from surfactant effects. Optical microscopy and SEM/EDS confirm silica-armored droplets; morphological stability requires sufficiently high particle loading and modest DDAB, whereas low Aerosil or very low DDAB leads to merged “lakes”. Steady flow shows strong shear-thinning and a pronounced first-interval effect: the initial high-rate sweep erases the rested structure, after which start-up curves become reproducible. Oscillatory tests establish weak-gel signatures (G’ > G”, weak frequency dependence), with strain sweeps revealing a clear elastic plateau and a G” peak near yield. Increasing Aerosil elevates the modulus scale, broadens the linear-viscoelastic window, and delays softening; increasing DDAB at fixed particle fraction softens the emulsion and advances yielding. Multiple-interval thixotropic tests (miTT) quantify flow-history memory: the recovered small-amplitude moduli G’(γ̇prev) and G”(γ̇prev) decrease monotonically with prior shear rate, recover only partially between pulses, and—when normalized—show greater resilience at higher Aerosil but heightened sensitivity with surplus DDAB. These insights provide a practical formulation window for tunable, robust emulsions.

我们研究了由亲水气相二氧化硅(Aerosil)和阳离子共乳化剂(二十二烷基二甲基溴化铵,DDAB)稳定的油包水皮克林乳剂的结构-流变关系。系统组成基质(Aerosil 2-6 wt%; DDAB 1-9 mg / 3ml油)将颗粒从表面活性剂效应中解耦。光学显微镜和扫描电镜/能谱分析证实了硅甲液滴;形态稳定性需要足够高的颗粒负荷和适度的DDAB,而低Aerosil或非常低的DDAB会导致合并的“湖泊”。稳定流动表现出强烈的剪切减薄和明显的第一段效应:初始的高速率扫掠抹去了休息的结构,之后启动曲线变得可重复。振荡试验建立了弱凝胶特征(G ' > G “,弱频率依赖性),应变扫描显示出明显的弹性平台和接近屈服的G ”峰。增加Aerosil提高了模量尺度,拓宽了线粘弹性窗口,延缓了软化;在一定的颗粒分数下增加DDAB,可使乳状液软化,提高产量。多段触变试验(miTT)量化了流动历史记忆:恢复的小幅度模量G’(γ³prev)和G’”(γ³prev)随着先前的剪切速率单调降低,在脉冲之间仅部分恢复,并且在归一化时,在较高的Aerosil下显示出更大的弹性,但在剩余DDAB下显示出更高的敏感性。这些见解为可调、健壮的乳剂提供了一个实用的配方窗口。
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引用次数: 0
Three-dimensional tracking of particle migration in viscoelastic fluids via oscillatory microfluidics 基于振荡微流体的粘弹性流体中颗粒迁移的三维跟踪
IF 3 3区 工程技术 Q2 MECHANICS Pub Date : 2025-12-04 DOI: 10.1007/s00397-025-01535-6
Daniele Tammaro, Federica Ida Borrata, Gaetano D’Avino, Pier Luca Maffettone

We present an experimental microfluidic platform capable of reconstructing full three-dimensional trajectories of single particles in viscoelastic fluids by exploiting oscillatory flow. The system combines synchronized high-speed imaging from orthogonal perspectives with a custom-fabricated square microchannel and optical correction techniques, enabling high-resolution, time-resolved observation of particle dynamics. The device is applied to study the migration of spherical particles in Polyethylene Oxide solutions, providing the first complete measurements of particle trajectories in such flows. The effects of initial particle position, flow rate, oscillation period, and fluid rheology are systematically analyzed.

我们提出了一个实验微流控平台,能够通过利用振荡流动重建粘弹性流体中单个颗粒的完整三维轨迹。该系统结合了正交角度同步高速成像、定制方形微通道和光学校正技术,实现了高分辨率、时间分辨的粒子动力学观测。该装置用于研究球形颗粒在聚氧化物溶液中的迁移,首次提供了此类流动中颗粒轨迹的完整测量。系统分析了初始颗粒位置、流速、振荡周期和流体流变性的影响。
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引用次数: 0
Synergistic improvement in flowability and rheological properties of waxy oil by graphene 石墨烯协同改善蜡质油的流动性和流变性能
IF 3 3区 工程技术 Q2 MECHANICS Pub Date : 2025-11-17 DOI: 10.1007/s00397-025-01530-x
Jiaqiang Jing, Qiuyue Wang, Junyu Pu, Rinat Karimov, Xinyu Luo, Jie Sun

The poor low-temperature flowability of waxy crude oil poses significant challenges for pipeline transportation. To address the issue, this study systematically investigates the potential of graphene materials as novel flow improvers, utilizing steady and dynamic rheology in conjunction with microstructural characterization techniques. Rheological analyses demonstrate that graphene at an optimal concentration of 400 ppm reduces the viscosity of the oil by 23.43% and lowers the pour point by 5.1 ± 0.5 °C in oil with 7.4 wt% wax. The graphene weakens the gel structure’s strength, decreasing the thixotropic loop area by 22.63% and the critical shear stress from 63 Pa to 16 Pa. The addition of graphene substantially reduced the median wax crystal length from 39.15 μm to 18.77 μm and enhanced structural disorder. These findings establish a relationship between graphene modification, wax crystal evolution, and improved flowability, thereby providing fundamental insights into the application of graphene for enhancing the flow assurance of waxy crude oil in pipeline transportation.

含蜡原油低温流动性差,给管道输送带来了重大挑战。为了解决这个问题,本研究系统地研究了石墨烯材料作为新型流动改进剂的潜力,利用稳定和动态流变学与微观结构表征技术相结合。流变学分析表明,在含7.4 wt%蜡的油中,石墨烯的最佳浓度为400 ppm时,其粘度降低了23.43%,倾点降低了5.1±0.5°C。石墨烯降低了凝胶结构的强度,使触变环面积减少了22.63%,临界剪切应力从63 Pa降至16 Pa。石墨烯的加入使蜡晶中位长度从39.15 μm大幅缩短至18.77 μm,并增强了结构的无序性。这些发现建立了石墨烯改性、蜡晶演化和流动性改善之间的关系,从而为石墨烯在管道运输中增强含蜡原油流动保障的应用提供了基础见解。
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引用次数: 0
Modelling sol-gel transition and mechanical properties of hydrogels using statistical learning 利用统计学习模拟水凝胶的溶胶-凝胶过渡和力学性质
IF 3 3区 工程技术 Q2 MECHANICS Pub Date : 2025-11-15 DOI: 10.1007/s00397-025-01528-5
Enrique Manso Castillo, Williams Brett, Javier Tarrio Saavedra, Salvador Naya Fernández, Jorge Lopez Beceiro, Alain Ponton

The present study reports a quantitative analysis of the gelation kinetics and mechanical behaviour of chitosan-based hydrogels chemically crosslinked with glyoxal. Time-resolved mechanical spectroscopy (TRMS) was coupled with non-parametric generalised additive models (GAM) to accurately model the evolution of viscoelastic moduli and determine statistically key parameters at the gel point, including gel time (tg), gel stiffness (S), and relaxation exponent (Δ). The effect of polymer and crosslinker concentrations on these parameters was established with the use of GAM and validated by multivariate linear regression, yielding interpretable parametric models. In a similar way, a detailed statistical analysis of oscillatory and uniaxial compression measurements of fully gelled hydrogels in both swollen and dry states revealed distinct trends in mechanical response: crosslinker concentration enhanced stiffness in the swollen state but exhibited a saturation effect in the dry state. Convolutional neural network (U-Net) analysis of scanning electron microscopy (SEM) images was, finally, able to provide structural insight correlating pore morphology with mechanical properties. The findings demonstrate the utility of statistical learning tools in increasing knowledge of the mechanical and morphological properties of hydrogels.

Graphical Abstract

本文报道了壳聚糖基水凝胶与乙二醛化学交联的凝胶动力学和力学行为的定量分析。时间分辨力学光谱(TRMS)与非参数广义加性模型(GAM)相结合,精确模拟粘弹性模量的演变,并确定凝胶点的统计关键参数,包括凝胶时间(tg)、凝胶刚度(S)和弛豫指数(Δ)。使用GAM建立了聚合物和交联剂浓度对这些参数的影响,并通过多元线性回归验证,得到了可解释的参数模型。以类似的方式,对肿胀和干燥状态下全凝胶水凝胶的振荡和单轴压缩测量进行了详细的统计分析,揭示了机械响应的明显趋势:交联剂浓度增强了肿胀状态下的刚度,但在干燥状态下表现出饱和效应。最后,对扫描电子显微镜(SEM)图像进行卷积神经网络(U-Net)分析,能够提供将孔隙形态与力学性能相关联的结构洞察力。这些发现证明了统计学习工具在增加水凝胶力学和形态特性知识方面的效用。图形抽象
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引用次数: 0
Contact distribution–based prediction of yield stress in magnetorheological fluids 基于接触分布的磁流变流体屈服应力预测
IF 3 3区 工程技术 Q2 MECHANICS Pub Date : 2025-11-14 DOI: 10.1007/s00397-025-01527-6
Manuel J. Espín

Magnetorheological (MR) fluids exhibit field-dependent rheological behavior arising from the reversible formation of particle chains under applied magnetic fields. Predicting the static yield stress of these systems remains a central challenge in their modeling and design. This work presents a closed-form analytical expression for the yield stress of MR fluids, derived from a particle-scale formulation that incorporates multipolar magnetic interactions and microstructural descriptors. The model explicitly accounts for the average number of interparticle contacts and the inclination angle of the chains relative to the internal magnetic field within the suspension, based on a simple microstructural hypothesis involving chain-like aggregates. A mechanical stability criterion is also formulated by identifying a critical inclination angle, (theta _{textrm{c}}), below which chains remain stable under the combined influence of magnetic attraction and hydrodynamic shear. This condition is obtained from force and torque balance at the chain–particle level and is applicable over a wide range of experimental conditions. Model validation is performed through complementary comparisons: the yield stress predicted by the model is directly contrasted with experimental data, while the corresponding chain inclination angles reconstructed from these measurements are compared with theoretical predictions of (theta _{textrm{c}}). The results show that the formulation captures observed trends and outperforms classical dipolar approaches across diverse particle sizes, magnetic properties, and field strengths, with confirmed applicability up to (phi lesssim 0.20). Additionally, an analysis of competing interparticle forces reinforces the assumptions underlying the model and its domain of applicability.

磁流变(MR)流体表现出磁场依赖的流变行为,由外加磁场下颗粒链的可逆形成引起。预测这些系统的静态屈服应力仍然是其建模和设计的核心挑战。这项工作提出了一个封闭形式的MR流体屈服应力的分析表达式,该表达式来源于一个包含多极磁相互作用和微观结构描述符的颗粒级公式。该模型基于一个涉及链状聚集体的简单微观结构假设,明确地考虑了颗粒间接触的平均次数和链相对于悬浮液内部磁场的倾角。通过确定一个临界倾斜角(theta _{textrm{c}}),还制定了机械稳定性准则,在此倾斜角以下,链在磁力和流体动力剪切的综合影响下保持稳定。这个条件是由链-颗粒级的力和扭矩平衡得到的,适用于广泛的实验条件。通过互补比较对模型进行验证:直接将模型预测的屈服应力与实验数据进行对比,并将这些测量结果重建的相应链倾角与(theta _{textrm{c}})的理论预测进行比较。结果表明,该公式捕捉到观察到的趋势,并优于经典的偶极子方法,适用于不同的粒径、磁性和场强,其适用性可达(phi lesssim 0.20)。此外,对相互竞争的粒子间力的分析加强了模型及其适用范围的假设。
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引用次数: 0
Quick starch guide: a perspective on shear thickening in dense non-Brownian suspensions 快速淀粉指南:致密非布朗悬浮液剪切增稠的观点
IF 3 3区 工程技术 Q2 MECHANICS Pub Date : 2025-11-01 DOI: 10.1007/s00397-025-01519-6
Cécile Clavaud, Abhinendra Singh

In this article, we provide a brief perspective on recent developments in the study of shear thickening in dense suspensions. We give a rapid overview of the state of the art and discuss current models aiming to describe this particular rheology. Although most of the experiments and simulation studies are conducted in “ideal” flows, where the sample is confined without an open boundary condition, we have decided to highlight more realistic flow conditions. We further provide an overview on how to relate the recently proposed constitutive models to these more practical flow conditions like pipe flow or flow down an incline.

在这篇文章中,我们提供了一个简要的观点,最近发展的研究剪切增厚在密集悬浮物。我们给出了艺术状态的快速概述,并讨论旨在描述这种特殊流变的当前模型。虽然大多数实验和模拟研究都是在“理想”流动中进行的,其中样品被限制在没有开放边界条件的情况下,但我们决定强调更现实的流动条件。我们进一步概述了如何将最近提出的本构模型与这些更实际的流动条件(如管道流动或沿斜面流动)联系起来。
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引用次数: 0
期刊
Rheologica Acta
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