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Correction to: A metamodel for confined yield stress flows and parameters’ estimation 更正:约束屈服应力流元模型及参数估计
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-03-06 DOI: 10.1007/s00397-024-01441-3
Clément Berger, David Coulette, Paul Vigneaux
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引用次数: 0
Generalized second-grade fluid flow over a tilted plate with bump topography 带有凹凸地形的倾斜板上的广义二级流体流动
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-03-02 DOI: 10.1007/s00397-024-01438-y
Mahesh T, Satyananda Panda

The long-wave theory is used to model the thin film flow of a generalized second-grade fluid (GSGF) down a tilted plate with a bump topography. The derived single non-linear partial differential equation for the film thickness describes the surface wave generated by the bump, which disturbs the uniform flow. The model involves the non-Newtonian and geometrical parameters that investigate the wave’s shape and amplitude. The model equation is strongly non-linear due to the GSGF’s constitutive equations, and it is solved numerically using the finite volume method, where the flux function is approximated implicitly using the upwind scheme. The simulation reveals that the bump creates the surface wave, it splits and propagates, and its shape and size are influenced by the bump’s height and the non-Newtonian fluid properties.

长波理论用于模拟广义第二级流体(GSGF)在具有凹凸地形的倾斜板上的薄膜流动。推导出的薄膜厚度单非线性偏微分方程描述了凹凸产生的表面波,它扰乱了均匀流动。该模型涉及研究波形和振幅的非牛顿参数和几何参数。由于 GSGF 的构成方程,该模型方程具有很强的非线性,采用有限体积法对其进行数值求解,其中通量函数采用上风方案隐式近似。模拟结果表明,凹凸产生表面波,表面波分裂并传播,其形状和大小受凹凸高度和非牛顿流体特性的影响。
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引用次数: 0
A metamodel for confined yield stress flows and parameters’ estimation 约束屈服应力流和参数估计的元模型
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-02-27 DOI: 10.1007/s00397-024-01436-0
Clément Berger, David Coulette, Paul Vigneaux

With the growing demand of mineral consumption, the management of the mining waste is crucial. Cemented paste backfill (CPB) is one of the techniques developed by the mining industry to fill the voids generated by the excavation of underground spaces. The CPB process is the subject of various studies aimed at optimizing its implementation in the field. In this article, we focus on the modelling of the backfill phase where it has been shown in Vigneaux et al. (Cem. Concr. Res. 164:107038, 2023) that a viscoplastic lubrication model can be used to describe CPB experiments. The aim here is to propose an accelerated method for performing the parameters’ estimation of the properties of the paste (typically its rheological properties), with an inverse problem procedure based on observed height profiles of the paste. The inversion procedure is based on a metamodel built from an initial partial differential equation model, thanks to a polynomial chaos expansion coupled with a principal component analysis.

随着矿产消费需求的不断增长,采矿废料的管理至关重要。水泥浆回填(CPB)是采矿业开发的技术之一,用于填补挖掘地下空间时产生的空隙。CPB 工艺是各种研究的主题,旨在优化其现场实施。在本文中,我们将重点关注回填阶段的建模,Vigneaux 等人(Cem. Concr. Res. 164:107038, 2023)的研究表明,粘弹性润滑模型可用于描述 CPB 实验。本文的目的是提出一种加速方法,根据观察到的浆料高度剖面,利用反问题程序对浆料特性(通常是流变特性)进行参数估计。由于多项式混沌扩展与主成分分析相结合,反演程序基于从初始偏微分方程模型建立的元模型。
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引用次数: 0
Influence of various pretreatments on molecular and rheological properties of a linear and a long-chain branched polypropylene 各种预处理对线性和长链支化聚丙烯分子和流变特性的影响
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-02-26 DOI: 10.1007/s00397-024-01437-z
Helmut Münstedt, Joachim Kaschta

The influence of a mechanical or a thermal pretreatment of a linear (L-PP) and a long-chain branched polypropylene (LCB-PP) in the molten state was studied. The molar mass distributions and the branching structure were determined by high-temperature gel permeation chromatography HT-GPC coupled with laser-light scattering. The samples were extruded through long or short capillaries of various geometries corresponding to a predominant shear or elongational deformation. As a rheological probe, the extrudate swell at low stresses was measured for the differently pretreated samples. For the L-PP, neither molecular nor rheological changes were observed. However, the extrudate swell of the LCB-PP was found to decrease with increasing volume throughput. It was more strongly affected by shear in the capillary than by molecule stretching in the entry region. The smaller extrudate swell was accompanied by a decrease of the high molar mass tail of the LCB-PP, which could be the reason for the decay of swell, in principle. However, a comparable degradation of the high molar mass tail was obtained by a pure thermal treatment that was shown to leave the extrudate swell unchanged. This result and the unaffected branching structures found by high-temperature gel permeation chromatography (HT-GPC) support the hypothesis of a change of the branching topography by the mechanical pretreatment.

研究了线性聚丙烯(L-PP)和长链支化聚丙烯(LCB-PP)在熔融状态下机械预处理或热预处理的影响。采用高温凝胶渗透色谱法 HT-GPC 和激光光散射法测定了摩尔质量分布和支化结构。样品通过不同几何形状的长毛细管或短毛细管挤出,这些毛细管的几何形状与主要的剪切变形或拉伸变形相对应。作为流变学探针,测量了不同预处理样品在低应力下的挤出膨胀率。对于 L-PP 样品,既没有观察到分子变化,也没有观察到流变变化。不过,随着体积产量的增加,LCB-PP 的挤出物膨胀率会降低。毛细管中的剪切力比入口区域的分子拉伸对其影响更大。在挤出物膨胀变小的同时,LCB-PP 的高摩尔质量尾部也随之减小,这在原则上可能是膨胀变小的原因。然而,通过纯热处理,高摩尔质量尾部的降解程度相当,这表明挤出物的膨胀率保持不变。这一结果以及高温凝胶渗透色谱法(HT-GPC)发现的未受影响的支化结构支持了机械预处理改变支化拓扑结构的假设。
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引用次数: 0
Frequency response analysis of the Bautista-Manero-Puig model with normal stress: analytical and numerical solution for large amplitudes 具有法向应力的 Bautista-Manero-Puig 模型的频率响应分析:大振幅的分析和数值解法
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-02-16 DOI: 10.1007/s00397-024-01434-2
E. Hernandez, F. Bautista, J. P. García-Sandoval, O. Manero

We derive explicit analytical expressions for the recurrence relations using the analytical matrix method for frequency response and the Bautista-Manero-Puig model for complex fluids. The BMP model is derived from the Extended Irreversible Thermodynamics formalism and has been shown to be useful in predicting the complex rheological behavior of self-associative systems. All harmonics of the alternating normal and shear stresses in oscillatory shear with various amplitude oscillatory regimes (AOS) can be calculated analytically, i.e., small amplitude oscillatory shear (SAOS), medium amplitude oscillatory shear (MAOS), and large amplitude oscillatory shear (LAOS). We show that incorporating the effects of the first and second normal stress differences for all AOS regimes leads to the emergence of higher harmonics. We establish the limits between the different AOS regimes based on criteria suggested by the analytical method. For some typical systems, such as CTAB-NaSal, we found a satisfactory quantitative agreement with the measured behavior of AOS.

我们利用频率响应的解析矩阵法和复杂流体的 Bautista-Manero-Puig 模型推导出了递推关系的明确解析表达式。BMP 模型源于扩展不可逆热力学形式主义,已被证明可用于预测自耦合系统的复杂流变行为。振荡剪切中交变法向应力和剪切应力的所有谐波以及各种振幅振荡区(AOS)都可以通过分析计算出来,即小振幅振荡剪切(SAOS)、中振幅振荡剪切(MAOS)和大振幅振荡剪切(LAOS)。我们的研究表明,将第一和第二法向应力差的影响纳入所有 AOS 体系会导致高次谐波的出现。我们根据分析方法提出的标准,确定了不同 AOS 状态之间的界限。对于一些典型的系统,如 CTAB-NaSal,我们发现其与 AOS 的测量行为在定量方面达到了令人满意的一致。
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引用次数: 0
Theoretical study on Poiseuille flow of thixotropic yield stress fluids: an exact solution 触变屈服应力流体的 Poiseuille 流动理论研究:精确解法
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-02-08 DOI: 10.1007/s00397-024-01431-5
Ren Jiangtao, Yin Deshun, Zhao Bin, Ma Liangzhu

The steady pipe flow of thixotropic yield stress fluids has been investigated theoretically based on a modified isotropic kinematic hardening (mIKH) model. Analytical solution is derived for a specific case (m = n = 1) and a general semi-analytical solution is put forward as well. The effect of thixotropic yield stress on shear rate and velocity profiles is illustrated by comparing to other well-known solutions. Moreover, the influences of model parameters are examined. It is worth noting that shear banding may occur at the yielded surface in case of a sufficiently large Bingham number, thixotropic number, and flow index, but a sufficient small value of structure-related exponent.

基于修正的各向同性运动硬化(mIKH)模型,对触变屈服应力流体的稳定管道流动进行了理论研究。针对特定情况(m = n = 1)得出了分析解,并提出了一般的半分析解。通过与其他著名解法的比较,说明了触变屈服应力对剪切速率和速度曲线的影响。此外,还考察了模型参数的影响。值得注意的是,在宾汉数、触变数和流动指数足够大,但结构相关指数足够小的情况下,屈服表面可能会出现剪切带。
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引用次数: 0
Fully angularly resolved 3D microrheology with optical tweezers 利用光学镊子实现完全角度分辨的三维微流变学
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-02-08 DOI: 10.1007/s00397-024-01435-1
Andrew B. Matheson, Tania Mendonca, Matthew G. Smith, Ben Sutcliffe, Andrea Jannina Fernandez, Lynn Paterson, Paul A. Dalgarno, Amanda J. Wright, Manlio Tassieri

Microrheology with optical tweezers (MOT) is an all-optical technique that allows the user to investigate a materials’ viscoelastic properties at microscopic scales, and is particularly useful for those materials that feature complex microstructures, such as biological samples. MOT is increasingly being employed alongside 3D imaging systems and particle tracking methods to generate maps showing not only how properties may vary between different points in a sample but also how at a single point the viscoelastic properties may vary with direction. However, due to the diffraction limited shape of focussed beams, optical traps are inherently anisotropic in 3D. This can result in a significant overestimation of the fluids’ viscosity in certain directions. As such, the rheological properties can only be accurately probed along directions parallel or perpendicular to the axis of trap beam propagation. In this work, a new analytical method is demonstrated to overcome this potential artefact. This is achieved by performing principal component analysis on 3D MOT data to characterise the trap, and then identify the frequency range over which trap anisotropy influences the data. This approach is initially applied to simulated data for a Newtonian fluid where the trap anisotropy induced maximum error in viscosity is reduced from ~ 150% to less than 6%. The effectiveness of the method is corroborated by experimental MOT measurements performed with water and gelatine solutions, thus confirming that the microrheology of a fluid can be extracted reliably across a wide frequency range and in any arbitrary direction. This work opens the door to fully spatially and angularly resolved 3D mapping of the rheological properties of soft materials over a broad frequency range.

使用光学镊子的微观流变学(MOT)是一种全光学技术,可让用户在微观尺度上研究材料的粘弹性能,尤其适用于那些具有复杂微观结构的材料,如生物样品。MOT 越来越多地与三维成像系统和粒子跟踪方法结合使用,不仅能生成显示样品中不同点之间特性变化的地图,还能显示单点粘弹性特性随方向的变化情况。然而,由于聚焦光束的衍射受限,光学陷阱在三维空间中本身就是各向异性的。这会导致在某些方向上高估流体的粘度。因此,只能沿着平行或垂直于陷阱光束传播轴的方向精确探测流变特性。在这项工作中,我们展示了一种新的分析方法来克服这种潜在的误差。具体做法是对三维 MOT 数据进行主成分分析,以确定陷波器的特征,然后确定陷波器各向异性影响数据的频率范围。这种方法最初应用于牛顿流体的模拟数据,在该模拟数据中,陷波器各向异性引起的最大粘度误差从约 150% 降至 6% 以下。对水和明胶溶液进行的 MOT 实验测量证实了该方法的有效性,从而证实流体的微观流变学可以在很宽的频率范围和任意方向上可靠地提取出来。这项工作为在宽频率范围内绘制软材料流变特性的完全空间和角度分辨三维图打开了大门。
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引用次数: 0
From Alveograph test to extensional behavior of wheat flour dough 从阿尔维图测试到小麦粉面团的扩展行为
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-01-23 DOI: 10.1007/s00397-024-01430-6
Maude Dufour, Laurent Chaunier, Florence Hugon, Aurore Dugué, Kamal Kansou, Luc Saulnier, Guy Della Valle

Dough extensional properties obtained from 14 wheat flours hydrated at 50% (/flour weight) were assessed by the empirical test of Alveograph, a bubble inflation test, and by the rheometric test of uniaxial compression in lubricated conditions (LSF) at large deformations. In baking industry, comparison between flours is based on several parameters (n ≥ 5) defined from the alveogram, which is the time variations of pressure inside dough. In this study, the alveogram is converted into a stress-strain curve (σ = f(εb)). Then, from this curve, the extensional behavior coefficient of the flours, assessed by the consistency k0, is fitted between 0 ≤ εb ≤ 1.5, assuming (dot{varepsilon_b}) = 0.25 s−1 (R2 = 0.99 ± 0.01 for 14 flours). The flow index (n = 0.36) and strain hardening index (SHI = 1.73) are kept constant. The model is validated by comparing the stress values calculated from the alveogram to those measured in LSF for wheat flour doughs hydrated at 50% (R2 = 0.91) at εb = 1 and 0.25.10−2 < (dot{varepsilon_b})< 2.5 s−1. Therefore, the Alveograph, which allows classifying flours according to several dough stretching properties, also provides access to the model of dough extensional behavior.

Determining dough extensional properties for alveograph test and validating by comparison with resutls obtained by LSF

摘要 通过气泡膨胀试验(Alveograph)和大变形润滑条件下单轴压缩流变试验(LSF)评估了 14 种小麦面粉水合 50%(/面粉重量)后的面团扩展特性。在烘焙行业中,不同面粉之间的比较是基于气泡图(即面团内部压力的时间变化)中定义的几个参数(n ≥ 5)。在本研究中,凹凸图被转换成应力-应变曲线(σ = f(εb))。假设 (dot{varepsilon_b}) = 0.25 s-1 (14 种面粉的 R2 = 0.99 ± 0.01),然后根据该曲线,在 0 ≤ εb ≤ 1.5 之间拟合出面粉的延伸行为系数,该系数由稠度 k0 评估。流动指数(n = 0.36)和应变硬化指数(SHI = 1.73)保持不变。在 εb = 1 和 0.25.10-2 < (dot{varepsilon_b})< 2.5 s-1 条件下,对水化程度为 50%(R2 = 0.91)的小麦粉面团,通过比较由凹面图计算出的应力值和在 LSF 中测得的应力值,验证了该模型。因此,可以根据几种面团拉伸特性对面粉进行分类的Alveograph也提供了获得面团延伸行为模型的途径。 图解摘要确定Alveograph测试的面团延伸特性,并通过与LSF获得的结果进行比较来验证。
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引用次数: 0
Rheology and dissolution capacity of cellulose in novel [mTBNH][OAc] ionic liquid mixed with green co-solvents 纤维素在与绿色助溶剂混合的新型[mTBNH][OAc]离子液体中的流变性和溶解能力
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-01-18 DOI: 10.1007/s00397-024-01433-3
Elvira Tarasova, Nutan Savale, Peeter-Mihkel Ausmaa, Illia Krasnou, Andres Krumme

Dissolution of cellulose is crucial for its regeneration and chemical modification, such as homogeneous transesterification, for example. The cellulose dissolution in ionic liquid (IL) media is suggested as a prospective environmentally friendly alternative to conventional solvents. In this study, novel distillable ionic liquid 5-methyl-1,5,7-triaza-bicyclo-[4.3.0]non-6-enium acetate, [mTBNH][OAc] was used for cellulose dissolution. This IL has high dissolving power towards cellulose and durability for recycling. However, the disadvantage of ILs is their high viscosity, which limits the supreme cellulose concentration in IL solutions, and their high cost, hindering their commercialization. The addition of low-viscous, low-cost, and naturally derived co-solvents can reduce the overall viscosity and cost. In this study, rheology experiments were conducted to investigate the flow behavior of cellulose in [mTBNH][OAc] ionic liquid mixed with the green co-solvents such as γ-Valerolactone (GVL), dimethyl isosorbide (DMI), and N,N′-dimethylpropyleneurea (DMPU). A study of the rheology showed that the viscosity reduces at low doses of co-solvent (≤ 50 wt%) but causes the structuring of the cellulose solution and its gelation (or phase separation) at high doses (≥ 50 wt%). The rheological study also indicated that the flow activation energy of cellulose in IL/co-solvent systems is lower than that in pure IL and decays in the order of DMPU > DMI > GVL > DMSO.

Graphical abstract

摘要 纤维素的溶解对其再生和化学改性(如均相酯交换)至关重要。在离子液体(IL)介质中溶解纤维素被认为是一种替代传统溶剂的环保型方法。在这项研究中,新型可蒸馏离子液体 5-甲基-1,5,7-三氮杂双环-[4.3.0]非 6-烯醋酸酯 [mTBNH][OAc]被用于溶解纤维素。这种 IL 对纤维素有很强的溶解能力,而且经久耐用,可以循环使用。然而,IL 的缺点是粘度高,限制了 IL 溶液中纤维素的最高浓度,而且成本高,阻碍了其商业化。添加低粘度、低成本和天然衍生的助溶剂可以降低总体粘度和成本。本研究通过流变学实验研究了纤维素在[mTBNH][OAc]离子液体与γ-戊内酯(GVL)、二甲基异山梨醇(DMI)和N,N′-二甲基丙烯脲(DMPU)等绿色助溶剂混合后的流动行为。流变学研究表明,低剂量的助溶剂(≤ 50 wt%)会降低粘度,但高剂量的助溶剂(≥ 50 wt%)会导致纤维素溶液结构化和凝胶化(或相分离)。流变学研究还表明,纤维素在IL/共溶剂体系中的流动活化能低于纯IL中的流动活化能,并按照DMPU > DMI > GVL > DMSO的顺序衰减。 图表摘要
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引用次数: 0
Rheological behavior of SiO2 NP/CTAB/PPA wormlike micelles in alcohol/water mixture SiO2 NP/CTAB/PPA 虫状胶束在醇水混合物中的流变行为
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-01-17 DOI: 10.1007/s00397-024-01432-4
Huiying Han, Maen M. Husein, Giovanniantonio Natale

This study explores the effect of alcohol on the rheological behavior of SiO2 nanoparticle (NP) in cetyltrimethylammonium bromide (CTAB)/potassium hydrogen phthalate (PPA) wormlike micelles (WLMs). No previous literature explored the effect of chemical stresses on NP-mediated WLMs. The addition of 0.05 wt% NPs increased the zero-shear viscosity of 30 mM CTAB/20 mM PPA WLMs by 30%. A further increase in SiO2 NPs disrupted the micellar structure, resulting in reduced viscosity. The optimum SiO2 NP content increased from ~ 0.05 wt% to ~ 0.4 wt% as the CTAB and PPA concentrations increased from 30 mM CTAB/20 mM PPA to 90 mM CTAB/60 mM PPA. The effect of ethanol and 1-hexanol on WLMs composed of 0.05 wt% SiO2 NP/30 mM CTAB/20 mM PPA was assessed. The NPs enhanced the shear viscosity of ethanol/WLM systems. Notably, at ethanol concentrations of 0.14 wt%, 0.60 wt% and 1.40 wt%, the zero-shear viscosity increased by approximately 60%, 100%, and 25%, respectively. SiO2 NPs acted as junction points, facilitating the crosslinking among shorter micelles and improving micellar entanglement. Conversely, SiO2 NPs had little impact on 1-hexanol/WLM systems owing to the strong interaction between WLMs and 1-hexanol at the micellar interface.

本研究探讨了酒精对十六烷基三甲基溴化铵(CTAB)/邻苯二甲酸氢钾(PPA)虫状胶束(WLMs)中二氧化硅纳米粒子(NP)流变行为的影响。以前没有文献探讨过化学应力对 NP 介导的 WLMs 的影响。添加 0.05 wt% 的 NPs 可使 30 mM CTAB/20 mM PPA WLMs 的零剪切粘度增加 30%。SiO2 NPs 的进一步增加破坏了胶束结构,导致粘度降低。随着 CTAB 和 PPA 浓度从 30 mM CTAB/20 mM PPA 增加到 90 mM CTAB/60 mM PPA,最佳 SiO2 NP 含量从 ~ 0.05 wt% 增加到 ~ 0.4 wt%。评估了乙醇和 1-hexanol 对由 0.05 wt% SiO2 NP/30 mM CTAB/20 mM PPA 组成的 WLM 的影响。NPs 增强了乙醇/WLM 体系的剪切粘度。值得注意的是,当乙醇浓度为 0.14 wt%、0.60 wt% 和 1.40 wt% 时,零剪切粘度分别增加了约 60%、100% 和 25%。SiO2 NPs 可作为交界点,促进较短胶束之间的交联,改善胶束缠结。相反,由于 WLM 与 1-hexanol 在胶束界面上的强烈相互作用,SiO2 NPs 对 1-hexanol/WLM 系统的影响很小。
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引用次数: 0
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