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Entangled linear polymers in fast shear: evaluation of differential tube-based modeling including flow-induced disentanglement and chain tumbling 快速剪切中的缠结线性聚合物:基于微分管的建模评估,包括流动诱发的解缠和链翻滚
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-06-05 DOI: 10.1007/s00397-024-01450-2
Christina Pyromali, Hamid Taghipour, Laurence G. D. Hawke

Flow-induced disentanglement (FID or CCR-D) and chain tumbling are two molecular mechanisms typically observed in non-equilibrium molecular dynamics simulations of entangled polymer melts under fast shear. As regards quantitative performance, classical tube models exhibit limitations at fast rates presumably due to the negligence of the aforementioned mechanisms. CCR-D or tumbling inclusion is reported in some revised tube models. For example, in Desai–Larson’s (DL) work (J Rheol 58:255–279, 2014), which focuses on uniaxial elongation, FID is coupled to the alignment and stretch status of the chains. In Costanzo et al. (Macromolecules 49:3925–3935, 2016), tumbling is accounted for via incorporation of a semi-empirical tumbling function in the stretch equation. Nevertheless, CCR-D is neglected. Here, we include tumbling in the DL differential constitutive set and we assess its performance at shear and relaxation following shear. Model predictions are compared against data on various polystyrene melts as obtained by a cone-partitioned-plate fixture.

流动诱导解缠(FID 或 CCR-D)和链翻滚是快速剪切下缠结聚合物熔体的非平衡分子动力学模拟中通常观察到的两种分子机制。在定量性能方面,经典管模型在快速速率下表现出局限性,这可能是由于忽略了上述机制。据报道,在一些修正的管模型中存在 CCR-D 或翻滚包容。例如,Desai-Larson(DL)的研究(J Rheol 58:255-279,2014 年)侧重于单轴伸长,FID 与链的排列和拉伸状态相关联。在 Costanzo 等人(Macromolecules 49:3925-3935, 2016)的研究中,通过在拉伸方程中加入半经验翻滚函数,对翻滚进行了考虑。然而,CCR-D 却被忽略了。在此,我们将翻滚纳入了 DL 差分构成集,并评估了其在剪切和剪切后松弛时的性能。我们将模型预测与锥形分隔板夹具获得的各种聚苯乙烯熔体的数据进行了比较。
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引用次数: 0
A novel interpretation of pH-dependent microstructure and rheology evolution in silica suspension based on interparticle interactions 基于颗粒间相互作用的二氧化硅悬浮液中与 pH 值相关的微观结构和流变演变的新解释
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-06-05 DOI: 10.1007/s00397-024-01460-0
Hyo-Jeong Lee, Jun Dong Park

We suggest a new interpretation for pH-dependent temporal evolution in the microstructure and rheology of silica suspensions based on interparticle interactions, which differs from the conventional explanation including the catalytic effect of hydroxyl ions and charges. The temporal evolution of silica suspensions under various pH conditions was investigated through rheometry and diffusing wave spectroscopy (DWS) analysis. The transition from liquid to solid was observed to be the most rapid at pH 5 compared to other pH conditions (pH 3, 7, 9). This phenomenon could not be adequately explained by the conventional Derjaguin-Landau-Verwey-Overbeek (DLVO) theory that predicts the liquid-to-solid transition occurs more rapidly at the lower pH condition due to the lower surface charge. As an alternative, we employed an elaborated DLVO theory that additionally considers the hydration force, arising from the hydrophilic nature of the silica surface. The pH dependency was interpreted using the elaborated DLVO theory, which showed that the strong short-range nature of the hydration force significantly reduced the attraction range at pH 3, leading to the retardation and decline in structural and rheological development. The impact of pH and resulting alterations in interparticle interaction on the microstructure were further investigated using rheological scaling theory.

Graphical Abstract

我们基于颗粒间的相互作用,对二氧化硅悬浮液的微观结构和流变学随 pH 值的时间演变提出了一种新的解释,这种解释不同于包括羟基离子和电荷的催化作用在内的传统解释。通过流变仪和扩散波谱(DWS)分析,研究了二氧化硅悬浮液在不同 pH 值条件下的时间演变。与其他 pH 条件(pH 值为 3、7、9)相比,pH 值为 5 时从液态到固态的转变最为迅速。传统的 Derjaguin-Landau-Verwey-Overbeek (DLVO)理论无法充分解释这一现象,该理论预测由于表面电荷较低,液态到固态的转变在较低的 pH 值条件下发生得更快。作为替代方案,我们采用了详细的 DLVO 理论,该理论额外考虑了二氧化硅表面亲水性所产生的水合作用力。详细的 DLVO 理论对 pH 值的依赖性进行了解释,结果表明,水合作用力的强短程性质大大缩小了 pH 值为 3 时的吸引范围,导致结构和流变性发展的延缓和下降。利用流变缩放理论进一步研究了 pH 值及其导致的颗粒间相互作用的改变对微观结构的影响。
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引用次数: 0
Effect of fiber orientation on spinning dynamics for liquid crystalline polymer solutions using mesoscopic theory 利用介观理论研究纤维取向对液晶聚合物溶液纺丝动力学的影响
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-06-03 DOI: 10.1007/s00397-024-01456-w
Jihun Gil, Geunyeop Park, Heon Sang Lee, Hyun Wook Jung

Liquid crystalline polymer (LCP) solutions undergo uniaxial elongation in fiber spinning, yielding highly oriented fibril-structured fibers with enhanced orientation and mechanical properties. This study explores how initial fiber orientation and Frank elasticity influence the dynamics and stability of the isothermal spinning process for LCP solutions. The simplified Larson-Doi mesoscopic model is employed, capable of capturing elastic stress emerging from domain structure evolution. Two main factors, inlet orientation and the Ericksen number as a parameter representing Frank elasticity, significantly affect steady-state fiber orientation profiles and the onset of draw resonance instability, as determined through linear stability analysis. The sensitivity of spinline flow to a sinusoidal disturbance is assessed using the frequency response method. Changes in stability onset concerning these two main factors are reasonably correlated with the extensional behavior of the LCP solution in the spinline and the results of the frequency response.

Graphical Abstract

液晶聚合物(LCP)溶液在纤维纺丝过程中会发生单轴伸长,从而产生高度取向的纤维结构纤维,并增强其取向和机械性能。本研究探讨了初始纤维取向和弗兰克弹性如何影响 LCP 溶液等温纺丝过程的动力学和稳定性。研究采用了简化的 Larson-Doi 中观模型,该模型能够捕捉到畴结构演变过程中产生的弹性应力。通过线性稳定性分析确定,入口取向和代表弗兰克弹性的参数埃里克森数这两个主要因素会显著影响稳态纤维取向剖面和牵伸共振不稳定性的发生。使用频率响应法评估了纺丝流对正弦扰动的敏感性。关于这两个主要因素的稳定性起始变化与 LCP 解决方案在纺线中的延伸行为和频率响应结果有合理的相关性。
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引用次数: 0
Limits for safe viscosity measurement of non-colloidal suspensions in rotational rheometry—a numerical simulation-based approach 在旋转流变仪中安全测量非胶体悬浮液粘度的极限--基于数值模拟的方法
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-05-31 DOI: 10.1007/s00397-024-01458-8
Nezia de Rosso, Cezar O. R. Negrão

This work investigates transient non-colloidal suspension flows in cone-and-plate, plate-plate, and cylindrical geometries to assess particle motion’s impact on viscosity measurement. Mass and momentum conservation equations model the two-phase liquid–solid flow, with both phases treated as continuous in an Euler-Euler approach. Findings demonstrate rheometric flow induces particle motion, affecting suspension homogeneity and viscosity measurement over time. Both buoyancy and inertia effects drive particle motion, with buoyancy dominating at low shear rates and inertia at high shear rates. Particle volume fractions, shear rates, and liquid viscosity notably influence viscosity measurements. Measurements with concentric cylinders are the least affected by particle motion. Additionally, we propose a time limit and a critical Reynolds number in which particle motion does not affect the measurement of the suspension viscosity.

这项工作研究了锥-板、板-板和圆柱形几何结构中的瞬态非胶体悬浮流,以评估颗粒运动对粘度测量的影响。质量和动量守恒方程对两相液固流动进行建模,两相均以欧拉-欧拉方法连续处理。研究结果表明,流变流动会引起颗粒运动,从而影响悬浮液的均匀性和粘度测量。浮力和惯性效应都会推动颗粒运动,低剪切速率时浮力效应占主导地位,高剪切速率时惯性效应占主导地位。颗粒体积分数、剪切速率和液体粘度对粘度测量有显著影响。同心圆柱体的测量受颗粒运动的影响最小。此外,我们还提出了颗粒运动不影响悬浮液粘度测量的时间限制和临界雷诺数。
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引用次数: 0
Magnetic field-dependent rheological behavior of thermoresponsive poly(N-isopropylacrylamide) solutions 热致伸缩性聚(N-异丙基丙烯酰胺)溶液的磁场流变行为
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-05-30 DOI: 10.1007/s00397-024-01454-y
Christopher A. P. Neal, Abhishek M. Shetty, Jason D. Linn, Michelle C. Quan, Joseph D. Casas, Michelle A. Calabrese

Magnetic (B) fields are an intriguing route for manipulating soft materials. While most research on B field manipulation of diamagnetic polymers has focused on alignment of ordered structures or anisotropic domains, our recent work uncovered a previously unrecognized effect: B fields alter hydration and hydrogen bonding in thermoresponsive poly(N-isopropylacrylamide) (PNIPAM) solutions. Despite the well-known thermoreversible coil-to-globule transition and hydrogel formation upon heating, the impact of magnetic fields on these structural and rheological transitions has been largely unexplored. In this study, we thoroughly examined the temperature-dependent magnetorheology of PNIPAM solutions, varying B field strength, polymer content, and molecular weight. Linear magnetorheology reveals that increasing the B field intensity decreases the dynamic moduli of the resulting physical hydrogel, across polymer concentrations (5–20% wt) and molecular weights (30–108 kDa), by up to an order of magnitude. Conversely, the gelation onset temperature does not change substantially. This weakening effect is more pronounced at longer magnetization times and slower temperature ramp rates. Nonlinear magnetorheology following hydrogel formation reveals a two-step yielding process characteristic of attractive-driven glasses, suggesting that magnetization decreases both the stress and length scales associated with mesoglobule cage breaking. We propose that B fields impact the hydrogel rheology by altering the mesoglobule size and water content. This work uncovers essential understanding of how B fields alter hydrogel formation in PNIPAM solutions, broadening the scope of magnetic field manipulation of diamagnetic polymer solutions.

摘要磁(B)场是操纵软材料的一个有趣途径。虽然大多数有关 B 磁场操纵二磁聚合物的研究都集中在有序结构或各向异性域的排列上,但我们最近的研究发现了一种以前未曾认识到的效应:B 磁场会改变热致伸缩性聚(N-异丙基丙烯酰胺)(PNIPAM)溶液中的水合和氢键。尽管众所周知,加热时会发生从线圈到球体的热可逆转变以及水凝胶的形成,但磁场对这些结构和流变转变的影响在很大程度上还未被探索。在本研究中,我们通过改变 B 磁场强度、聚合物含量和分子量,深入研究了 PNIPAM 溶液随温度变化的磁流变学。线性磁流变学显示,在聚合物浓度(5-20% wt)和分子量(30-108 kDa)不同的情况下,增加 B 场强度会降低所产生的物理水凝胶的动态模量,降幅可达一个数量级。与此相反,凝胶化的起始温度并没有发生重大变化。在磁化时间较长、温度升高速度较慢的情况下,这种减弱效应更为明显。水凝胶形成后的非线性磁流变揭示了吸引力驱动玻璃所特有的两步屈服过程,表明磁化同时降低了与中球笼断裂相关的应力和长度尺度。我们认为,B 场通过改变介胶体的大小和含水量来影响水凝胶的流变性。这项工作揭示了对 B 场如何改变 PNIPAM 溶液中水凝胶形成的基本理解,拓宽了磁场操纵二磁性聚合物溶液的范围。
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引用次数: 0
Stress relaxation of critically fractionated entangled polybutadiene ring melts 临界分馏纠缠聚丁二烯环状熔体的应力松弛
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-05-28 DOI: 10.1007/s00397-024-01457-9
Samruddhi Kamble, Daniele Parisi, Youncheol Jeong, Taihyun Chang, Dimitris Vlassopoulos

We present linear viscoelastic data with anionically synthesized and critically fractionated polybutadiene (rich in vinyl content) rings having about Z = 22 entanglements. These rings are experimentally as pure as currently possible. They exhibit a power-law stress relaxation G(t) that is well-described by the state-of-the-art fractal loopy globule (FLG) model (power-law exponent of − 3/7). Previously reported data with polystyrene rings, prepared by anionic synthesis in dilute solution and purified by liquid chromatography at the critical condition, having Z = 14 entanglements, showed a power-law G(t) as well. Recent developments with different synthetic methods yielding not so well-characterized rings with a very large number of entanglements (up to 300), suggest that a rubbery plateau emerges in the linear viscoelastic response for Z > 15. Our work confirms the power-law G(t) with the FLG exponent with another chemistry and contributes to the current discussion about different regimes of rheological behavior, indicating that a possible deviation from the power-law FLG type of behavior toward rubbery plateau may occur for Z > 22. To fully capture the experimental G(t) data, the FLG model is complemented by two additional relaxation modes which are attributed to ring-ring (RR) and ring-linear (RL) threading, in accordance with recent reports in the literature. The faster RR mode likely reflects a new mechanism of stress relaxation not described by FLG, and the slower RL mode is attributed to synthetic and material handling imperfections (for example, due to thermal treatment). However, it does not change the punchline of the work: no rubbery plateau for entangled rings with up to 22 entanglements.

Graphical Abstract

Stress relaxation modulus for entangled ring polybutadiene (exhibiting power-law decay) and its linear precursor (exhibiting rubbery plateau), along with fits to the data: tube model for linear chains, and fractal loopy globule (FLG) with slow modes (RR and Tsalikis et al.) for the ring.

我们展示了阴离子合成并经过严格分馏的聚丁二烯(富含乙烯基)环的线性粘弹性数据,这些环具有大约 Z = 22 的缠结。这些环在实验中尽可能纯净。它们表现出幂律应力弛豫 G(t),最新的分形循环球(FLG)模型对其进行了很好的描述(幂律指数为 -3/7)。此前报道的数据显示,在稀溶液中通过阴离子合成制备并在临界状态下通过液相色谱法纯化的聚苯乙烯环(具有 Z = 14 个缠结)也显示出幂律 G(t)。最近的研究结果表明,当 Z = 15 时,线性粘弹性响应中会出现一个橡胶高原。我们的研究证实了幂律 G(t)与 FLG 指数与另一种化学性质的关系,并有助于当前关于流变行为不同状态的讨论,表明在 Z > 22 时,可能会出现偏离幂律 FLG 类型的橡胶高原行为。为了完全捕捉实验中的 G(t)数据,FLG 模型得到了两种额外松弛模式的补充,根据最近的文献报道,这两种松弛模式分别归因于环-环(RR)和环-线性(RL)穿线。较快的 RR 模式可能反映了 FLG 所未描述的一种新的应力松弛机制,而较慢的 RL 模式则归因于合成和材料处理缺陷(例如热处理)。图形摘要缠结环状聚丁二烯(表现出幂律衰减)及其线性前体(表现出橡胶高原)的应力松弛模量,以及对数据的拟合:线性链的管状模型,以及环状的分形循环球(FLG)和慢速模式(RR 和 Tsalikis 等人)。
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引用次数: 0
Elongational rheology of 2, 3 and 4 polymer stars connected by linear backbone chains 由线性骨架链连接的 2、3 和 4 聚合物星的拉伸流变性能
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-05-27 DOI: 10.1007/s00397-024-01455-x
Valerian Hirschberg, Max G. Schußmann, Marie-Christin Röpert, Anika Goecke, Manfred Wilhelm, Manfred H. Wagner

We consider the elongational rheology of model polystyrene topologies with 2, 3 and 4 stars, which are connected by one (2-star or “Pom-Pom”), two (3-star) and three (4-star) linear backbone chains. The number of arms of each star varies from qa = 3 to 24, the molecular weight of the arms from Mw,a = 25 kg/mol to 300 kg/mol, and the backbone chains from Mw,b = 100 kg/mol to 382 kg/mol. If the length of the arm is shorter than the length of the backbone, i.e. Mw,a < Mw,b, and despite the vastly different topologies considered, the elongational stress growth coefficient can be modeled by the Hierarchical Multi-mode Molecular Stress Function (HMMSF) model, based exclusively on the linear-viscoelastic characterization and a single nonlinear parameter, the dilution modulus. If the length of the arms of the stars is similar or longer than the length of the backbone chain (Mw,a ≥ Mw,b) connecting two stars, the impact of the backbone chain on the rheology vanishes and the elongational stress growth coefficient is dominated by the star topology showing similar features of the elongational stress growth coefficient as those of linear polymers.

Graphical Abstract

我们考虑了具有 2、3 和 4 个星形的聚苯乙烯拓扑模型的拉伸流变性,这些星形由一个(2-星形或 "Pom-Pom")、两个(3-星形)和三个(4-星形)线性骨架链连接。每颗星的星臂数量从 qa = 3 到 24 不等,星臂的分子量从 Mw,a = 25 千克/摩尔到 300 千克/摩尔不等,骨架链的分子量从 Mw,b = 100 千克/摩尔到 382 千克/摩尔不等。如果臂的长度短于骨架链的长度,即 Mw,a < Mw,b,尽管考虑的拓扑结构大不相同,但伸长应力增长系数可通过层次多模式分子应力函数(HMMSF)模型来模拟,该模型完全基于线性-粘弹性特征和单一非线性参数(稀释模量)。如果星形臂的长度与连接两个星形臂的主链长度(Mw,a ≥ Mw,b)相近或更长,则主链对流变学的影响消失,伸长应力增长系数由星形拓扑结构主导,显示出与线性聚合物类似的伸长应力增长系数特征。
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引用次数: 0
Predicting the gravity-driven flow of power law fluids in a syringe: a rheological map for the IDDSI classification 预测注射器中幂律流体的重力驱动流动:IDDSI 分类流变图
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-05-22 DOI: 10.1007/s00397-024-01449-9
Rémi Lecanu, Guy Della Valle, Cassandre Leverrier, Marco Ramaioli

Food rheology is key to manage the swallowing safety of people affected by swallowing disorders (dysphagia). Simple approaches to assess the flow properties of texture-modified drinks are widely used, but relatively poorly understood. This study focuses on the International Dysphagia Diet Standardisation Initiative (IDDSI) flow test, adopted by caregivers worldwide. This test considers the gravity-driven flow in a vertical syringe. Newtonian liquids and non-Newtonian fluids obtained using a commercial starch-based thickener were considered in this study. An accurate theoretical description of the flow is proposed for Newtonian and power-law fluids considering the effect of fluid properties and of the syringe geometry. A rheological map is proposed, based on the results of several thousand simulations, to capture quantitatively the effect of rheological properties and density on the IDDSI classification, highlighting the important effect of the fluid density which is usually ignored. The sensitivity of the IDDSI results with respect to the syringe outlet diameter is discussed, as well as the different average shear rates at which different IDDSI levels are tested. The rheological map also shows quantitatively that different combinations of the fluid rheological properties and density can result in the same IDDSI classification, suggesting interesting directions for future clinical research.

食品流变学是控制吞咽障碍(吞咽困难)患者吞咽安全的关键。评估质地改良饮料流动特性的简单方法被广泛使用,但人们对其了解相对较少。本研究侧重于国际吞咽困难饮食标准化倡议(IDSSI)的流动性测试,该测试已被全球护理人员所采用。该测试考虑的是垂直注射器中的重力驱动流动。本研究考虑了牛顿液体和使用商用淀粉增稠剂获得的非牛顿液体。考虑到流体特性和注射器几何形状的影响,提出了牛顿流体和幂律流体流动的精确理论描述。在数千次模拟结果的基础上,提出了流变图,以定量捕捉流变特性和密度对 IDDSI 分类的影响,突出了通常被忽视的流体密度的重要影响。讨论了 IDDSI 结果对注射器出口直径的敏感性,以及测试不同 IDDSI 级别时的不同平均剪切速率。流变图还定量显示,流体流变特性和密度的不同组合可导致相同的 IDDSI 分级,这为未来的临床研究提供了有趣的方向。
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引用次数: 0
Experiments and numerical modelling of secondary flows of blood and shear-thinning blood analogue fluids in rotating domains 旋转域中血液和剪切稀化血液模拟流体二次流动的实验和数值建模
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-05-10 DOI: 10.1007/s00397-024-01447-x
Nathaniel S. Kelly, Harinderjit S. Gill, Andrew N. Cookson, Katharine H. Fraser

The transition from concentric primary flow to non-tangential secondary flow of blood was investigated using experimental steady shear rheometry and numerical modelling. The aims were to: assess the difference in secondary flow in a Newtonian versus shear-thinning blood analogue; and measure the secondary flow in the blood. Both experiments and numerical modelling showed that the transition from primary to secondary flow was the same in a Newtonian fluid and a shear-thinning blood analogue. Experiments showed whole blood transitioned to secondary flow at lower modified Reynolds numbers than the Newtonian fluid; and transition was haematocrit dependent with higher RBC concentrations transitioning at lower modified Reynolds numbers. These results indicate that modelling blood as a purely shear-thinning fluid does not predict the correct secondary flow fields in whole blood; non-Newtonian effects beyond shear-thinning behaviour are influential, and incorporating effects such as multiphase contributions and viscoelasticity, yield stress and thixotropy is necessary.

利用实验稳定剪切流变仪和数值模型研究了血液从同心一次流向非切线二次流的转变。研究的目的是:评估牛顿血液与剪切稀化血液模拟中二次流的差异;测量血液中的二次流。实验和数值建模都表明,在牛顿流体和剪切稀化血液类似物中,从一次流到二次流的过渡是相同的。实验表明,与牛顿流体相比,全血在修正雷诺数较低时过渡到二次流;过渡与血细胞比容有关,红细胞浓度越高,修正雷诺数越低。这些结果表明,将血液模拟为纯粹的剪切稀化流体并不能预测全血中正确的二次流场;剪切稀化行为之外的非牛顿效应也有影响,因此有必要纳入多相贡献和粘弹性、屈服应力和触变性等效应。
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引用次数: 0
Characterization and identification of gas invasion patterns in magnesium lithium phyllosilicate suspensions 植硅酸镁锂悬浮液中气体侵入模式的表征和识别
IF 2.3 3区 工程技术 Q2 MECHANICS Pub Date : 2024-04-30 DOI: 10.1007/s00397-024-01453-z
Zhao Jin, Yixuan Hou, Xinzhe Que, Yongchao Zhou, Yiping Zhang

In quasi-two-dimensional conditions, different invasion patterns can be observed when a fluid displaces another fluid with a higher viscosity. The transition from interfacial instability to fracture during gas invasion remained poorly understood, and classification criteria for different invasion patterns demanded further improvement. In this study, single-point compressed gas injection experiments were conducted in magnesium lithium phyllosilicate (MLPS) suspensions in a rectangular Hele-Shaw cell. Interestingly, with the increase of the injection pressure and the decrease of the concentration of MLPS suspension, the gas invasion pattern underwent a transition from viscous elastic fracture, elastic fracture, elastic viscous fingering to viscous fingering, in which viscous elastic fracture was observed for the first times. We detailly discuss the characteristics and occurrence conditions of each invasion pattern. Furthermore, by analyzing the velocity field of each invasion pattern, it is found that the relationship between the velocity direction around the gas and the gas growth direction varies with different invasion patterns. A simple and effective quantitative indicator is constructed to distinguish the different invasion patterns. Following the identification of invasion patterns, a further investigation was conducted into the relationship between invasion patterns and experimental conditions. By utilizing the relationships among injection conditions and material rheological properties, two dimensionless numbers, Bingham number and Weissenberg number, are conducted, which have an impact on the various invasion patterns and invasion process. A unified phase diagram based on the Bingham number and Weissenberg number was also proposed to incorporate the possible gas invasion patterns in the MLPS suspension.

在准二维条件下,当一种流体置换另一种粘度较高的流体时,可以观察到不同的侵入模式。人们对气体侵入过程中从界面不稳定性到断裂的转变仍然知之甚少,不同侵入模式的分类标准也有待进一步完善。本研究在矩形 Hele-Shaw 单元中的镁锂硅酸盐(MLPS)悬浮液中进行了单点压缩气体注入实验。有趣的是,随着注入压力的增加和 MLPS 悬浮液浓度的降低,气体侵入模式经历了从粘弹性断裂、弹性断裂、弹性粘指状断裂到粘指状断裂的转变,其中首次观察到粘弹性断裂。我们详细讨论了每种侵入模式的特征和发生条件。此外,通过分析每种侵入模式的速度场,发现气体周围的速度方向与气体生长方向之间的关系随不同侵入模式而变化。为区分不同的入侵模式,构建了一个简单有效的定量指标。在确定了入侵模式之后,进一步研究了入侵模式与实验条件之间的关系。通过利用注入条件和材料流变特性之间的关系,得出了两个无量纲数--宾厄姆数和魏森堡数,它们对各种入侵模式和入侵过程都有影响。还提出了基于宾汉数和魏森堡数的统一相图,以纳入 MLPS 悬浮液中可能的气体侵入模式。
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引用次数: 0
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Rheologica Acta
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