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Investigation of factors affecting the thermal stability of silica-based shear thickening fluids 硅基剪切增稠流体热稳定性影响因素研究
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-06-25 DOI: 10.1007/s13367-024-00096-z
Wenjian Wang, Shuai He, Ziwen Dong, Wei Huang, Xuke Li, Xun Chen, Peng Chen

Recent experimental observation in thermal-induced gelation of silica-based shear thickening fluids (STFs) has necessitated the efforts to address the thermal instability of the STFs. The shear thickening behavior of hydrophilic fumed silica/PEG disappeared after thermal treatment. Hydrophobic surface is demonstrated to enhance thermal stability of the fumed silica/PEG system under the same thermal treatment. Dynamic temperature sweep experiments reveal a temperature-induced sol–gel transition of the hydrophilic silica/PEG. Meanwhile, hydrophobic silica/PEG does not undergo such gelation and still displays viscosity thickening after thermal treatment. This gelation process is found to be concentration-dependent and irreversible, with enhanced gelation at higher specific surface areas of hydrophilic silica particles. The small-angle X-ray scattering (SAXS) studies suggest that this sol–gel transition is likely attributed to the reduction of solvation layer which could be highly influenced by particle surface hydrophilicity. Comprehensive experiments, including Soxhlet extraction and rheology, confirm that the resulting stable three-dimensional structure is not formed by chemical crosslinks but behaves as a physical network. It is demonstrated how tailoring particle–medium interactions through controlling particle surface characteristics can be used to improve thermal stability of silica-based STFs.

Graphical abstract

最近对硅基剪切增稠流体(STFs)热诱导凝胶化的实验观察表明,有必要努力解决 STFs 的热不稳定性问题。热处理后,亲水性气相二氧化硅/PEG 的剪切增稠行为消失了。在相同的热处理条件下,疏水表面增强了气相二氧化硅/PEG 系统的热稳定性。动态温度扫描实验揭示了亲水性二氧化硅/PEG 在温度诱导下的溶胶-凝胶转变。与此同时,疏水性二氧化硅/PEG 不会发生这种凝胶化,在热处理后仍会出现粘度增稠现象。研究发现,这种凝胶化过程与浓度有关且不可逆,亲水性二氧化硅颗粒的比表面积越大,凝胶化程度越高。小角 X 射线散射(SAXS)研究表明,这种溶胶-凝胶转变可能归因于溶胶层的减少,而溶胶层的减少在很大程度上受到颗粒表面亲水性的影响。索氏提取和流变学等综合实验证实,由此产生的稳定三维结构并非由化学交联形成,而是表现为一种物理网络。这说明了如何通过控制颗粒表面特性来调整颗粒与介质之间的相互作用,从而提高硅基 STF 的热稳定性。
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引用次数: 0
Enhanced thermal, mechanical, and optical properties of cellulose nanocrystal embedded cyclic olefin copolymer composite film 增强纤维素纳米晶嵌入环烯烃共聚物复合薄膜的热性能、机械性能和光学性能
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-06-17 DOI: 10.1007/s13367-024-00095-0
Ha Jeong Kang, Naeun Yang, Young Seok Song

In the current study, cellulose nanocrystal (CNC) reinforced cyclic olefin copolymer (COC) composite film was fabricated via spin-coating. For the application to the transparent and flexible substrate, the physical characteristics of the composite film were investigated, such as transparency, coefficient of thermal expansion (CTE), thermal properties and scratch resistance. COC was used as a matrix due to its high optical transparency, and CNC was utilized as a filler to lower CTE and enhance the thermal and mechanical properties. As the CNC loading increased, the tensile strength and elastic modulus increased significantly. In addition, the CNC/COC film exhibited a high transparency of 85%.

Graphical abstract

本研究通过旋涂法制备了纤维素纳米晶(CNC)增强环烯烃共聚物(COC)复合膜。为将其应用于透明柔性基底,研究了复合膜的物理特性,如透明度、热膨胀系数(CTE)、热性能和抗划伤性。COC 具有较高的光学透明度,因此被用作基体,而 CNC 则被用作填料,以降低 CTE 并提高热性能和机械性能。随着 CNC 添加量的增加,拉伸强度和弹性模量显著提高。此外,CNC/COC 薄膜的透明度高达 85%。
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引用次数: 0
Fabrication of functional hybrid carbon fiber-reinforced plastics with imparted surface concentrated electrical conductivity via multi-drop filling 通过多滴填充制造具有表面集中导电性的功能性混合碳纤维增强塑料
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-06-04 DOI: 10.1007/s13367-024-00094-1
Seung In Kang, Min Gyoung Kim, Dong Gi Seong

Carbon fiber-reinforced plastics (CFRPs) have attracted attention as lightweight materials with exceptional properties, making them suitable for applications in industries where enhanced fuel efficiency and vibration-damping effects are required. However, as CFRP applications expand beyond the mobility sector, the demand for additional functionalities, particularly electrical conductivity, has emerged. In this study, we employed a multi-drop filling process (MDF) to produce hybrid CFRP with imparted electrical conductivity. This approach enables precise resin drop and simultaneous curing, addressing the challenges associated with conventional CFRP production processes. Based on filtering effects during MDF, additives, such as carbon nanotubes (CNTs) and graphene, could concentrate on the surface while resin impregnated the fiber reinforcement, resulting in CFRP with surface-concentrated electrical conductivity (ScEC). We dispersed CNTs and graphene in the resin to induce a bridge effect between the additives. Resin dispersion was achieved using surfactants and solvents, preserving the enhanced electrical conductivity and mechanical properties of the CFRP. The structure, electrical conductivity, and mechanical properties of the fabricated CFRP were evaluated. The results show that the hybrid CFRPs possess the intended structure and exhibit ScEC. This study paves the way for the fabrication of CFRPs with different functionalities, thereby promoting their applications in various industries.

Graphical abstract

碳纤维增强塑料(CFRP)作为具有优异性能的轻质材料备受关注,适合应用于需要提高燃油效率和减震效果的行业。然而,随着 CFRP 的应用扩展到移动领域以外,对其附加功能(尤其是导电性)的需求也随之出现。在这项研究中,我们采用了多滴填充工艺(MDF)来生产具有导电性的混合 CFRP。这种方法可实现精确的树脂滴落和同步固化,解决了传统 CFRP 生产工艺所面临的挑战。基于 MDF 过程中的过滤效应,碳纳米管(CNT)和石墨烯等添加剂可在树脂浸渍纤维增强体的同时集中在表面,从而产生具有表面集中导电性(ScEC)的 CFRP。我们将 CNT 和石墨烯分散在树脂中,以诱导添加剂之间的桥接效应。我们使用表面活性剂和溶剂实现了树脂分散,从而保持了 CFRP 的增强导电性和机械性能。对所制造的 CFRP 的结构、导电性和机械性能进行了评估。结果表明,混合 CFRP 具有预期的结构,并表现出 ScEC 性能。这项研究为制造具有不同功能的 CFRP 铺平了道路,从而促进了它们在各行各业的应用。
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引用次数: 0
Reptation theory-similar deep learning model for polymer characterization from rheological measurement 根据流变测量建立用于聚合物表征的重演理论--类似深度学习模型
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-04-10 DOI: 10.1007/s13367-024-00091-4
Javad Rahmannezhad, Heon Sang Lee

The use of machine learning to predict rheological properties of polymers has great potential to facilitate the characterization of novel materials. Here, we have suggested the analogy between the double reptation (DR) and the deep neural network model. The double reptation model itself can be the special case of the deep learning method; linear activation function, and identical sets of weights for the two hidden layers are the characteristics of the double reptation model. The identical sets of weights in the double reptation model are related with the molecular weight distribution (MWD). We first generated ground truth data based on double reptation model. Then, we analyzed the dataset with reptation-guided deep neural network (RGDNN). We showed that the RGDNN model is available to determine entanglement molecular weight (plateau modulus), and monomeric friction factors from the simulated experimental rheological data (prepared using DR model) without any additional information. Overall, a noteworthy conceptual improvement in the determination of major factors that determine the rheological behavior of ultrahigh molecular weight polyethylene (UHMWPE) gels has been achieved.

利用机器学习预测聚合物的流变特性在促进新型材料的表征方面具有巨大潜力。在此,我们建议将双爬行(DR)与深度神经网络模型进行类比。双爬行模型本身可以作为深度学习方法的特例;线性激活函数和两个隐藏层的相同权重集是双爬行模型的特征。双隐层模型中相同的权重集与分子量分布(MWD)有关。我们首先根据双爬行模型生成了地面实况数据。然后,我们使用爬行引导的深度神经网络(RGDNN)对数据集进行了分析。结果表明,RGDNN 模型可以根据模拟实验流变数据(使用 DR 模型制备)确定缠结分子量(高原模量)和单体摩擦因数,而无需任何附加信息。总之,在确定决定超高分子量聚乙烯(UHMWPE)凝胶流变行为的主要因素方面取得了显著的概念改进。
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引用次数: 0
Deformation capacity of fresh cement pastes 新拌水泥浆的变形能力
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-04-09 DOI: 10.1007/s13367-024-00090-5
Y. El Bitouri

The deformation capacity conditions several processes in cement-based materials, including workability and structural build-up. However, the origins of this deformation capacity present some ambiguities. This paper aims to contribute to improving the comprehension of the deformation capacity of fresh cement pastes. For this, the effect of water-to-cement ratio (w/c) and superplasticizer (SP) dosage on the viscoelastic properties of cement paste is examined using oscillatory rheology and yield stress measurements. It appears that water to cement ratio affects slightly the critical strain at the end of the linear viscoelastic domain (LVED) and strongly the storage modulus. The addition of superplasticizer seems to have a strong effect on the critical strain. In addition, it was shown that the critical strain at the end of the LVED is associated with strong physical forces (colloidal forces enhanced by early hydrates formation), while the transition strain at the flow onset is due to large structural reorganizations.

变形能力决定了水泥基材料的几个过程,包括可加工性和结构的形成。然而,这种变形能力的来源并不明确。本文旨在帮助人们更好地理解新拌水泥浆的变形能力。为此,本文使用振荡流变学和屈服应力测量方法研究了水灰比(w/c)和超塑化剂(SP)用量对水泥浆粘弹性能的影响。结果表明,水灰比对线性粘弹性域(LVED)末端的临界应变影响较小,对储存模量影响较大。添加超塑化剂似乎对临界应变有很大影响。此外,研究还表明,线性粘弹性域末端的临界应变与强大的物理力(早期水合物形成所增强的胶体力)有关,而流动开始时的过渡应变则是由于巨大的结构重组所致。
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引用次数: 0
All-biomass-based strong nanocomposite fibers of agar and cellulose nanocrystals and their dye removal applications 基于全生物质的琼脂和纤维素纳米晶体强纳米复合纤维及其染料去除应用
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-03-27 DOI: 10.1007/s13367-024-00089-y
Youngeun Lee, Hyo Jeong Kim, Min Woo Kim, Jin Miyawaki, Han Gi Chae, Youngho Eom

Fiber-based commodities represent a substantial fraction of plastic waste, leading to environmental harm. Discarded sanitary masks and fishing equipment undergo degradation, generating microfiber plastics, thereby presenting a notable hazard to both human health and the ecosystem. In this study, mechanically strong and environmentally friendly nanocomposite fibers were prepared by dry-jet wet spinning. The all-biomass-based fibers comprised agar and cellulose nanocrystals (CNC) as the matrix and nanofiller, respectively, and were highly miscible in deionized water as a cosolvent. Based on rheological characterization, the optimal spinning concentration and temperature were set to 13% (w/v) and 95 °C, respectively. The dry-jet wet-spun agar-based fibers exhibited remarkable mechanical performance compared with previously reported agar-based materials. In particular, the 1 wt% CNC (with respect to the agar amount) simultaneously improved the Young’s modulus, strength, and toughness by 8.3, 4.8, and 16.4% (2.6 GPa, 93.5 MPa, and 7.8 MJ m−3), respectively, compared to those of the control agar fibers (2.4 GPa, 89.2 MPa, and 6.7 MJ m−3), overcoming the trade-off of stiffness-toughness for conventional nanocomposite systems. In addition, the agar/CNC nanocomposite fibers rapidly adsorbed Methylene blue within 90 min, which is significantly faster than that of the film-type agar adsorbent. Therefore, all-biomass-based agar/CNC fibers are a promising remedy for alleviating water pollution.

纤维类商品在塑料废物中占很大比例,对环境造成危害。废弃的卫生口罩和捕鱼设备在降解过程中会产生微纤维塑料,从而对人类健康和生态系统造成显著危害。本研究采用干喷湿纺法制备了机械强度高且环保的纳米复合纤维。这种全生物质纤维由琼脂和纤维素纳米晶体(CNC)分别作为基质和纳米填料,并以去离子水作为共溶剂,具有很高的混溶性。根据流变特性,最佳纺丝浓度和温度分别设定为 13% (w/v) 和 95 °C。与之前报道的琼脂基材料相比,干喷湿纺琼脂基纤维具有显著的机械性能。特别是,与对照琼脂纤维(2.4 GPa、89.2 MPa 和 6.7 MJ m-3)相比,1 wt% CNC(相对于琼脂量)同时将杨氏模量、强度和韧性分别提高了 8.3%、4.8% 和 16.4%(2.6 GPa、93.5 MPa 和 7.8 MJ m-3),克服了传统纳米复合材料系统在刚度-韧性之间的权衡。此外,琼脂/CNC 纳米复合纤维能在 90 分钟内迅速吸附亚甲基蓝,明显快于薄膜型琼脂吸附剂。因此,基于全生物质的琼脂/氯化萘纤维是缓解水污染的一剂良药。
{"title":"All-biomass-based strong nanocomposite fibers of agar and cellulose nanocrystals and their dye removal applications","authors":"Youngeun Lee,&nbsp;Hyo Jeong Kim,&nbsp;Min Woo Kim,&nbsp;Jin Miyawaki,&nbsp;Han Gi Chae,&nbsp;Youngho Eom","doi":"10.1007/s13367-024-00089-y","DOIUrl":"10.1007/s13367-024-00089-y","url":null,"abstract":"<div><p>Fiber-based commodities represent a substantial fraction of plastic waste, leading to environmental harm. Discarded sanitary masks and fishing equipment undergo degradation, generating microfiber plastics, thereby presenting a notable hazard to both human health and the ecosystem. In this study, mechanically strong and environmentally friendly nanocomposite fibers were prepared by dry-jet wet spinning. The all-biomass-based fibers comprised agar and cellulose nanocrystals (CNC) as the matrix and nanofiller, respectively, and were highly miscible in deionized water as a cosolvent. Based on rheological characterization, the optimal spinning concentration and temperature were set to 13% (w/v) and 95 °C, respectively. The dry-jet wet-spun agar-based fibers exhibited remarkable mechanical performance compared with previously reported agar-based materials. In particular, the 1 wt% CNC (with respect to the agar amount) simultaneously improved the Young’s modulus, strength, and toughness by 8.3, 4.8, and 16.4% (2.6 GPa, 93.5 MPa, and 7.8 MJ m<sup>−3</sup>), respectively, compared to those of the control agar fibers (2.4 GPa, 89.2 MPa, and 6.7 MJ m<sup>−3</sup>), overcoming the trade-off of stiffness-toughness for conventional nanocomposite systems. In addition, the agar/CNC nanocomposite fibers rapidly adsorbed Methylene blue within 90 min, which is significantly faster than that of the film-type agar adsorbent. Therefore, all-biomass-based agar/CNC fibers are a promising remedy for alleviating water pollution.</p></div>","PeriodicalId":683,"journal":{"name":"Korea-Australia Rheology Journal","volume":"36 2","pages":"109 - 118"},"PeriodicalIF":2.2,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140315977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Simulation of drop deformation and breakup in simple shear flow 模拟简单剪切流中液滴的变形和破裂
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-03-09 DOI: 10.1007/s13367-023-00085-8
Saeed Derakhshan, Ata Allah Kamyabi, Ali Mohebbi

The behavior of drops in the emulsion is significant in transport phenomena and the oil and the petrochemical industry. In this study, the behavior of drops that are close to each other was investigated. These drops were studied at two viscosity ratios (0.5 and 0.9, which are the viscosity ratio of drops to fluid) and six capillary numbers (0.05, 0.11, 0.17, 0.42, 0.28, and 0.36). The results demonstrate the effect of drops on each other at a range of volume fractions. Also, at capillary numbers of 0.42, 0.82, and 0.36, there were volume fractions at which drops stuck to each other and broke after combining. In contrast, the single drop at these new capillary numbers after merging was not broken. At the capillary number of 0.84, and volume fraction of 0.001495, the drops did not stick to each other, but they were broken under the influence of each other. For each capillary number, a specified volume fraction was achieved, at which the drops behave as a single drop. Therefore, in each capillary number, a volume fraction can be found so that in volume fractions less than that, drops behave individually and do not interact with each other.

乳状液中液滴的行为对运输现象以及石油和石化工业具有重要意义。在这项研究中,研究了相互靠近的液滴的行为。在两种粘度比(0.5 和 0.9,即液滴与流体的粘度比)和六种毛细管数(0.05、0.11、0.17、0.42、0.28 和 0.36)条件下对这些液滴进行了研究。结果表明了不同体积分数下液滴之间的相互影响。此外,在毛细管数为 0.42、0.82 和 0.36 时,有些体积分数下的液滴会相互粘连,并在结合后破裂。相反,在这些新的毛细管数下,合并后的单滴没有破裂。在毛细管数为 0.84、体积分数为 0.001495 时,液滴没有相互粘连,但在相互影响下破裂。对于每个毛细管数,都达到了指定的体积分数,此时液滴表现为单个液滴。因此,在每个毛细管数中,都可以找到一个体积分数,这样在小于该体积分数时,液滴的行为是单独的,不会相互影响。
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引用次数: 0
Rheological study on lower critical solution temperature behavior of organo-soluble cyano-substituted p-aramid in isotropic phase 各向同性相中有机可溶氰基取代对芳纶低临界溶液温度行为的流变学研究
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-03-08 DOI: 10.1007/s13367-024-00088-z
Hyo Jeong Kim, Yeamsuksawat Thanakorn, Dae Eon Jung, Youngho Eom

Poly(2-cyano-p-phenylene terephthalamide) (CY-PPTA) has garnered significant interest as a promising precursor for super p-aramid fibers because of its organosolubility in N,N-dimethyl acetamide/lithium chloride (DMAc/LiCl) while conserving the superior properties of the resultant fibers. However, CY-PPTA has been reported to exhibit abnormal phase behavior owing to the strong dipole–dipole interactions induced by the cyano groups. Herein, we rheologically study the isotropic phases of CY-PPTA/DMAc solutions with respect to the concentration and temperature and compare them with those of CY-PPTA/sulfuric acid (H2SO4) solutions. In the isotropic region, the CY-PPTA solutions yield a higher power-law exponent of the dynamic viscosity (η') versus concentration of 6.0 (ηʹ ~ c6.0) in the DMAc system than that in H2SO4 (ηʹ ~ c3.2). Moreover, the CY-PPTA/DMAc solutions exhibit a lower critical solution temperature (LCST) behavior with increasing temperature, in contrast with the upper critical solution temperature in H2SO4. Consequently, the viscosity and exponent of the CY-PPTA/DMAc solutions increase at elevated temperatures. As shown by the Cole–Cole plot, the heterogeneity in the DMAc system becomes worse. The LCST of the CY-PPTA solution is ascribed to the intermolecular interactions between the highly polar cyano groups, which are negligible in H2SO4.

聚(2-氰基对苯二甲酰对苯二胺)(CY-PPTA)因其在 N,N-二甲基乙酰胺/氯化锂(DMAc/LiCl)中的有机溶解性而备受关注,是一种很有前途的超级对位芳纶纤维前体,同时还能保持最终纤维的优异性能。然而,有报道称 CY-PPTA 由于氰基引起的强烈偶极-偶极相互作用而表现出异常的相行为。在此,我们对 CY-PPTA/DMAc 溶液随浓度和温度变化的各向同性相进行了流变学研究,并与 CY-PPTA/ 硫酸 (H2SO4) 溶液的各向同性相进行了比较。在各向同性区域,CY-PPTA 溶液在 DMAc 体系中产生的动态粘度(η')相对于浓度 6.0 的幂律指数(ηʹ ~ c6.0)高于 H2SO4 溶液(ηʹ ~ c3.2)。此外,随着温度的升高,CY-PPTA/DMAc 溶液表现出较低的临界溶液温度 (LCST),这与 H2SO4 中较高的临界溶液温度形成鲜明对比。因此,CY-PPTA/DMAc 溶液的粘度和指数在温度升高时会增加。如 Cole-Cole 图所示,DMAc 体系中的异质性变差。CY-PPTA 溶液的 LCST 可归因于高极性氰基之间的分子间相互作用,而这种作用在 H2SO4 中可以忽略不计。
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引用次数: 0
A low-Reynolds-number k–ε model for polymer drag-reduction prediction in turbulent pipe flow 用于预测湍流管道流动中聚合物阻力降低情况的低雷诺数 k-ε 模型
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-02-17 DOI: 10.1007/s13367-024-00087-0
Yang Chen, Meiyu Zhang, A. R. Valeev, Changjun Li, A. M. Nechval, Peng Yang

Pipeline transport at high Reynolds number can result in significant turbulent losses. One of the most effective methods for turbulent drag reduction is adding a very small amount of polymer drag-reducing agent to the pipeline. However, due to the complex interaction between polymers and turbulence, turbulence models incorporating polymer additives remain to be studied and developed. In the present work, we investigated the turbulence model using Reynolds averaged numerical simulation (RANS) to describe polyacrylamide drag reduction flow. A low-Reynolds-number kε model in turbulent flow has been developed by considering the concentration and type of polymers, which can be applied for polymer drag reduction prediction in the pipe. Mean velocity profile Uf, turbulent intensity, turbulent kinetic energy k, and turbulent dissipation rate ε in the regions of viscous sublayer, buffer layer and logarithmic layer have been predicted with various concentration θ, Reynolds number Re, degradation degrees, and changing laws of these factors have been revealed with wall distance. The developed turbulence model showed a good capability to qualitatively forecast mean velocity profile, turbulent intensity, turbulent kinetic energy, and turbulent dissipation rate, and the prediction error between the experimental and simulated values falls along the y = x curve, which can be used for the investigation and prediction of varies water-soluble, oil-soluble polymers in turbulent drag reduction flow in pipes with other parameters such as pipe diameter, pipe length, and the Reynolds number.

在高雷诺数条件下进行管道输送会产生巨大的紊流损失。减少湍流阻力的最有效方法之一是在管道中添加极少量的聚合物减阻剂。然而,由于聚合物与湍流之间复杂的相互作用,加入聚合物添加剂的湍流模型仍有待研究和开发。在本研究中,我们使用雷诺平均数值模拟(RANS)研究了描述聚丙烯酰胺减阻流的湍流模型。考虑到聚合物的浓度和类型,建立了湍流中的低雷诺数 k-ε 模型,该模型可用于管道中聚合物减阻预测。在不同浓度 θ、雷诺数 Re 和降解度条件下,预测了粘性子层、缓冲层和对数层区域的平均速度剖面 Uf、湍流强度、湍流动能 k 和湍流耗散率 ε,并揭示了这些因素随壁距的变化规律。所建立的湍流模型对平均速度廓线、湍流强度、湍流动能和湍流耗散率具有良好的定性预测能力,且实验值与模拟值之间的预测误差沿 y = x 曲线下降,可用于研究和预测管道中不同水溶性、油溶性聚合物在湍流降阻流动中与管道直径、管道长度和雷诺数等其他参数的关系。
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引用次数: 0
Application of Post–Widder inversion formula to the calculation of relaxation spectrum from relaxation modulus 应用后维德反演公式从松弛模量计算松弛谱
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-02-02 DOI: 10.1007/s13367-023-00086-7
Gyuhyeon Cho, Jehyeok Choi, Junghaeng Lee, Kwang Soo Cho

There have been developed a number of algorithms for the determination of relaxation spectrum from viscoelastic data. When viscoelastic data are given by stress relaxation test, the relation between relaxation spectrum and relaxation modulus can be transformed to that of Laplace transform. Hence, calculation of relaxation spectrum from relaxation modulus is a problem of inverting Laplace transform. Among various mathematical methods for inverse Laplace transform, the Post–Widder formula has been chosen by a number of researchers. However, they did not solve the problem by use of advance numerical technic but used low-order approximations. We suggest a new numerical algorithm which can calculate higher order solutions. In principle, the order of the Post–Widder formula is not limited in our algorithm.

目前已开发出许多从粘弹性数据中确定松弛谱的算法。当粘弹性数据由应力松弛试验给出时,松弛谱和松弛模量之间的关系可以转换为拉普拉斯变换。因此,从松弛模量计算松弛谱是一个反拉普拉斯变换的问题。在反拉普拉斯变换的各种数学方法中,许多研究者选择了后维德公式。然而,他们并没有使用先进的数值技术来解决这个问题,而是使用了低阶近似值。我们提出了一种可以计算高阶解的新数值算法。原则上,在我们的算法中,后维德公式的阶数不受限制。
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引用次数: 0
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Korea-Australia Rheology Journal
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