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The material characterization of magnetorheological elastomers consisting of oxidized iron particles and cobalt particles 氧化铁颗粒和钴颗粒组成的磁流变弹性体的材料表征
IF 2.6 4区 工程技术 Q2 MECHANICS Pub Date : 2025-05-07 DOI: 10.1007/s13367-025-00123-7
Elliza Tri Maharani, Jong-Seok Oh, Seung-Bok Choi

Magnetorheological (MR) elastomer is classified as a smart material whose mechanical properties, such as stiffness, natural frequency, and damping capacity are tunable and controllable under the influence of magnetic field. This tunability makes it suitable for various engineering applications that require adjustable devices. Generally, MR elastomer contains magnetic particles and a matrix. Iron particles are typically used as magnetic particles in MR elastomer because of their low residual magnetism and high magnetization. Nevertheless, iron particles are prone to oxidation in a practical environment that can weaken the effectiveness of MR elastomer in terms of its field-dependent viscoelasticity. As an alternative, MR elastomer contains cobalt particles that offer better oxidative resistance and favorable electrical properties, yet their properties under oxidation have not been explored. In this work, we conducted an oxidation process using diluted 5vol% hydrochloric acid (5 vol% HCl). Two different magnetic particles (iron particles and cobalt particles) were used and tested to identify the better filler for MR elastomer subjected to oxidation conditions. The characterizations of magnetic particles were accomplished using high-resolution field emission scanning electron microscopy and energy dispersive X-ray spectroscopy (HR-FESEM and EDS) to observe the morphology and elemental compositions, and X-ray diffraction (XRD) to determine the crystallinity of magnetic particles. In addition, Fourier-transform infrared (FTIR) analysis was conducted to identify the molecular compounds of the MR elastomers. A vibrating sample magnetometer (VSM) was also utilized to obtain magnetic properties and a rheometer to measure rheological properties. The oxidation on the layer of the magnetic particles undoubtedly affected the MR elastomers’ properties showing the degradation of magnetic properties and rheological properties (storage modulus and loss modulus) for both iron particles and cobalt particles. However, cobalt particles exhibit greater oxidation resistance. It is shown that MR elastomers with cobalt particles showed a higher storage modulus and loss modulus compared to MR elastomers with iron particles both before and after oxidation. Specifically, MR elastomers with cobalt particles and MR elastomers with iron particles showed a decrement of the MR effect by 119.36% and 139.26%, respectively.

Graphical Abstract

磁流变弹性体是一种智能材料,其机械性能如刚度、固有频率和阻尼能力在磁场的影响下可调谐和可控。这种可调性使其适用于需要可调节装置的各种工程应用。一般来说,磁流变弹性体包含磁性颗粒和基体。铁颗粒具有低残余磁性和高磁化率的特点,是磁流变弹性体中常用的磁性颗粒。然而,铁颗粒在实际环境中容易氧化,从而削弱MR弹性体的场相关粘弹性。作为替代方案,MR弹性体含有钴颗粒,具有更好的抗氧化性和良好的电性能,但其氧化性能尚未得到探索。在这项工作中,我们使用稀释的5vol%盐酸(5vol% HCl)进行了氧化过程。使用两种不同的磁性颗粒(铁颗粒和钴颗粒)进行测试,以确定氧化条件下MR弹性体的更好填料。利用高分辨率场发射扫描电子显微镜和能量色散x射线能谱(HR-FESEM和EDS)观察磁性颗粒的形貌和元素组成,并用x射线衍射(XRD)测定磁性颗粒的结晶度。此外,利用傅里叶变换红外(FTIR)分析鉴定了MR弹性体的分子化合物。用振动样品磁强计(VSM)测量磁性能,用流变仪测量流变学特性。磁颗粒层的氧化无疑影响了磁弹性体的性能,表现为铁颗粒和钴颗粒的磁性能和流变性能(存储模量和损耗模量)的退化。然而,钴颗粒表现出更强的抗氧化性。结果表明,在氧化前后,含钴颗粒的MR弹性体比含铁颗粒的MR弹性体具有更高的存储模量和损耗模量。其中,含钴颗粒的MR弹性体和含铁颗粒的MR弹性体的MR效应分别降低了119.36%和139.26%。图形抽象
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引用次数: 0
Necessary corrections to an inelastic mixed-viscosity model to efficiently and accurately solve for the flow of polymer solutions around a sphere 对非弹性混合粘度模型进行必要的修正,以有效准确地求解聚合物溶液绕球流动
IF 2.6 4区 工程技术 Q2 MECHANICS Pub Date : 2025-04-17 DOI: 10.1007/s13367-025-00120-w
Anirban Ghosh, Raghav Kumar, Indranil Saha Dalal

It is well known from existing literature that the molecular constitutive models face convergence issues in CFD simulations at higher flow rates. Hence, this article investigates the viability of a numerically efficient approximation that potentially replaces such models by a GNF-based approach, by closely mimicking flow and stress profiles. As a test case, we use the flow of polymer solutions, modelled by FENE-P, around a sphere. Note, the FENE-P is frequently used as a constitutive model for polymer solutions. First, the flow fields predicted by FENE-P are compared with an equivalent GNF model (with the Carreau-Yasuda serving as the representative GNF in this study). Despite efforts to align the viscosity-shear rate dependence and thus creating equivalent models, the GNF model exhibits notable shortcomings, particularly due to neglect of chain stretching, especially near the stagnation points. Subsequently, an attempt is made to address this limitation by introducing extensional components to the local viscosity. Various inelastic models exist in literature for this aspect, among which the most recent one, the GNF-X formulation [Journal of Rheology 64, 493 (2020)] is selected. However, this formulation predicts significantly large stresses at the stagnation regions relative to FENE-P as well as fails to exhibit the asymmetry in stress and flow profiles. Consequently, we propose appropriate corrections to be added (termed as GNF-XM), which enables successful predictions. The asymmetry and drag coefficients from the GNF-XM agree well with the predictions from FENE-P across all flow rates. Notably, being inelastic and easier to converge, computational times are significantly lower than those for FENE-P, particularly at higher flow rates. This suggests a promising, highly efficient GNF-based approximation to FENE-P, with potential applicability to other complex constitutive models. Note, such an inelastic model would be helpful for polymer processing applications, particularly for faster design estimates. The corrections are physical in origin and independent of the details of the GNF-X formulation, which can be added to any given inelastic mixed-viscosity formulation.

Graphical abstract

现有文献表明,分子本构模型在大流速下的CFD模拟中存在收敛问题。因此,本文研究了数值有效近似的可行性,该近似有可能通过基于gnf的方法取代这些模型,通过密切模拟流动和应力剖面。作为一个测试案例,我们使用了由FENE-P模拟的聚合物溶液绕球体流动。注意,FENE-P经常被用作聚合物溶液的本构模型。首先,将FENE-P预测的流场与等效GNF模型(本文以careau - yasuda为代表的GNF)进行比较。尽管努力调整黏度-剪切率的依赖关系,从而创建等效模型,但GNF模型显示出明显的缺点,特别是由于忽略了链拉伸,特别是在停滞点附近。随后,尝试通过向局部粘度引入拉伸分量来解决这一限制。关于这方面的非弹性模型已有多种文献,其中选择了最新的GNF-X公式[Journal of Rheology 64, 493(2020)]。然而,该公式预测相对于FENE-P的滞止区有明显较大的应力,并且未能表现出应力和流动剖面的不对称性。因此,我们建议添加适当的修正(称为GNF-XM),从而实现成功的预测。GNF-XM的不对称性和阻力系数与FENE-P在所有流速下的预测结果吻合得很好。值得注意的是,由于非弹性且易于收敛,计算时间明显低于FENE-P,特别是在高流速下。这表明,一个有前途的,高效的基于gnf的近似FENE-P,具有潜在的适用性,其他复杂的本构模型。请注意,这种非弹性模型将有助于聚合物加工应用,特别是对于更快的设计估计。校正是物理上的,与GNF-X配方的细节无关,可以添加到任何给定的非弹性混合粘度配方中。图形抽象
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引用次数: 0
Rheological characterization of a novel synergistic bovine serum albumin–xanthan gum composite hydrogel 一种新型协同牛血清白蛋白-黄原胶复合水凝胶的流变学特性
IF 2.6 4区 工程技术 Q2 MECHANICS Pub Date : 2025-04-14 DOI: 10.1007/s13367-025-00121-9
Tochukwu Olunna Nnyigide, Osita Sunday Nnyigide, Kyu Hyun

We investigated a composite hydrogel composed of bovine serum albumin (BSA) and xanthan gum (XG). Using small-amplitude oscillatory shear (SAOS) and large-amplitude oscillatory shear (LAOS) tests, we explored the effects of both BSA and XG concentrations on the BSA-XG composite hydrogel across linear and nonlinear deformation length scales. In the SAOS tests, an increase in XG concentration, at a constant BSA content, resulted in a linear increase in the storage modulus (({G}^{prime})) and loss modulus (({G}^{{prime}{prime}})) of the hydrogel. The power-law viscoelastic frequency dependence of the BSA-XG hydrogel increased with higher XG concentrations, indicating a denser crosslinking network. The LAOS behavior, analyzed through storage modulus (({G}^{prime})) and loss modulus (({G}^{{prime}{prime}})) via Fourier transform rheology, revealed that the critical yielding strain amplitudes decreased as the XG concentration increased. Additionally, intra- and intercycle analyses were performed using Lissajous plots in conjunction with the stress decomposition method, stiffening and thickening ratios, and the sequence of physical processes technique. Strong elastic strain-stiffening was identified as the dominant nonlinear behavior at large strain amplitudes. Moreover, at higher XG concentrations, the strain-stiffening response was better preserved beyond the first critical yield strain amplitude. Fourier transform infrared spectra confirmed that the unfolding and crosslinking intensity of BSA was proportional to the XG concentration.

Graphical abstract

研究了由牛血清白蛋白(BSA)和黄原胶(XG)组成的复合水凝胶。通过小振幅振荡剪切(SAOS)和大振幅振荡剪切(LAOS)试验,我们探讨了BSA和XG浓度对BSA-XG复合水凝胶在线性和非线性变形长度尺度上的影响。在SAOS试验中,在BSA含量一定的情况下,XG浓度的增加导致水凝胶的储存模量(({G}^{prime}))和损失模量(({G}^{{prime}{prime}}))呈线性增加。随着XG浓度的增加,BSA-XG水凝胶的幂律粘弹性频率依赖性增加,表明交联网络更致密。通过傅里叶变换流变学的存储模量(({G}^{prime}))和损耗模量(({G}^{{prime}{prime}}))分析了老挝的行为,发现随着XG浓度的增加,临界屈服应变幅值降低。此外,利用Lissajous图结合应力分解法、加筋和增厚比以及物理过程序列技术进行了循环内和循环间分析。在大应变幅值下,强弹性应变加筋是主要的非线性行为。此外,在较高的XG浓度下,在第一个临界屈服应变幅值之后,应变加劲响应得到了更好的保存。傅里叶红外光谱证实,BSA的展开和交联强度与XG浓度成正比。图形摘要
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引用次数: 0
Effect of surfactant concentration on the rheological and aggregation behavior of a carbon nanotube suspension 表面活性剂浓度对碳纳米管悬浮液流变和聚集行为的影响
IF 2.6 4区 工程技术 Q2 MECHANICS Pub Date : 2025-04-10 DOI: 10.1007/s13367-025-00122-8
Hayoung Kwon, Sangkyun Koo

We investigated the effect of surfactant concentration on the rheological behavior of suspensions containing multi-walled carbon nanotubes (MWNTs) dispersed in N-methyl-2-pyrrolidone (NMP) mixed with nonionic surfactant, polyoxymethylene sorbitan monooleate (Tween 80). The surfactant concentration ranged from 0 to 10 wt.% relative to the MWNT particles. As the surfactant concentration increased, the shear viscosities initially decreased, reaching a minimum at 6 wt.%, and then increased. Similar trends were observed in the behavior of the yield stress and the power-law index. In oscillatory shear tests, storage modulus increased with the surfactant concentration up to 6 wt.% and then decreased. Aggregation structure was analyzed using a scaling theory, based on the suspension’s elasticity obtained from linear viscoelastic measurements. The dependence of elastic modulus on MWNT concentration at different surfactant concentrations provided fractal dimension of average aggregate. It was found that the addition of surfactant lowered the fractal dimension of average aggregates from 1.9 to 1.2–1.3. The fractal dimension at the surfactant concentration of 6 wt.% showed slightly lower values than those of 2 wt.% and 10 wt.%. which is the same trend as the rheological properties. These findings were further supported by a UV–visible-NIR spectroscopy method, which measured the light absorbance of individual MWNTs in diluted suspensions. The UV–visible-NIR spectroscopy analysis showed maximum absorbance at a surfactant concentration of 6 wt.%, indicating optimal dispersion of the MWNTs. This behavior aligned with the observed trends in shear viscosity and fractal dimension.

Graphical Abstract

研究了表面活性剂浓度对分散在n -甲基-2-吡咯烷酮(NMP)和非离子表面活性剂聚氧亚甲基山梨醇单油酸酯(Tween 80)中多壁碳纳米管(MWNTs)悬浮液流变性能的影响。表面活性剂相对于MWNT颗粒的浓度范围为0 ~ 10 wt.%。随着表面活性剂浓度的增加,剪切粘度开始下降,在6 wt.%时达到最小值,然后增加。在屈服应力和幂律指数的行为中也观察到类似的趋势。在振荡剪切试验中,当表面活性剂浓度达到6 wt.%时,存储模量先增大后减小。基于线性粘弹性测量得到的悬浮液弹性,采用标度理论分析了凝聚结构。不同表面活性剂浓度下MWNT浓度对弹性模量的依赖性提供了平均骨料的分形维数。结果表明,表面活性剂的加入使平均团聚体的分形维数由1.9降低到1.2 ~ 1.3。表面活性剂浓度为6 wt.%时,分形维数略低于2 wt.%和10 wt.%时。这和流变性能的趋势是一样的。这些发现得到了紫外-可见-近红外光谱法的进一步支持,该方法测量了稀释悬浮液中单个mwnt的吸光度。紫外-可见-近红外光谱分析表明,表面活性剂浓度为6 wt.%时吸光度最大,表明mwnt的分散效果最佳。这种行为与观察到的剪切粘度和分形维数趋势一致。图形抽象
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引用次数: 0
Transport of solute in an unsteady electroosmotic flow of Casson fluid through a micro-channel 非定常卡森流体电渗透微通道中溶质的输运
IF 2.6 4区 工程技术 Q2 MECHANICS Pub Date : 2025-03-13 DOI: 10.1007/s13367-025-00119-3
Sudip Debnath, Sachin Shaw, Ashis Kumar Roy

The study aims to analyse the importance of electroosmotic force on the solute dispersion in a microchannel where the carrier fluid is defined by non-Newtonian Casson rheology. The Electric-double layer (EDL) is considered near the channel walls. Flow unsteadiness due to the electric force leads to a highly non-linear momentum equation, which is solved using a regular perturbation method. However, Gill’s generalized dispersion technique is used to discuss the solute dispersion mechanism. The velocity profile, along with the advection, dispersion coefficients and mean concentration, is discussed with different rheological and controlled parameters. The impact of key control parameters, i.e., thickness of the EDL, yield stress, and Péclet number, on the dispersion coefficient, advection coefficient, and mean concentration is examined. A wide range of parameters is considered based on the experimental and physical database from different literatures. Although the transport coefficients are evaluated analytically, numerical tests have also been conducted, producing results that match very well. The existence of electroosmotic force (higher Debye–Hückel electro-osmotic parameter, κ) raises the advection coefficient, and this impact is more noticeable for lower κ values. The dispersion coefficient ((K_{2})) diminishes nonlinearly with increasing κ and eventually converges to a specific value with larger κ. The mean concentration variation is more pronounced at lower values of κ, showing a 50% increase as κ rises from 10 to 50, while the variation is only 7% when κ changes from 50 to 100. Understanding dispersion phenomena controlled by electroosmotic force and pulsatility is a challenging task, mainly due to its nonlinearity, and as a result, this area has not been extensively explored. This type of study may have wide applications in biomedical engineering, human blood flow analysis, and beyond. The present simulation will thus be valuable in understanding mass transfer processes.

Graphical abstract

Schematic diagram of the proposed geometry

该研究旨在分析电渗透力对微通道中溶质分散的重要性,其中载体流体由非牛顿卡森流变学定义。双电层(EDL)在通道壁附近被考虑。由电磁力引起的流动不稳定性导致了一个高度非线性的动量方程,该方程采用正则摄动法求解。然而,采用吉尔广义色散技术来讨论溶质色散机理。讨论了不同流变参数和控制参数下的速度分布、平流、弥散系数和平均浓度。考察了EDL厚度、屈服应力和psamclet数等关键控制参数对扩散系数、平流系数和平均浓度的影响。基于不同文献的实验和物理数据库,考虑了广泛的参数范围。虽然对输运系数进行了解析计算,但也进行了数值试验,得出了非常吻合的结果。电渗透力(较高的debye - hckel电渗透参数κ)的存在提高了平流系数,且这种影响在较低的κ值下更为明显。色散系数((K_{2}))随着κ的增大呈非线性减小,并随着κ的增大最终收敛到某一特定值。κ值越低,平均浓度变化越明显,为50% increase as κ rises from 10 to 50, while the variation is only 7% when κ changes from 50 to 100. Understanding dispersion phenomena controlled by electroosmotic force and pulsatility is a challenging task, mainly due to its nonlinearity, and as a result, this area has not been extensively explored. This type of study may have wide applications in biomedical engineering, human blood flow analysis, and beyond. The present simulation will thus be valuable in understanding mass transfer processes.Graphical abstractSchematic diagram of the proposed geometry
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引用次数: 0
New constitutive equation for simple yield stress fluids (SYSF) and ElastoViscoPlastic fluids (EVP) 简单屈服应力流体(SYSF)和弹粘塑性流体(EVP)的新本构方程
IF 2.6 4区 工程技术 Q2 MECHANICS Pub Date : 2025-03-12 DOI: 10.1007/s13367-025-00118-4
Mohamed Khelfallah, Ahmed Benzaoui

This article describes a new rheological model that considers the structural changes of Simple Yield Stress Fluid (SYSF). These fluids exhibit an elastic behavior below a threshold stress and non-Newtonian viscous behavior governed by a model similar to the generalized Casson model proposed by Benhadid et al. [1] above the yield stress. This model represents the complex rheological behavior of SYSFs across the whole shear rate range while taking into account the structural changes found in this type of fluid. This approach is based on the development of a generic model that will encompass most classical models as particular cases by describing the complete flow curve of viscoplastic (VP) materials with an extension to ElastoViscoPlastic fluids (EVP). Thus, the apparent viscosity determined from the proposed model describes a smooth flow curve without discontinuities, where the yield stress is clearly expressed with a maximum Newtonian viscosity (viscosity at zero shear rate (eta_{0})), which approaches a Newtonian viscosity (eta_{infty }) at high shear rates.

Graphical abstract

本文提出了一种考虑简单屈服应力流体结构变化的流变学模型。这些流体在阈值应力以下表现出弹性行为,在屈服应力以上表现出与Benhadid等人提出的广义Casson模型相似的非牛顿粘性行为。该模型反映了SYSFs在整个剪切速率范围内的复杂流变行为,同时考虑了这类流体的结构变化。该方法基于通用模型的开发,该模型通过描述粘塑性(VP)材料的完整流动曲线,扩展到ElastoViscoPlastic流体(EVP),将大多数经典模型作为特殊情况纳入其中。因此,根据所提出的模型确定的表观粘度描述了一个没有不连续的光滑流动曲线,其中屈服应力清晰地用最大牛顿粘度(零剪切速率下的粘度(eta_{0}))表示,在高剪切速率下接近牛顿粘度(eta_{infty })。图形摘要
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引用次数: 0
Analytical model calculation for viscometric flows: integration factor method 粘性流动的解析模型计算:积分因子法
IF 2.6 4区 工程技术 Q2 MECHANICS Pub Date : 2025-02-24 DOI: 10.1007/s13367-025-00117-5
Jehyeok Choi, Kwang Soo Cho

We propose a systematic method to solve viscoelastic model for viscometric flows. The method is to generalize integration factor for tensor differential equation. If the analytical solution for viscometric flow exists, then it is easier to check the validity of the constitutive equation than use of numerical solution. Our ansatz gives the analytical solutions of quasi-linear viscoelastic models, such as the upper-convected, lower-convected, and corotational Maxwell models, because they become sets of linear ordinary differential equations for viscometric flows such as simple shear and elongational flows. We expect that the integration factor method can improve the numerical algorithms for nonlinear viscoelastic models and we are in preparation of a new numerical algorithm based on the integration factor method.

Graphical abstract

提出了一种系统的黏弹性流模型求解方法。该方法是推广张量微分方程的积分因子。如果黏性流动的解析解存在,则本构方程的有效性比数值解更容易检验。我们的分析给出了准线性粘弹性模型的解析解,如上对流、下对流和同轴麦克斯韦模型,因为它们变成了一组线性常微分方程,用于粘弹性流动,如简单的剪切和拉伸流动。我们期望积分因子法可以改进非线性粘弹性模型的数值算法,并在积分因子法的基础上准备一种新的数值算法。图形抽象
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引用次数: 0
Design and fabrication of nanolayered colorless polyimide/Si3N4 optical film 纳米层无色聚酰亚胺/氮化硅光学薄膜的设计与制备
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2025-01-10 DOI: 10.1007/s13367-024-00113-1
Jae Seung Lee, Zheng Min Huang, Young Seok Song

In this study, low-reflective multilayer films (LRMFs) and high-reflective multilayer films (HRMFs) were designed and manufactured using colorless polyimide (CPI) as a low refractive index layer and Si3N4 as a high refractive index layer. A numerical simulation was conducted to design a nanolayered structure with different reflectivity characteristics at specific wavelengths. Rheological analysis was performed to determine a solution concentration needed for coating CPI at the nanoscale via the wet process. A layer of 89 nm was found to be formed stably using a 5wt% CPI solution at 5000 rpm. The results revealed that LRMFs exhibited less than 1% reflectivity at the central wavelength, while HRMFs showed more than 40% reflectivity at the central wavelength. Morphological analysis confirmed that the designed nanostructures were successfully fabricated. This research has provided a new way to fabricate optical film through the wet process.

Graphical abstract

本研究以无色聚酰亚胺(CPI)为低折射率层,氮化硅(Si3N4)为高折射率层,设计并制备了低反射多层膜(LRMFs)和高反射多层膜(hrfs)。采用数值模拟的方法设计了具有不同波长反射特性的纳米层结构。通过流变学分析,确定了通过湿法在纳米尺度上涂层CPI所需的溶液浓度。在5wt%的CPI溶液中,在5000rpm下,可以稳定地形成89nm的层。结果表明,LRMFs在中心波长的反射率小于1%,而hrrmfs在中心波长的反射率大于40%。形貌分析证实了所设计的纳米结构是成功制备的。该研究为湿法制备光学薄膜提供了一条新的途径。图形抽象
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引用次数: 0
Solute dispersion in a permeable capillary with wall exchange: Darcy flow model 具有壁交换的可渗透毛细管中溶质弥散:达西流动模型
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-12-29 DOI: 10.1007/s13367-024-00116-y
Ashis Kumar Roy, O. Anwar Bég, Sachin Shaw, Lazaro Revocatus Mashiku, Tasveer A. Bég

Complex chemical reactions and hydrodynamic dispersion feature in many aspects of hemodynamics. Motivated by examining the reactive phase change dispersion in perfusion, a mathematical study is presented for solute dispersion in incompressible laminar blood flow through a straight circular capillary with a permeable wall (enabling lateral movement across the vessel fenestrations in perfusion and associated with the presence of the endothelial layer). The boundary condition at the vessel wall is considered a reversible phase exchange process based on first-order chemical kinetics. Darcy’s law is deployed to feature the permeability nature of the capillary. A multiple-scale asymptotic analysis is developed, and a non-dimensional transverse averaged “macro-transport” equation for convective diffusion–dispersion is derived. Expressions are then presented for the advection coefficient and Taylor dispersion coefficient. Numerical evaluation of the impact of key control parameters i.e., permeability parameter, pressure parameter, retention parameter (α), Damköhler number (Da) on dispersion coefficient, advection coefficient and leading order concentration of the solute is conducted, and solutions are visualized graphically both for small and large times. The novelty of the present work is, therefore, the collective consideration of complex wall permeability and pressure difference in addition to boundary reaction and Darcian body force effects. The analysis shows that the dispersion coefficient is initially enhanced gradually with an increment in the retention parameter with its initial small value and thereafter exhibits a smooth decay. The hydrodynamic dispersion coefficient markedly decreases with higher values of the permeable parameter. A higher magnitude of dispersion coefficient is computed at the vessel inlet and then decreases towards the outlet. A boost in the leading order concentration of the solute is computed at small times but is stabilized and eventually remains invariant with time. The axial velocity is found to depend strongly on the axial position in the capillary. A displacement in concentration peaks is also observed which is attributable to advection along the axial direction, and the decreasing peaks with respect to time are due to the diffusion of the solute from the fluid phase to the vessel wall. Generally, it is also observed that retention enhances the chemical reaction effect, leading to a greater loss of solute over time. The simulations are relevant to chemo-hemodynamics and also may find applications in drug delivery (pharmacodynamics).

Graphical abstract

复杂的化学反应和流体动力学弥散在血流动力学的许多方面都具有特点。在研究灌注中反应性相变弥散的激励下,提出了一项数学研究,研究了不可压缩层流中溶质弥散通过具有渗透性壁的直圆形毛细血管(允许在灌注中穿过血管开窗的横向运动,并与内皮层的存在有关)。基于一级化学动力学,容器壁边界条件被认为是可逆的相交换过程。达西定律被用来描述毛细管的渗透性。建立了一种多尺度渐近分析方法,导出了对流扩散-色散的无量纲横向平均“宏观输运”方程。然后给出了平流系数和泰勒色散系数的表达式。对渗透率参数、压力参数、截留参数(α)、Damköhler数(Da)等关键控制参数对溶质弥散系数、平流系数和阶浓度的影响进行了数值评价,并进行了小次和大次求解。因此,本工作的新颖之处在于,除了边界反作用力和达西体力效应外,还集体考虑了复杂的壁透性和压差。分析表明,随着保持参数的增加,色散系数开始逐渐增大,初始值较小,之后呈平稳衰减。随着渗透参数的增大,水动力弥散系数明显减小。在容器入口处计算较高的弥散系数,然后在出口处减小。在很小的时间内计算溶质的一级浓度的提高,但它是稳定的,并最终随时间保持不变。发现轴向速度在很大程度上取决于毛细管的轴向位置。还观察到浓度峰的位移,这是由于沿轴向的平流,而随时间的减少峰是由于溶质从流体相扩散到血管壁。通常,还可以观察到,保留增强了化学反应效果,导致溶质随着时间的推移损失更大。模拟与化学血流动力学相关,也可以在药物传递(药效学)中找到应用。图形抽象
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引用次数: 0
Solution rheology of poly(ionic liquid)s: current understanding and open questions 聚离子液体的溶液流变学:目前的认识和有待解决的问题
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-12-14 DOI: 10.1007/s13367-024-00115-z
Atsushi Matsumoto

Poly(ionic liquid)s are ion-containing polymers possessing ionic liquid structures on their repeating units. Owing to the unique physicochemical properties of ionic liquids, many existing studies have found that the properties of poly(ionic liquid)s are distinct from those of conventional ion-containing polymers, such as poly(sodium styrene sulfonate). A lot of scientific efforts have been made to understand the relationship between the chemical structure and the material properties of poly(ionic liquid)s, and several good review papers are available in the literature. The aim of this short review is to summarize key results on the viscoelastic properties of poly(ionic liquid)s in solution. We discuss in detail the counterion condensation and the charge screening in poly(ionic liquid) solutions.

Graphical Abstract

聚(离子液体)是在重复单元上具有离子液体结构的含离子聚合物。由于离子液体具有独特的物理化学性质,许多现有的研究发现,聚离子液体的性质不同于传统的含离子聚合物,如聚苯乙烯磺酸钠。人们对聚离子液体的化学结构与材料性能之间的关系进行了大量的科学研究,并发表了一些较好的综述论文。本文综述了聚离子液体在溶液中粘弹性方面的主要研究成果。详细讨论了多离子液体溶液中的反离子缩合和电荷筛选。图形抽象
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Korea-Australia Rheology Journal
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