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浓氧化锆悬浮液的屈服应力:与颗粒相互作用的相关性

Yield Stress of Concentrated Zirconia Suspensions: Correlation with Particle Interactions.

作者信息

Megías-Alguacil D, Durán JD, Delgado AV

机构信息

Departamento de Física Aplicada, Facultad de Ciencias, Universidad de Granada, Granada, 18071, Spain

出版信息

J Colloid Interface Sci. 2000 Nov 1;231(1):74-83. doi: 10.1006/jcis.2000.7121.

Abstract

The presence of a sufficient concentration of solid particles in a solution gives rise to a large increase in its viscosity and, more importantly, to significant deviations with respect to its original Newtonian behavior. Different rheological techniques are available to characterize such deviations, but the simplest one, obtention of steady-state rheograms, is already extremely useful with that purpose. In this work, this technique is applied to suspensions of zirconia particles, both synthesized with spherical geometry and commercial. The sigma(shear stress)-gamma;(shear rate) curves show that the suspensions are nonideal plastic, thus exhibiting a finite yield stress, sigma(0), and a shear-thinning flow. It is through sigma(0) that a connection can be established between steady-state rheological behavior and interaction energy between particles, since sigma(0) can be estimated as the maximum attractive force between particles multiplied by the number of bonds per unit area between a given particle and its neighbors. Having an experimental determination of sigma(0), the verification of its relation with the attractive forces requires estimation of the potential energy of interaction between any pair of particles. Two approaches will be considered: one is the classical DLVO model, in which the potential energy, V, is the sum of the van der Waals (V(LW)) and electrostatic (V(EL)) contributions. The second approach is the so-called extended DLVO theory, in which the acid-base interaction V(AB) (related to the hydrophilic repulsion or hydrophobic attraction between the particles) is considered in addition to V(LW) and V(EL). The three contributions can be calculated as a function of the interparticle distance if the particle-solution interface is characterized from both the electric and the thermodynamic points of view. The former is carried out by means of electrophoretic mobility measurements and the latter by contact angle determinations for three probe liquids on zirconia powder layers. Comparison between measured and calculated sigma(0) values was carried out for suspensions of spherical, monodisperse ZrO(2) particles, with volume fraction of solids, straight phi, ranging between 4.6 and 21.7%, in 10(-3) M NaCl solutions. In the case of commercial particles, the effects of both NaCl concentration (10(-5) to 10(-1) M) and volume fraction (3.5 to 21%) were investigated. It is found that the classical DLVO theory cannot be used to predict the yield stress when [NaCl]=10(-5) M, since the high zeta potentials and thick double layers never yield partial differential V/ partial differential R>0 (the interaction is repulsive for all distances) in such a case. A similar problem was encountered in 10(-1) M solutions, but now because V is always attractive, and no maximum force can be found. On the contrary, the extended DLVO model always yield physically reasonable sigma(0) values (coincident with those deduced from the classical approach when calculation is possible in the latter case). The comparison with experimental data shows that theory clearly underestimates sigma(0) by one order of magnitude or even more. The possible role of particle aggregation in this underestimation is discussed in terms of the scaling behavior of sigma(0) as a function of straight phi. Copyright 2000 Academic Press.

摘要

溶液中存在足够浓度的固体颗粒会使其粘度大幅增加,更重要的是,会使其与原始牛顿行为产生显著偏差。有多种流变学技术可用于表征此类偏差,但最简单的一种,即获得稳态流变图,就已非常有助于实现该目的。在本工作中,该技术应用于氧化锆颗粒悬浮液,包括合成的球形颗粒和市售颗粒。剪切应力(σ)-剪切速率(γ)曲线表明,这些悬浮液是非理想塑性的,因此表现出有限的屈服应力σ(0)和剪切变稀流动。通过σ(0)可以在稳态流变行为与颗粒间相互作用能之间建立联系,因为σ(0)可估计为颗粒间最大吸引力乘以给定颗粒与其相邻颗粒之间单位面积的键数。通过实验测定σ(0)后,要验证其与吸引力的关系,需要估计任意一对颗粒间相互作用的势能。将考虑两种方法:一种是经典的DLVO模型,其中势能V是范德华力(V(LW))和静电力(V(EL))贡献之和。第二种方法是所谓的扩展DLVO理论,其中除了V(LW)和V(EL)外,还考虑了酸碱相互作用V(AB)(与颗粒间的亲水排斥或疏水吸引有关)。如果从电学和热力学角度对颗粒-溶液界面进行表征,这三种贡献可作为颗粒间距离的函数进行计算。前者通过电泳迁移率测量来实现,后者通过在氧化锆粉末层上对三种探针液体进行接触角测定来实现。对10⁻³ M NaCl溶液中球形、单分散ZrO₂颗粒悬浮液进行了测量值与计算值σ(0)的比较,固体体积分数φ在4.6%至21.7%之间。对于市售颗粒,研究了NaCl浓度(10⁻⁵至10⁻¹ M)和体积分数(3.5%至21%)的影响。发现当[NaCl]=10⁻⁵ M时,经典的DLVO理论无法用于预测屈服应力,因为在这种情况下,高ζ电位和厚双电层从未产生∂V/∂R>0(在所有距离下相互作用都是排斥的)。在10⁻¹ M溶液中也遇到了类似问题,但现在是因为V始终是吸引性的,且找不到最大力。相反,扩展的DLVO模型总是能给出物理上合理的σ(0)值(在后一种情况下计算可能时与经典方法推导的值一致)。与实验数据的比较表明,该理论明显低估了σ(0)一个数量级甚至更多。根据σ(0)作为φ的函数的标度行为,讨论了颗粒聚集在这种低估中可能起的作用。版权所有2000年学术出版社。

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