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Thermodynamic characteristics of the interaction coefficient from plasticizer viscosity measurements for the generalized viscosity model

机译:通用粘度模型中增塑剂粘度测量的相互作用系数的热力学特征

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Purpose - The purpose of this paper is to show that the generalised viscosity model can correctly characterise suspension data over both a wide range of concentration as well as a wide range of temperature. A second objective of this study was to show theoretically and experimentally how the interaction coefficient from the generalised viscosity model also appears to have some thermodynamic properties. Design/methodology/approach - In this study, many well-known suspension equations were shown mathematically to be subsets of the generalised viscosity equation. The generalised viscosity equation was also found to be able to be reduced mathematically to two well-known dilute solution equations (Huggins and Kramer's equations) as well. The relationship between Huggins and Kramer's constants and the interaction coefficient from the generalised viscosity equation yielded the potential to evaluate the solubility characteristics of the interaction coefficient. The value of the interaction coefficient was then found to be able to be evaluated as a function of temperature to enhance an understanding of the thermodynamic characteristics of the interaction coefficient using the data of Bueche. Findings - In this study, a polymer plasticiser system involving polymethyl methacrylate in the plasticiser diethyl phthalate yielded an interaction coefficient, σ, primarily in the expected plasticiser range from 0 < σ < 1. It was also found that the generalised viscosity equation fit Bueche's polymer plasticiser data remarkably well over the whole concentration range for temperatures ranging from 30°C to 140°C. This study also appeared to show that the interaction coefficient from the generalised viscosity model can apparently characterise thermal transitions as well as thermodynamic solubility for a polymer solute (i.e. polymethyl methacrylate) when viscosity is evaluated over a wide temperature range. This result was particularly significant since Bueche's data covered 25 decades of viscosity on a log scale. Originality/value - This is the first paper to successfully explore the thermodynamic characteristics of the interaction coefficient of the generalised viscosity equation. This opens up new avenues for evaluating the solubility and thermodynamic characteristics of various additives in solutions and polymeric formulations.
机译:目的-本文的目的是表明广义粘度模型可以在很宽的浓度范围和很宽的温度范围内正确表征悬浮数据。这项研究的第二个目的是从理论上和实验上说明广义粘度模型的相互作用系数也似乎具有一定的热力学性质。设计/方法/方法-在这项研究中,许多众所周知的悬架方程在数学上显示为广义粘度方程的子集。还发现广义粘度方程也可以在数学上简化为两个众所周知的稀溶液方程(Huggins和Kramer方程)。 Huggins和Kramer常数之间的关系以及来自广义粘度方程的相互作用系数产生了评估相互作用系数溶解度特性的潜力。然后发现相互作用系数的值能够作为温度的函数进行评估,以增强使用Bueche数据对相互作用系数的热力学特性的理解。研究结果-在这项研究中,在增塑剂邻苯二甲酸二乙酯中包含聚甲基丙烯酸甲酯的聚合物增塑剂体系产生的相互作用系数σ,主要是在预期的增塑剂范围为0 <σ<1的范围内。还发现,广义粘度方程适合Bueche的聚合物在30°C至140°C的温度范围内,增塑剂数据在整个浓度范围内均表现出色。该研究似乎还表明,当在较宽的温度范围内评估粘度时,广义粘度模型的相互作用系数可以明显表征聚合物溶质(即聚甲基丙烯酸甲酯)的热转变以及热力学溶解度。由于Bueche的数据以对数刻度涵盖了25年的粘度,因此这一结果尤为重要。原创性/价值-这是第一篇成功探索广义粘度方程相互作用系数的热力学特征的论文。这为评估各种添加剂在溶液和聚合物配方中的溶解度和热力学特性开辟了新途径。

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