The Newtonian viscosity of polymer solutions: Scaling relationships
作者:
Musa Kaeem Baloch,
期刊:
Journal of Macromolecular Science, Part B
(Taylor Available online 1988)
卷期:
Volume 27,
issue 2-3
页码: 151-180
ISSN:0022-2348
年代: 1988
DOI:10.1080/00222348808245761
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Scaling in terms of temperature, composition, and molecular weight variables has practical and fundamental significance. The viscosity of polymer solutions deviates from that predicted by the Huggins equation when the concentration is higher than a characteristic concentration cch. The value of cchdepends on the molecular weight of the polymer and the thermodynamic conditions of the system. It is also a known fact that the deviations are due to the entanglements and interactions of polymer molecules. Therefore, we believe cch can be used as a concentration-reducing parameter to get the superposition curves. It can be shown that the concentration corresponding to a minimum value of ηsp/ch2(in the case of ηsp/c2vs concentration curves) is the value of cchof that system. Moreover, this cchis related to the intrinsic viscosity and molecular weight through the Huggins and Mark-Hauwink-Sakurada equations (cch= k′M−a′). Using cchvalues for different systems and plotting log ηrversus C/Cch, the superposition curves are obtained. In each case these curves are found to be linear, at least when concentrations approach zero. Master curves may be plotted by making use of the initial slopes of the curve (log ηrvs Bc/cch) and it is found that the data obtained at different thermodynamic conditions fit these (log ηrvs Bc/cch, B being the initial slope of log η vs c/cch) curves very well. The slopes are also compared to k′, a′, and the expansion coefficient of the system and the relationships are found to be linear. It is concluded that cchis a better parameter for the superposition of viscosity data, as well as being easy to obtain experimentally.
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