A model for the Magill‐Li viscosity‐temperature relation
作者:
S. M. Breitling,
J. H. Magill,
期刊:
Journal of Applied Physics
(AIP Available online 1974)
卷期:
Volume 45,
issue 10
页码: 4167-4171
ISSN:0021-8979
年代: 1974
DOI:10.1063/1.1663032
出版商: AIP
数据来源: AIP
摘要:
A simple model has been developed to account for the viscosity‐temperature dependence of liquids. It is predicated upon the valid assumption that the activation energy for flow is Arrhenius‐like at sufficiently high temperatures, and that this activation energy varies inversely as the probability of finding sufficient local volume for transport at lower temperatures. The model yields a viscosity reducing equation very similar to the Magill‐Li empirical equation for the zero shear viscosity &eegr; as the function of temperatureT. The relation isln&eegr;&eegr;s=Aexp [B (x+&phgr;−1)−1]x−exp(B/2 &phgr;)1+&phgr;,whereA= 2.68,B= 0.432, &phgr; = 0.238,x=T/Tg, &eegr;Sis the reference viscosity at the reference temperatureTs, andTgis the glass temperature. This relation has been successful in reducing data for several viscous materials unto a single master curve which extends over about 16 orders of magnitude in viscosity and encompasses a broad temperature range extending fromTgto about 2.5Tgin some instances.
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