Kinetic theory and rheology of dilute polymer solutions
Treatises on transport phenomena and kinetic theory have given the molecular theory for the transport properties of simple gases and liquids, but have ignored the extensive literature on polymer solutions. Much of this literature is based on the configuration-space theory developed through the years and summarized and exploited by Kirkwood and his collaborators (1). Most of the kinetic theory workers, however, have not been interested in obtaining the expression for the stress tensor for use in solving flow problems, nor in obtaining relations among the results of various rheological experiments. It is to these topics that this short note is addressed.
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- 1).Kirkwood, J. G., Macromolecules (New York 1967).Google Scholar
- 8).Bird, R. B., H. R. Warner Jr. and D. C. Evans, Adv. Polymer Science 8, 1–90 (1971). In Eq. [10.6] on page 44, 15/14 should read 4/7, and in Eq. [12.9] on page 49, 1/120 should be replaced by 1/280. Finally, it should be noted that H. Giesekus (see Rheol. Acta 2, 50, 1962) has developed expressions equivalent to Eqs. [25.20]-[25.22] on page 83.CrossRefGoogle Scholar
- 13).Hassager, O., Doctoral Dissertation, University of Wisconson (1973).Google Scholar