NDLI: New constitutive equations derived from a kinetic model for melts and concentrated solutions of linear polymers

Content Provider	Springer Nature Link
Author	Fang, Jianng Owens, Robert G.
Copyright Year	2005
Abstract	In this paper, new constitutive equations for linear entangled polymer solutions and melts are derived from a recently proposed kinetic model (Fang et al. 2004) by using five closure approximations available in the literature. The simplest closure approximation considered is that due to Peterlin (1966). In this case, a mean-field-type Fokker-Planck equation underlying the evolution equation for an equilibrium averaged polymer segment orientation tensor is shown to be consistent with the fluctuation-dissipation theorem (Kubo et al. 1985). We compare the performance of the five new constitutive equations in their capacity to faithfully reproduce the predictions of the modified encapsulated FENE dumbbell model of Fang et al. (2004) for a number of shear and extensional flows. Comparisons are also made with the experimental data of Kahvand (1995) and Bhattacharjee et al. (2002, 2003). In the case of the Hinch-Leal and Bingham closures (Hinch and Leal 1976; Chaubal and Leal 1998) a combination with the quadratic closure of Doi (1981) is found to be necessary for stability in fast flows. The Hinch-Leal closure approximation, modified in this way, is found to outperform the other closures and its mathematical description is considerably simpler than that of the Bingham closure.
Starting Page	577
Ending Page	590
Page Count	14
File Format	PDF
ISSN	00354511
Journal	Rheologica Acta
Volume Number	44
Issue Number	6
e-ISSN	14351528
Language	English
Publisher	Springer-Verlag
Publisher Date	2005-04-19
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Linear entangled polymers Closure approximations Encapsulated FENE dumbbell Reptation Constitutive equations Characterization and Evaluation of Materials Polymer Sciences Soft and Granular Matter, Complex Fluids and Microfluidics Mechanical Engineering Food Science
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Materials Science

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