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A one-dimensional model for viscoelastic diffusion in polymers
Book chapter   Open access

A one-dimensional model for viscoelastic diffusion in polymers

C.J. Durning, P.H. Tang and R.A. Cairncross
Rheology Series, pp 1489-1515
1999
DOI: https://doi.org/10.1016/S0169-3107(99)80023-9
url
https://doi.org/10.1016/s0169-3107(99)80023-9View
Published, Version of Record (VoR)CC BY-NC-ND V4.0,  Open
url
https://doi.org/10.1016/S0169-3107(99)80023-9View
Published, Version of Record (VoR) Open

Abstract

This chapter presents a one-dimensional model for viscoelastic diffusion in polymers. Flow occurs in a mixture with relative motion between components, driven by a combination of thermodynamic and mechanical forces. The simplest case involves only two components with no applied mechanical tractions; the relative motion is mutual diffusion, generally resulting in flow of each component dominated by dilation. This situation is discussed for one-dimensional motions in the case of a binary mixture with one viscoelastic component and the other an ordinary viscous fluid. A quantitative understanding of mutual diffusion in concentrated polymer/viscousfluid mixtures is of great practical importance to understand and control a number of polymer processing operations and end-use applications. Experimental studies indicate that unsteady, one-dimensional diffusion in concentrated polymer/viscous-fluid mixtures ranges from ordinary Fickian behavior to strongly non-Fickian, depending on some conditions. A one-dimensional nonlinear model for viscoelastic diffusion in concentrated polymer-fluid mixtures is constructed by an ad-hoc generalization of the linear response model.

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