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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 2 Issue 1 (1998) pp 79-92
Apparent slip at a polymer-polymer interface
J.L. Goveas (1) (a), G.H. Fredrickson (2)
(1) Materials Research Laboratory, University of California, Santa Barbara CA 93106-5130, USA
(2) Department of Chemical Engineering,University of California, Santa Barbara CA 93106-5130, USA
Received: 18 August 1997 / Received in final form: 1 December 1997 / Accepted: 2 December 1997
Abstract: We consider a planar interface between strongly-segregated homopolymers subjected to steady shear in the plane of the interface. We develop a constitutive equation for stress relaxation in an inhomogeneous system for chains obeying Rouse dynamics. Using this equation, the interfacial viscosity for a symmetric blend is found to be $\zeta b^{2}/(6\chi \nu_{0})$ in agreement with a scaling prediction due to de Gennes, where $\zeta$ is the bead friction coefficient, b is the segment length, $\nu_{0}$ is the segment volume and $\chi$ is the Flory-Huggins interaction parameter driving the phase separation. We generalize our results to asymmetric blends and describe a phenomenological extension to entangled melts.
PACS. 83.50.Lh Interfacial and free surface flows; slip - 83.80.Es Polymer blends
(a) email: jlgoveas@mrl.ucsb.edu
Online publication: April 21, 1998
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