A multimode interfacial constitutive equation for molten polymers

A multimode interfacial constitutive equation is presented to describe the steady‐state and dynamic behavior of polymer/metal interfaces under flow conditions. The polymer melt is considered as a network of different types of polymer segments, modeled as Hookean springs with different relaxation times. In this way a set of convection equation results; these are solved numerically by using a direct stochastic interpretation method originally developed by Petruccione and Biller [J. Chem. Phys. 89, 577 (1988)]. The stress tensor and the slip velocity are calculated as functions of time in various simple shear flows and the numerical results are compared with available experimental slip velocity data in both steady and transient shear flows.