A DYNAMIC SLIP VELOCITY MODEL FOR MOLTEN POLYMERS BASED ON A NETWORK KINETIC-THEORY

In this paper the slip phenomenon is considered as a stochastic proces s where the polymer segments (taken as Hookean springs) break off the wall due to the excessive tension imposed by the bulk fluid motion. Th e convection equation arising in network theories is solved for the sp ecial case of a polymer/wall interface to determine the time evolution of the configuration distribution function psi (Q, t). The stress ten sor and the slip velocity are calculated by averaging the proper relat ions over a large number of polymer segments. Due to the fact that the model is probabilistic and time dependent, dynamic slip velocity calc ulations become possible for the first time and therefore some new ins ight is gained on the slip phenomenon. Finally, the model predictions are found to match macroscopic experimental data satisfactorily.