EFFECT OF TEMPERATURE ON POLYMER MIGRATION .2. CONCENTRATION EQUATION

Polymer migration is a generally well-known phenomenon in a flow field , and it has been verified that the sources of such phenomena are nonh omogeneity of the flow, concentration effects and hydrodynamic interac tions between the polymer molecules. In addition, temperature effects were found to be another source of polymer migration. The Langevin equ ation for a polymer molecule was first derived from single chain dynam ics using a kinetic theory for the bead-spring elastic harmonic dumbbe ll model, as described in part I (reference [1]). In this paper the di ffusion equation and concentration profile of the polymer molecules in duced by a temperature gradient are obtained from the Fokker-Planck eq uation. A new differential operator is also introduced to calculate th e concentration profile. From the concentration equation obtained in t he general flow geometry, we find that in dilute polymer solution ther e are significant effects on the polymer migration not only due to the nonhomogeneity of the flow field but also due to temperature gradient s.