International journal for numerical methods in fluids vol:20 issue:4 pages:319-334
We consider steady state and time-dependent flows of chemically reactive polymeric systems in two-dimensional geometries. A numerical simulation tool is proposed for predicting the evolution of the macroscopic velocity, temperature, stress and species concentration fields in such flows. We formulate a general mathematical model on the basis of the first principles of continuum mechanics, which includes a description of the non-linear coupling between kinematics, heat transfer and chemical kinetics. The resulting set of non-linear partial differential equations is solved numerically by means of appropriate finite element techniques. We have implemented the resulting numerical model in the general-purpose POLYFLOW(R) software developed in Louvain-la-Neuve, Belgium. Simulation results for various steady state and time-dependent reactive flows are reported.