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Finite element modelling of the flow of chemically reactive polymeric liquids
Author(s) -
Lefebvre L.,
Keunings R.
Publication year - 1995
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650200405
Subject(s) - finite element method , mechanics , continuum mechanics , flow (mathematics) , kinematics , partial differential equation , heat transfer , coupling (piping) , fluid mechanics , classical mechanics , mathematics , physics , thermodynamics , mathematical analysis , mechanical engineering , engineering
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‐liner 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.