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A generalized temperature‐dependent, non‐Newtonian Hele–Shaw flow in injection and compression moulding
Author(s) -
Steinbach Jörg
Publication year - 1997
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19970925)20:14<1199::aid-mma910>3.0.co;2-5
Subject(s) - mathematics , rheology , isothermal process , non newtonian fluid , flow (mathematics) , viscosity , newtonian fluid , boundary value problem , domain (mathematical analysis) , compression (physics) , finite element method , calculus (dental) , mechanics , thermodynamics , mathematical analysis , materials science , geometry , composite material , physics , medicine , dentistry
A generalized Hele–Shaw flow is derived and analysed in injection and compression moulding which contains non‐isothermal and non‐Newtonian rheological behaviour of the molten polymers as well as non‐symmetric effects. The corresponding fixed domain formulations for the flow are investigated from a mathematical point of view. Different approaches for the determination of the temperature and some viscosity models are discussed. Together with an outline of the proposed solution algorithm special finite element techniques are described for the numerical treatment of this complex non‐linear moving boundary problem. © 1997 by B. G. Teubner Stuttgart–John Wiley & Sons Ltd.