Physical consequences of mathematical model for polymer oscillatory flow

• Autorzy: Fialka M. , Herrmann L.
• Konferencja: Proceedings of the International Conference on Engineering Rheology ICER '99
• Języki publikacji: EN

Abstrakty

EN

The theory of second order nonlinear in time evolution dissipative ordinary differential equations (ODEs) is applied to a mathematical model concerning the oscillatory flow of molten polymers in extrusion capillary rheometer operating at constant pressure drop. Using a special one-parameter function as an example, a procedure for straight-line sector definition is explained. Then an appropriate system characteristic-function in such domain can be chosen. Such characteristic guarantees all solutions corresponding to ODE to be oscillatory with oscillatory time that can be estimated. Oscillatory time as an approximate equivalent of almost half-period of oscillatory flow rate is computed.

Słowa kluczowe

EN

dissipative ODE; oscillatory time; capillary rheometer; oscillatory flow rate of molten polymers

PL

polimery

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: Applied Mechanics and Engineering
• Rocznik: 1999
• Tom: Vol. 4, no spec.
• Strony: 277--282
• Opis fizyczny: Bibliogr. 7 poz., tab., wykr.

Twórcy

autor

Fialka M.

autor

Herrmann L.

• Institute of Mathematics, Faculty of Technology in Zlín, Technical University Brno, nám. TGM 275, 762 72 Zlín, CZECH REPUBLIC