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Physical consequences of mathematical model for polymer oscillatory flow

Fialka M., Herrmann L.

Applied Mechanics and Engineering

1999

Vol. 4, no spec.

277-282

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.