A Mathematical Model for Spinning Molten Polymers and Conditions of Spinning

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Abstract
The equations of spinning of molten polymers in the stationary non-isothermal state have been solved by an analytical numerical method so as to obtain temperature T(z) and section A (z) profiles along the spinning axis z. T(z) and A(z) are thus correlated with the molecular parameters of the molten polymer: viscosity, density, and specific heat at constant pressure, and with the cohditions of spinning: extrusion speed, take-up speed, air temperature, extrusion temperature, and polymer mass-flow rate. Furthermore, the correlation has been obtained between fiber quality and steady-state solutions. A critical collection rate and the critical extrusion output have been deduced from such correlations. Above such critical values, breakage of the molten polymer takes place.