STABILITY ANALYSIS OF FIBER SPINNING PROCESS

Mathematical techniques have been used in analysis of rheological behavior of polymer melts in spinning of synthetic fibers. The starting point of the analysis is given by a set of three nonlinear conservation equations. These are based on a model, one dimensional as far as space variations are concerned, that is asymptotically valid in the case of infinitely thin fibers. The following topics are discussed--steady state equations; perturbation equations; boundary and initial conditions; and solution of steady state and perturbation equations.