Phase-Space Analysis of Melt Spinning Processes

Abstract

Phase-space analysis of the fiber spinning processes has not been reported yet in the literature. The study on phase-space portrait of the melt spinning process is quite important industrially as well as academically because it is closely related to reachability of final velocity and also its theoretical analysis involves the fundamental understanding of the nonlinear dynamics of the process. In this study, we analysed the phase-portrait of simple melt spinning process using isothermal Newtonian, Maxwell-Oldroyd and non-isothermal Newtonian models. We have proven the isothermal and non-isothermal Newtonian models can be solved with any arbitrary final velocity. It has been found that isothermal Maxwell-Oldroyd model has an upper bound for final velocity and which depends on characteristic relaxation time.