Premium
Studies on melt spinning. VI. Simulation of draw resonance using Newtonian and power law viscosities
Author(s) -
Ishihara Hideaki,
Kase Susumu
Publication year - 1976
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1976.070200116
Subject(s) - power law fluid , power law , spinning , diagram , phase diagram , amplitude , thermodynamics , isothermal process , oscillation (cell signaling) , materials science , mechanics , newtonian fluid , physics , mathematics , chemistry , optics , phase (matter) , composite material , biochemistry , statistics , quantum mechanics
Abstract Draw resonance, a periodic variation of spin line diameter in unstable melt spinning, was measured for its wave form under 34 different spinning conditions for PET and PP. In and attempt to simulate the measured wave form, the equations of continuity and momentum for the isothermal melt spinning of power law fluids were solved for their limit cycle solutions expressed in the time variations in the cross‐sectional area at the take‐up. Power law exponent p and draw down ratio ψ w uniquely define the solution. Theoretical curves were superposed on the experimental amplitude‐versus‐ψ w diagram and oscillation period‐versus‐ψ w diagram to assign p value to each experimental point. Excellent agreement between theory and experiment was obtained with PET in that p values were nearly independent of ψ w and of the diagram used in the determination of the p value, amplitude diagram, or oscillation period diagram. Motion pictures (16mm) of the side profiles of the pulsing spinline showed good agreement with the theoretical side profiles constructed from the corresponding limit cycle solution. It was proposed that the stability of melt spinning has no direct equivalence to the spinnability of fluids.