Draw resonance in isothermal spinning is explained by using kinematic wave theory. The throughput wave equation and the expression for the throughput wave velocity are derived from the governing equations of the system, that is, the continuity, momentum, and constitutive equations. A comparison is made between twice the wave residence time and the threadline residence time from the spinneret to the take-up in order to fhd the stable and draw resonance regions in terms of the drawdown ratio. For Newtonian fluids, the critical drawdown ratio to cause the onset of draw resonance is 19.744.Part I1 will deal with draw resonance in the spinning of power law fluids and Maxwell fluids using the same wave theory. Calculation of the draw resonance amplitude when the drawdown ratio exceeds the critical values for Newtonian, power law, and Maxwell fluids will be explained in Part 111."
SCOPEMelt spinning is the process in which fibers or films are produced by means of extruding, drawing, and cooling liquid into the form of filaments or sheets, respectively. Draw resonance is one of the major instabilities occurring in melt spinning as the drawdown ratio is increased and is manifested by a sustained periodic variation in the liquid cross-sectional area along the spin line.This draw resonance phenomenon was first observed by Christensen (1962) and Miller (1963) and has since been investigated by many researchers experimentally (for example, Bergonzoni and DiCresce, 1966;Han et al., 1972; Zeichner, 1973;Donnelly and Weinberger, 1975;Ishihara and Kase, 1976) and theoretically (for example, Kase et al.,