Studies on melt spinning. VI. Simulation of draw resonance using Newtonian and power law viscosities

Studies on melt spinning. VI. Simulation of draw resonance using Newtonian and power law viscosities
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熔融纺丝研究。

DOI:
10.1002/app.1976.070200116
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发表时间:
1976
期刊:
影响因子:
--
通讯作者:
S. Kase
S. Kase
中科院分区:
--
文献类型:
--
作者:
H. Ishihara;S. Kase

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在34种不同的纺丝条件下,测定了PET和PP的拉伸共振波形。为了模拟所测得的波形,求解了幂律流体等温熔体纺丝的连续性方程和动量方程,得到了以卷绕截面积随时间变化表示的极限环解。幂律指数p和拉伸比ε w唯一地定义了解。将理论曲线叠加在实验振幅-Δ W图和振荡周期-Δ W图上,为每个实验点指定p值。用PET得到的理论与实验之间的极好的一致性在于,p值几乎不依赖于pHw,也不依赖于用于确定p值的图、振幅图或振荡周期图。动态图像(16毫米)的侧面轮廓的脉冲自旋线表现出良好的一致性,从相应的极限环解构造的理论侧面轮廓。认为熔体纺丝的稳定性与流体的可纺性没有直接的等价关系。
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 ψw uniquely define the solution. Theoretical curves were superposed on the experimental amplitude-versus-ψw diagram and oscillation period-versus-ψw 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 ψw 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.