STUDIES ON MELT SPINNING .2. STEADY-STATE AND TRANSIENT SOLUTIONS OF FUNDAMENTAL EQUATIONS COMPARED WITH EXPERIMENTAL RESULTS
STUDIES ON MELT SPINNING .2. STEADY-STATE AND TRANSIENT SOLUTIONS OF FUNDAMENTAL EQUATIONS COMPARED WITH EXPERIMENTAL RESULTS
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DOI：
10.1002/app.1967.070110208
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发表时间：
1967-01-01
影响因子：
3
通讯作者：
MATSUO, T
中科院分区：
文献类型：
--
作者：
KASE, S;MATSUO, T
在本文的第一部分中，作者通过引入一组由热、力和物质平衡组成的基本方程来阐述熔体旋转的动力学。并给出了一些稳态解。涤纶和聚丙烯长丝在不同纺丝条件下的附加稳态解与实验结果一致。这些稳态溶液给出了长丝横截面A(x)和长丝温度(x)作为位置x的函数，它们与纱线质量相关：纱线密度和双折射、结晶度和分子取向分别与聚合物在100℃下冷却的速度和作用在长丝上的最大拉伸应力（F/A）相关。在IBM 1401计算机上计算的基本方程的瞬态解表明，在冷却空气的速度逐步增加后，卷绕辊上的灯丝截面形成一个大的瞬态峰值。这与实验结果相当吻合。因此，基本方程阐明了冷却空气速度与纱重变化之间的动态关系。
In the part installment of the present paper, the authors formulated the dynamics of melt spinning by introducing a set of fundamental equations that consist of the equations of heat, force, and material balances. Some steady‐state solutions were also given. Additional steady‐state solutions corresponding to many different spinning conditions for polyester and polypropylene filament yarns consistently show good agreement with experimental results. These steady‐state solutions that give filament cross‐sectionA(x) and filament temperaturet(x) as functions of positionxare correlated with yarn qualities: yarn density and birefringence, crystallinity and molecular orientation, are correlated respectively with the speed of Polymer cooling at 100°C. and the maximum tensile stress (F/A)wacting on the filament. A transient solution of the fundamental equations computed on an IBM 1401 machine shows that the filament cross‐sectionAat the take‐up roll forms a large transient peak after a stepwise increase in the speedvyof cooling air. This agrees with experiments fairly well. The fundamental equations, therefore, clarify the dynamic relations between cooling air speed and yarn weight variations.