• Title/Summary/Keyword: draw resonance

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Draw resonance in polymer processing: a short chronology and a new approach

  • Hyun, Jae-Chun
    • Korea-Australia Rheology Journal
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    • v.11 no.4
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    • pp.279-285
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    • 1999
  • Draw resonance is both an important and interesting instability encountered in various extensional-deformation-dominated polymer processing operations. It is important because of its paramount relevance to the productivity and quality issue in the related industry: and it is interesting because of as yet unanswered questions as to what its cause and origin are in terms of physics involved. Specifically, a short chronological account of the draw resonance research is presented in this paper bringing several previous results together and focusing on the derivation of a new criterion for draw resonance based on the interaction of the traveling times of some kinematic waves propagating along the spinline from the die exit to the take-up position. The new explanation of draw resonance put forward here based on the physics of the system is seen to have wide implications on both theoretical and practical aspects of draw resonance instability. The importance of the role played by spinline tension in determining draw resonance is an example of the former whereas interpretation of the mechanism of the draw resonance eliminator is an example of the latter. Finally, an approximate yet a very fast and convenient method for determining draw resonance is also derived based on the above findings and found to agree well with the exact stability results.

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Draw Resonance in Non-isothermal Spinning (비등온 방사공정에서의 Draw Resonance)

  • 현재천
    • The Korean Journal of Rheology
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    • v.1 no.1
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    • pp.71-79
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    • 1989
  • 임계연신비로 특징지어지는 비등온 방사공정에서의 Draw Resonance 발생을, White 의 변형속도에 따라 변하는 물질의 이완시간 모델에 의한 convected Maxwell 유체의 방사 모형을 사용해서 연구했다. 임계연신비의 계산에는 다른 연구자들이 이용하는 통상의 복잡 한 수치계산인 eigenvalue 방법을 쓰지 않고 전파하는 동적 waves 에 근거한 간단한 Hyun 의 이론을 사용했다. 그 결과 Staton Number와 냉각 공기온도로서 나타내지는 방사공정의 냉각이 공정을 안정시킨다는 것이 밝혀졌다. 다시 말해서 연신점도가 변형후화인 유체이거 나 변형박화인 유체이거난 상관없이 항상 Stanton Number가 켜지거나 또는 냉각공기온도 가 낮아질수록(즉냉각효과가 커질 때) 임계연신비가 커지는 것이다(단변형박화 dvcp의 빌부 구간을 제외하고) 한편 Draw Resonacnce 에 미치는 냉각의 효과는 무차원 이완시간(a Weissenberg Number 혹은 a Deborah number)이 커질수록 작아진다는 것도 발견됐다. 이 것은 process Time 이 작아지면 열전달이 작아지기 때문이다. 이러한 내용들은 다른 연구 자들의 결과와도 잘 부합된다.

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Melt spinning dynamics of Phan-Thien Tanner fluids

  • Lee, Joo-Sung;Jung, Hyun-Wook;Hyun, Jae-Chun
    • Korea-Australia Rheology Journal
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    • v.12 no.2
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    • pp.119-124
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    • 2000
  • Employing the Phan-Thien tanner (PTT) fluids model, dynamic behavior of the non-isothermal melt spinning has been investigated. Subjects such as draw resonance instability, the effects of spinline cooling and of the fluid viscoelasticity on the spinning dynamics have been studied using the governing equations of the system. In particular, the draw resonance criterion based on the traveling times of various kinematic waves in the spinline has been confirmed, the reason why the spinline cooling is stabilizing is analyzed, and the effect of fluid viscoelasticity on the spinline stability is summarized. It is believed that the same method as in this study can be applied with equal ease to other extension deformation processes like film casting and film blowing.

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Nonlinear dynamics and stability of film casting process

  • Lee, Joo-Sung;Hyun, Jae-Chun
    • Korea-Australia Rheology Journal
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    • v.13 no.4
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    • pp.179-187
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    • 2001
  • As part of continuing efforts to investigate nonlinear dynamics and stability of film casting process, our earlier results obtained by Lee et al. (2001b) have been extended in the present study to cover the film casting of both extension thickening and extension thinning fluids. The same instability mechanism and draw resonance criterion previously derived have been found valid here, and a rather complex dynamic behavior of film width in contrast to that of film thickness has also been confirmed. The effect of fluid viscoelasticity on draw resonance, however, exhibits opposite results depending on whether the fluid is extension thickening or thinning, i.e., it stabilizes film casting in the former while destabilizing in the latter. The encapsulation extrusion method which recently has been successfully employed to stabilize industrially important paper coating process, has been theoretically explained in the present study as to why such stabilization is possible.

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Stability analysis of a three-layer film casting process

  • Lee, Joo-Sung;Shin, Dong-Myeong;Jung, Hyun-Wook;Hyun, Jae-Chun
    • Korea-Australia Rheology Journal
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    • v.19 no.1
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    • pp.27-33
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    • 2007
  • The co-extrusion of multi-layer films has been studied with the focus on its process stability. As in the single-layer film casting process, the productivity of the industrially important multi-layer film casting and the quality of thus produced films have often been hampered by various instabilities occurring in the process including draw resonance, a supercritical Hopfbifurcation instability, frequently encountered when the draw ratio is raised beyond a certain critical value. In this study, this draw resonance instability along with the neck-in of the film width has been investigated for a three-layer film casting using a varying width non-isothermal 1-D model of the system with Phan-Thien and Tanner (PTT) constitutive equation known for its robustness in portraying extensional deformation processes. The effects of various process conditions, e.g., the aspect ratio, the thickness ratio of the individual film layers, and cooling of the process, on the stability have been examined through the nonlinear stability analysis.

Studies on the Draw Resonance in the Melt Spinning of polypropylene/Polyethylene Blends -Rheological Properties and Draw Resonance of Polypropylene/Polyethylene Blends - (폴리프로필렌/폴리에틸렌 혼합물의 용융방사에 있어서 연신공명에 관한 연구 -폴리 프로필렌/폴리에틸렌 혼합물의 유변학적 특성과 연신공명 -)

  • 김상용
    • The Korean Journal of Rheology
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    • v.4 no.2
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    • pp.148-160
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    • 1992
  • 폴리프로필렌(PP)과 폴리에틸렌(PE)혼합물의 용융방사에 있어서 불안정성을 연구하 였으며 혼합물의 유변학적 성질, 혼합물의 형태학적 특성과 연신공명과의 관계를 고찰한 것 이다. 신장점도는 spinline rheometer를 사용하여 측정하여 섬유직경은 광센서를 이용하여 방사공정에서 on-line 측정하였고 연신공명의 주기는 Fourier 변환을 이용하여 분석하였다. PP와 PE혼합물의 용융방사에 있어서 PP 함유량이 많을수록 연신공명이 발생하는 임계연신 비가 줄어들고 그 주기는 길어진다. 정상상태에서 구한 유변학적 성질을 이용하여 Shah와 Pearson의 이론식과 Fisher와 Denn의 이론식으로부터 구한 임계연신비값이 실험치와 많은 차이를 보여주었다. 연신공명에 의하여 형성된 섬유의 가는 부분의 배향도는 굵은 부분에 비하여 크게 향상되었으며 PP 함유량이 많을수록 배향도가 크게 증가하였다.

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