Transient solutions of the dynamics in film blowing processes

Hyun, Jae Chun; Kim, Hyunchul; Lee, Joo Sung; Song, Hyun‐Seob; Jung, Hyun Wook

doi:10.1016/j.jnnfm.2004.06.004

Cited by 39 publications

(52 citation statements)

References 9 publications

(16 reference statements)

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“…First, ordinary differential governing equations are approximated to algebraic form by applying second-order finite difference. It is possible to incorporate orthogonal collocation on finite elements (OCFE) method for approximating governing equations (Hyun et al, 2004), which is ingeniously designed for transient calculations. However, rather simple finite difference scheme for constructing general residual form of governing equations is quite suitable for predicting only steady-states.…”

Section: Newton's Methods With Continuation Scheme For Tracking Steadymentioning

confidence: 99%

“…Especially, various theoretical issues including stability and sensitivity as well as multiple base flows have been explored for elucidating intricate phenomena occurring in film blowing systems (Hyun et al, 2004;Shin et al, 2007;Pirkle and Braatz, 2010). However, there still remain many aspects to be clarified for nonlinear dynamical behavior of this process.…”

Section: Introductionmentioning

confidence: 99%

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Application of continuation method for tracking steady-state contours in viscoelastic film blowing

Kwon

Jung

Hyun

2011

Korea-Aust. Rheol. J.

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Pseudo arc-length continuation scheme has been implemented in Newton's numerical method for effectively solving complicated steady-states in viscoelastic film blowing processes. Various steady contours in both isothermal and nonisothermal cases with fixed freeze-line height have been obtained under constant bubble pressure or constant tension conditions. It turns out that the incorporation of single continuation equation into governing equation set is very efficient to successively track solutions with multiplicity.

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Section: Newton's Methods With Continuation Scheme For Tracking Steadymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Application of continuation method for tracking steady-state contours in viscoelastic film blowing

Kwon

Jung

Hyun

2011

Korea-Aust. Rheol. J.

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“…Andre et al (1998) studied the Maxwell non-isothermal film blowing process and pointed also out that no or multiple solutions may be obtained depending on the processing conditions. Hyun et al (2004) introduced a viscoelastic PhanThien Tanner (PTT) non isothermal model. Doufas and McHugh (2001) and Pirkle and Braatz (2010) introduced flow induced crystallization with a two-phase model.…”

Section: Film Blowingmentioning

confidence: 99%

An Overview of Molten Polymer Drawing Instabilities

Agassant¹,

Demay²

2014

Film Processing Advances

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Drawing instabilities and rupture are a serious limitation in polymer fibre and film processing. Onset of these defects depends on the processing conditions, on heat transfer, and on the rheology of the polymer even if some may be encountered for Newtonian fluids. The main part of this paper is devoted to the different forms of the draw resonance instability encountered in fibre spinning, cast-film and film blowing. The time dependent equations are presented for the simplified situation of constant width cast-film. Results of the two possible modelling strategies, linear stability analysis and direct simulation, applied to the different fibre and film processes are discussed.

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“…The stability, steady state process sensitivity, and various other aspects of the spinning dynamics have steadily attracted researchers' interest both in academia and industry, resulting in a voluminous body of information accumulated on the process [3][4][5][6][7][8][9][10][11]. Especially, the interesting instability phenomenon called draw resonance, frequently observed in fiber spinning (e.g., Liu and Beris [7] and Jung et al [11]) along with in film casting (e.g., Iyengar and Co [12] and Lee et al [13]) and film blowing (e.g., Yoon and Park [14] and Hyun et al [15]), has been responsible for many important research results [7][8][9][10][11][12][13][14][15] ever since it was first experimentally observed and named as such in the early 1960s [16,17]. This draw resonance instability, a Hopf bifurcation instability, is not only an academically interesting stability subject but also an industrially important productivity issue.…”

Section: Introductionmentioning

confidence: 99%