Modeling of the film blowing process by using variational principles

Zatloukal, Martin; Vlček, Jiřı́

doi:10.1016/j.jnnfm.2004.07.018

Cited by 25 publications

(47 citation statements)

References 36 publications

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“…The variational principle based Zatloukal-Vlcek formulation [14] describes a stable film blowing process as a state when the bubble shape satisfies minimum energy requirements (here the bubble energy is given by the elastic strain energy increase due to take up force and negative work done by the applied internal load). The bubble shape is described by the set of simple analytical equations utilizing four physical parameters: freeze line height, L, bubble curvature, pJ (which is given by membrane compliance, J, and the internal load, p), the die radius, R 0 and the blow up ratio, BUR (the ratio of the final bubble diameter at the freezeline height to the bubble diameter at the die exit).…”

Section: Zatloukal-vlcek Formulationmentioning

confidence: 99%

“…It has been found that the challenging task in the complex film blowing modeling is low stability of the numerical schemes which limits utilization of such models for wide parametric study, which could allow deeper fundamental understanding of the film blowing process. In order to overcome this difficulty, Zatloukal and Vlcek [14] in 2004 developed variational principle based film blowing model at which the process satisfies minimum energy requirements.…”

Section: Introductionmentioning

confidence: 99%

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Evaluation of variational principle based model for LDPE large scale film blowing process

Kolarik¹,

Zatloukal²

2013

AIP Conference Proceedings

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Abstract. In this work, variational principle based film blowing model combined with Pearson and Petrie formulation, considering non-isothermal processing conditions and novel generalized Newtonian model allowing to capture steady shear and uniaxial extensional viscosities has been validated by using experimentally determined bubble shape and velocity profile for LDPE sample on large scale film blowing line. It has been revealed that the minute change in the flow activation energy can significantly influence the film stretching level.

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Section: Zatloukal-vlcek Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Evaluation of variational principle based model for LDPE large scale film blowing process

Kolarik¹,

Zatloukal²

2013

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

show abstract

“…The variational principle based Zatloukal-Vlcek model [21] describes film blowing process as a state when the bubble shape satisfies minimum energy requirements. The bubble shape is described by the set of simple analytical equations (see Table 1) utilizing four physical parameters: the freezeline height, L, the bubble curvature, pJ (which is given by the membrane compliance, J, and the internal load, p), the die radius, R 0 and the blow up ratio, BUR.…”

Section: Zatloukal-vlcek Film Blowing Modelmentioning

confidence: 99%

“…The bubble shape is described by the set of simple analytical equations (see Table 1) utilizing four physical parameters: the freezeline height, L, the bubble curvature, pJ (which is given by the membrane compliance, J, and the internal load, p), the die radius, R 0 and the blow up ratio, BUR. [21].…”

Section: Zatloukal-vlcek Film Blowing Modelmentioning

confidence: 99%

Investigation of heat transfer in 9-layer film blowing process by using variational principles

Kolarik¹,

Zatloukal²

2013

AIP Conference Proceedings

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Abstract. In this work, coextrusion experiments utilizing an industrial 9-layer Brampton Engineering coextrusion film blowing line has been performed under different processing conditions (low/high air cooling intensity) in order to evaluate variational principles based modeling approach using energy equation utilizing variable heat transfer coefficient along the multi-layer bubble. It has been revealed that the variational principle based model can describe the bubble shape and temperature profile reasonably well even if the multi-layer film has been viewed as the static elastic membrane characterized only by one material parameter -bubble compliance J, which was not allow to vary along the bubble. Moreover, it has been found that if the freezeline height becomes long, heat transfer coefficient starts to vary significantly along the bubble which has crucial impact on the temperature profile along the multi-layer bubble. The performed theoretical parametric study revealed that increase in blow-up ratio or decrease in bubble curvature and air temperature causing bubble cooling efficiency increases, which allows to cooled down the multi-layer bubble for the given freezeline height to solidification temperature by smaller amount of the air volume flow rate.

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“…Petkim Petryo-chemistry Turkish Company had examined the causes and the solutions of these error reasons. Zatloukal and Vlcek (2004), Muke and vd, (2003) and Yoon and Park (2000) had handled the die design analysis with the results of experimental investigations to test the die design eligibility, bubble stability and had realized the optimization of the process according to that. Moreover, Carneiro vd, (2008) and Zhang and Ajji (2005) had handled the thickness of the film and the factors that affect the thickness in their studies of stability experiment.…”

Section: Introductionmentioning

confidence: 99%