Film casting of a modified Giesekus fluid: a steady-state analysis

Iyengar, Vardarajan R.; Co, Albert

doi:10.1016/0377-0257(93)80062-g

Cited by 51 publications

(20 citation statements)

References 13 publications

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“…This model has gained prominence because it describes the power-law regions for viscosity and normal-stress coefficients; it also gives a reasonable description of the elongational viscosity and the complex viscosity. Wiest (1989a) has developed an I�xtension of the model by using non Hookean springs; his model has been used by Iyengar & Co (1993) for studying fi lm casting. Wiest (1989a) has developed an I�xtension of the model by using non Hookean springs; his model has been used by Iyengar & Co (1993) for studying fi lm casting.…”

Section: The Giesekus Modelmentioning

confidence: 99%

Constitutive Equations for Polymeric Liquids

Bird¹,

Wiest²

1995

Annu. Rev. Fluid Mech.

230

103

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Section: The Giesekus Modelmentioning

confidence: 99%

Constitutive Equations for Polymeric Liquids

Bird¹,

Wiest²

1995

Annu. Rev. Fluid Mech.

230

103

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“…A variety of solution methods can be applied to solve the eigenvalue problem, most of which treat it as an initial-value problem. See, for instance, references (Gelder, 1969;Shah and Pearson, 1972;Fisher and Denn, 1975) for fiber spinning, and references (Yeow, 1974;Aird and Yeow, 1983;Anturkar and Co, 1988;Iyengar and Co, 1993;Iyengar and Co, 1996) for film casting. Gelder (1969) solved the problem by using a finite-difference approximation, while Fisher and Denn (1975) applied a Runge-Kutta method, combined with a shooting technique.…”

Section: Linear Stability Analysis and The Eigenvalue Problemmentioning

confidence: 99%

Effect of inertia and gravity on the draw resonance in high-speed film casting of Newtonian fluids

Cao

Khayat

Puskás

2005

International Journal of Solids and Structures

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The interplay between inertia and gravity is examined for Newtonian film casting in this study. Both linear and nonlinear stability analyses are carried out. Linear stability analysis indicates that while both inertia and gravity enhance the stability in film casting, inertia plays a more dominant role regarding the critical draw ratio. In contrast, the disturbance frequency is more sensitive to the effect of gravity. The nonlinear results show that at the critical draw ratio, the system oscillates harmonically, indicating the onset of a Hopf bifurcation. For a draw ratio above criticality, finiteamplitude disturbances are amplified, and sustained oscillation is achieved. It is found that the growth rate increases with draw ratio, but decreases with inertia and gravity, which suggests that initial transients tend to take longer to die out for a fluid with inertia and gravity. Transient post-critical calculations show that the nonlinearity can be effectively halted by inertia and gravity. The oscillation frequency (film-thickness amplitude) decreases (increases) with draw ratio. However, the film oscillates more frequently but less fiercely with stronger inertia and gravity effects. The rupture of the film is also examined, and is found to be delayed by inertia and gravity. Interestingly, although the oscillation amplitude is found to be weakest at the chill roll, it is at this location that the film tends to rupture first.

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“…Film casting is one of the representative stretching flows and has become the focus of many prior studies. 11–30…”

Section: Introductionmentioning

confidence: 99%

“…There were also other researchers who focused on viscoelastic fluid. For example, Alaie and Papanastasiou 17 utilized the K-BKZ-type integral model and Iyengar and Co 18 used a modified Giesekus model in their non-isothermal simulations. Three different viscoelastic models—Power-law, Maxwell-B, and Giesekus models—were used to simulate film casting under isothermal conditions.…”

Section: Introductionmentioning

confidence: 99%

Dual-scale modeling and simulation of film casting of isotactic polypropylene

Zhou

Zou

et al. 2015

Journal of Plastic Film & Sheeting

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This paper presents a dual-scale model, which couples the macroscopic flow field of the film-casting process and the microscopic crystallization behavior of the material. In this dual-scale model, the finite difference method is used to calculate the macroscopic flow field variables such as temperature, extensional rate, and draw tension, while the Monte Carlo method is employed to predict the evolution of the crystallinity and the development of the crystal morphology. The effect of draw ratio during film-casting on the morphology of isotactic polypropylene crystallization is investigated both experimentally and numerically. Based on the fairly good agreement between the experimental results and simulation predictions, we conclude that the dual-scale modeling and simulation presented in this paper can well predict the film-casting process and give users more detailed insight into the flow field and morphological evolution.

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Film casting of a modified Giesekus fluid: a steady-state analysis

Cited by 51 publications

References 13 publications

Constitutive Equations for Polymeric Liquids

Constitutive Equations for Polymeric Liquids

Effect of inertia and gravity on the draw resonance in high-speed film casting of Newtonian fluids

Dual-scale modeling and simulation of film casting of isotactic polypropylene

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