Draw resonance in film casting of viscoelastic fluids: A linear stability analysis

1988 ◽  
Vol 28 (3) ◽  
pp. 287-307 ◽  
Author(s):  
Nitin R. Anturkar ◽  
Albert Co
2020 ◽  
pp. 875608792097844
Author(s):  
Dhammaraj Rokade ◽  
Sanket Chougale ◽  
Prashant Patil ◽  
Tanushree Bhattacharjee ◽  
Dnyaneshwar Gawande ◽  
...  

Commercially important extrusion film casting (EFC) processes for manufacturing plastic films or sheets are hampered by several instabilities that severely limits their productivity. In this research we focussed on one important instability: the draw resonance that occurs during the EFC process mainly under extensional flow conditions. Draw resonance is the sustained periodic oscillations in the film dimensions, notably film width and thickness, when the process operates beyond a critical draw ratio (CDR). In this research our goal was to reduce this draw resonance instability by incorporating well dispersed nanoclay fillers in a base polymeric resin (such as a linear low density polyethylene – LLDPE) to determine how these nanocomposite (NC) formulations can prevent or reduce the draw resonance defect. EFC experiments were conducted on the base resin and on the NC formulations under non-isothermal conditions to determine the onset of the draw resonance experimentally. Conventional linear stability analysis was performed to determine the onset of the draw resonance defect numerically. Numerical predictions for the onset of draw resonance were in qualitative agreement with our experimental data. Our results showed that incorporating appropriate nanoclay concentrations in a base polymeric resin indeed enhanced the EFC process stability for those polymer formulations and thus can have important economic implications for processors.


2012 ◽  
Vol 134 (10) ◽  
Author(s):  
Zahir U. Ahmed ◽  
Roger E. Khayat

In order to understand the effects of inertia and gravity on draw resonance and on the physical mechanism of draw resonance in three-dimensional Newtonian film casting, a linear stability analysis has been conducted. An eigenvalue problem resulting from the linear stability analysis is formulated and solved as a nonlinear two-point boundary value problem to determine the critical draw ratios. Neutral stability curves are plotted to separate the stable/unstable domain in different appropriate parameter spaces. Both inertia and gravity stabilize the process and the process is more unstable to two- than to three-dimensional disturbances. The effects of inertia and gravity on the physical mechanism of draw resonance have been investigated using the eigenfunctions from the eigenvalue problem. A new approach is introduced in order to evaluate the traveling times of kinematic waves from the perturbed thickness at the take-up, which satisfies the same stability criterion illustrating the general stability of the system.


2006 ◽  
Author(s):  
R. German ◽  
R. E. Khayat

The influence of inertia on the stability of isothermal film casting of viscoelastic fluids is examined using a Phan-Thien and Tanner rheological model. The linear stability analysis for two-dimensional disturbances is carried out. The numerical results indicate that the flow can have single or double critical draw ratio depending on the model parameter. While in the former case the flow is stable below and unstable above a critical draw ratio, in the latter case the flow is stable below the lower and above the upper critical draw ratio and unstable between the two values. The inertia is found to have a stabilizing effect on the flow. It is also found that there is a region of Deborah number, where the inertia has a stronger stabilizing effect on stability of flow than elsewhere.


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