1998
DOI: 10.1016/s0377-0257(98)00119-0
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Stationary and stability analysis of the film casting process

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Cited by 88 publications
(82 citation statements)
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“…Silagy et al investigated the stability of the cast of film process using different constitutive equations. A membrane model has been considered and both linear stability analysis and direct numerical simulation have been employed [5]. In that case, increasing the drawing distance stabilizes the process.…”
Section: Figure 1 (A) Schematic Of the Coating Process (B) Half Flomentioning
confidence: 99%
See 1 more Smart Citation
“…Silagy et al investigated the stability of the cast of film process using different constitutive equations. A membrane model has been considered and both linear stability analysis and direct numerical simulation have been employed [5]. In that case, increasing the drawing distance stabilizes the process.…”
Section: Figure 1 (A) Schematic Of the Coating Process (B) Half Flomentioning
confidence: 99%
“…Interface with air is determined by successive iterations of Newton-Raphson's method (by adjusting the position of the nodes on the interface) to satisfy the kinematic interface transient equation given by: ( 5 ) 050004-2 where is the velocity vector at interface and h is the interface position. This strategy is relatively precise but it is unable to describe transient evolution of the interface.…”
Section: Tracking Strategymentioning
confidence: 99%
“…-The membrane model is then enriched to capture both development of the dog bone defect and neck-in by considering thickness and mean velocities in stretching and transverse directions to be functions of x and y (e(x,y), u(x,y) and v(x,y)). Direct numerical simulation was used by Silagy et al, (1998). Figure 13 shows the thickness as a function of time for increasing values of the Draw ratio after introducing at t=0 a small arbitrary perturbation of the steady flow (A= 0.5).…”
Section: Influence Of the Neck-in Phenomenonmentioning
confidence: 99%
“…This is not a mathematical artifact and an US patent has been applied (Chambon et al, 1998) to draw films in these super-stable conditions. Silagy et al (1998) and Kim et al (2005) coupled the UCM model with a 2D membrane model accounting for width and thickness reduction. Kim et al (2005) computed the transient thickness and width responses to small perturbations using a time-space numerical scheme.…”
Section: Influence Of the Rheologymentioning
confidence: 99%
“…This frequently used model was capable of predicting the dog-bone effect under the stationary conditions. Silagy et al [14] continued and enriched membrane model by a supplementary kinematic hypothesis, which was originally brought Narayanaswamy [15] in his paper on float glass stretching, and carried out the extent isothermal study on the process condition and stability of EFC [16,17]. There has also been done a considerable amount of work on EFC under the non-isothermal conditions by Lamberti et al [18][19][20], Lamberti and Titomanlio [21][22][23][24], and Titomanlio [25].…”
Section: Introductionmentioning
confidence: 99%