Coupled approach of analytical and numerical methods for shape prediction in sheet casting process

Kyung Sun Chae; Seong Jae Lee; Kyung Hyun Ahn; Seung Jong Lee

Korea-Australia Rheology Journal, Vol.13, No.3, 131-139, September, 2001

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Coupled approach of analytical and numerical methods for shape prediction in sheet casting process

Kyung Sun Chae, Seong Jae Lee^{1, †}, Kyung Hyun Ahn², and Seung Jong Lee²

Agency for Technology and Standards, Kwacheon 427-010, Korea
¹Department of Polymer Engineering, The University of Suwon, Suwon 445-743, Korea
²School of Chemical Engineering, Seoul National University, Seoul 151-742, Korea

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A coupled approach is proposed for the prediction of sheet profile in sheet casting process, which combines one-dimensional analytical method on planar elongational flow region and three-dimensional numerical method on the other region. The strategy is constructed from the observations that the flow domain of sheet casting process can be separated into two parts based on the flow kinematics. The flow field in the central region of sheet, over which the planar elongational flow dominates, is possibly replaced by one-dimensional analytical solution. Then only a partial flow domain near the edge region of sheet, where the flow kinematics cannot be described by the planar elongational flow itself, requires three-dimensional numerical simulation. Good agreement is observed between the coupled approach developed in this study and the full three-dimensional numerical simulation previously developed and reported by the authors. This coupled approach may have provided flexibility with low costs to accommodate a wide range of die sizes in sheet casting process.

Keywords:sheet casting process;analytical solution;planar elongational flow;numerical simulation;three-dimensional flow

[References]

Bird RB, Armstrong RC, Hassager O, Dynamics of Polymeric Liquids, Vol. 1. Fluid Mechanics, 2nd ed., John Wiley and Sons, New York, 101 (1987)
Canning K, Co A, J. Plastic Film Sheeting, 16, 188 (2001)
Chae KS, Lee MH, Lee SJ, Lee SJ, Korea-Aust. Rheol. J., 12(2), 107 (2000)
Debbaut B, Marchal JM, Z. Angew. Math. Phys., 46, 679 (1995)
Denn MM, Petrie CJS, Avenas P, AIChE J., 21, 791 (1975)
d'Halewyn S, Agassant JF, Demay Y, Polym. Eng. Sci., 30, 335 (1990)
Pearson JRA, Matovich MA, Ind. Eng. Chem. Fundam., 8, 605 (1969)
Schultz WW, J. Rheol., 31, 733 (1987)
Smith S, Stolle D, Simulation of draw resonance in film casting using a material description of motion, ANTEC'99, 255 (1999)
Song KS, Two dimensional numerical study on film casting process," MS thesis, Seoul National University, Korea (1993)
Werner E, Janocha S, Hopper MJ, Mackenzie KJ, in Encyclopedia of Polymer Science and Engineering, ed. by H.F. Mark et al., Vol. 12, Wiley-Interscience, New York, 193 (1988)
Yeow YL, J. Fluid Mech., 66, 613 (1974)

[Related Articles]

[1] Bird RB, Armstrong RC, Hassager O, Dynamics of Polymeric Liquids, Vol. 1. Fluid Mechanics, 2nd ed., John Wiley and Sons, New York, 101 (1987)

[2] Canning K, Co A, J. Plastic Film Sheeting, 16, 188 (2001)

[3] Chae KS, Lee MH, Lee SJ, Lee SJ, Korea-Aust. Rheol. J., 12(2), 107 (2000)

[4] Debbaut B, Marchal JM, Z. Angew. Math. Phys., 46, 679 (1995)

[5] Denn MM, Petrie CJS, Avenas P, AIChE J., 21, 791 (1975)

[6] d'Halewyn S, Agassant JF, Demay Y, Polym. Eng. Sci., 30, 335 (1990)

[7] Pearson JRA, Matovich MA, Ind. Eng. Chem. Fundam., 8, 605 (1969)

[8] Schultz WW, J. Rheol., 31, 733 (1987)

[9] Smith S, Stolle D, Simulation of draw resonance in film casting using a material description of motion, ANTEC'99, 255 (1999)

[10] Song KS, Two dimensional numerical study on film casting process," MS thesis, Seoul National University, Korea (1993)

[11] Werner E, Janocha S, Hopper MJ, Mackenzie KJ, in Encyclopedia of Polymer Science and Engineering, ed. by H.F. Mark et al., Vol. 12, Wiley-Interscience, New York, 193 (1988)

[12] Yeow YL, J. Fluid Mech., 66, 613 (1974)