Mathematical Modeling of Zone Drawing Process

Hyungsup Kim; Kwang Soo Cho; Byung-Chul Ji

Macromolecular Research, Vol.12, No.2, 206-212, April, 2004

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Mathematical Modeling of Zone Drawing Process

Hyungsup Kim^†, Kwang Soo Cho¹, and Byung-Chul Ji²

Department of Textile Engineering, Konkuk University, 1 Hwayang, Gwangjin, Seoul 143-701, Korea
¹School of Chemical Engineering, Seoul National University, San 56-1, Shinlim, Gwanak, Seoul 151-744, Korea
²Department of Dyeing and Finishing, Kyungpook National University, 1370 Sangyeok, Buk,Deagu 702-701, Korea

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To provide guidelines and a basic understanding of static and continuous zone drawing processes, we propose two different mathematical models in terms of the processing conditions and material parameters. Although the models are not finely tuned, because of assumptions made, they are still useful for the analysis of the process and for predicting the processibility.

Keywords:mathematical model;zone drawing.

[References]

Kamezawa M, Yamada M, Takayanagi M, J. Appl. Polym. Sci., 24, 1227 (1979)
Yamada K, Kamezawa M, Takayanagi M, J. Appl. Polym. Sci., 26, 49 (1981)
Kunugi T, Ito T, Hashimoto M, Ooishi M, J. Appl. Polym. Sci., 26, 213 (1981)
Kunugi T, Suzuki A, Hashimoto M, J. Appl. Polym. Sci., 26, 1951 (1981)
Takahashi T, Tanaka T, Kamei T, Okui N, Takahiro M, Umemoto S, Sakai T, Kobunshi Ronbunshu, 44, 65 (1988)
Takahashi T, Tanaka T, Okui N, Takahiro M, Umemoto S, Sakai T, Kobunshi Ronbunshu, 45, 201 (1988)
Kunugi T, Akayama I, Hashimoto M, Polymer, 23, 1193 (1982)
Kunugi T, Akayama I, Hashimoto M, Polymer, 23, 1199 (1982)
Kunigi T, Ikuta T, Hashimoto M, Matusaki K, Polymer, 23, 1983 (1982)
Suzuki A, Hosaka F, Kunugi T, Kobunshi Ronbunshu, 50, 93 (1993)
Kunugi T, Kawasumi T, Ito T, J. Appl. Polym. Sci., 40, 2101 (1990)
Suziki A, Hosaka F, Kunugi T, Kobunshi Ronbunshu, 49, 947 (1992)
Suzuki A, Endo A, Polymer, 38(12), 3085 (1997)
Suzuki A, Chen Y, Kunugi T, Polymer, 39(22), 5335 (1998)
Wu ZQ, Zhang AQ, Percec S, Jin S, Jing AJ, Ge JJ, Cheng SZD, Thermochim. Acta, 396(1-2), 87 (2003)
Barenblatt GI, Scaling, Self-Similarity, and Intermediate Asymptotics, Cambridge University Press, New York (1996)
Landau LD, Lifshitz EM, Mechanics, Pergamon Press, New York (1978)

[Related Articles]

[1] Kamezawa M, Yamada M, Takayanagi M, J. Appl. Polym. Sci., 24, 1227 (1979)

[2] Yamada K, Kamezawa M, Takayanagi M, J. Appl. Polym. Sci., 26, 49 (1981)

[3] Kunugi T, Ito T, Hashimoto M, Ooishi M, J. Appl. Polym. Sci., 26, 213 (1981)

[4] Kunugi T, Suzuki A, Hashimoto M, J. Appl. Polym. Sci., 26, 1951 (1981)

[5] Takahashi T, Tanaka T, Kamei T, Okui N, Takahiro M, Umemoto S, Sakai T, Kobunshi Ronbunshu, 44, 65 (1988)

[6] Takahashi T, Tanaka T, Okui N, Takahiro M, Umemoto S, Sakai T, Kobunshi Ronbunshu, 45, 201 (1988)

[7] Kunugi T, Akayama I, Hashimoto M, Polymer, 23, 1193 (1982)

[8] Kunugi T, Akayama I, Hashimoto M, Polymer, 23, 1199 (1982)

[9] Kunigi T, Ikuta T, Hashimoto M, Matusaki K, Polymer, 23, 1983 (1982)

[10] Suzuki A, Hosaka F, Kunugi T, Kobunshi Ronbunshu, 50, 93 (1993)

[11] Kunugi T, Kawasumi T, Ito T, J. Appl. Polym. Sci., 40, 2101 (1990)

[12] Suziki A, Hosaka F, Kunugi T, Kobunshi Ronbunshu, 49, 947 (1992)

[13] Suzuki A, Endo A, Polymer, 38(12), 3085 (1997)

[14] Suzuki A, Chen Y, Kunugi T, Polymer, 39(22), 5335 (1998)

[15] Wu ZQ, Zhang AQ, Percec S, Jin S, Jing AJ, Ge JJ, Cheng SZD, Thermochim. Acta, 396(1-2), 87 (2003)

[16] Barenblatt GI, Scaling, Self-Similarity, and Intermediate Asymptotics, Cambridge University Press, New York (1996)

[17] Landau LD, Lifshitz EM, Mechanics, Pergamon Press, New York (1978)