Application of continuation method for tracking steady-state contours in viscoelastic film blowing

Ilyoung Kwon; Hyun Wook Jung; Jae Chun Hyun

doi:10.1007/s13367-011-0014-6

Application of continuation method for tracking steady-state contours in viscoelastic film blowing

Ilyoung Kwon, Hyun Wook Jung, Jae Chun Hyun

Research output: Contribution to journal › Article › peer-review

Abstract

Pseudo arc-length continuation scheme has been implemented in Newton's numerical method for effectively solving complicated steady-states in viscoelastic film blowing processes. Various steady contours in both isothermal and nonisothermal cases with fixed freeze-line height have been obtained under constant bubble pressure or constant tension conditions. It turns out that the incorporation of single continuation equation into governing equation set is very efficient to successively track solutions with multiplicity.

Original language	English
Pages (from-to)	113-117
Number of pages	5
Journal	Korea Australia Rheology Journal
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/s13367-011-0014-6
Publication status	Published - 2011 Jun

Keywords

Film blowing
Newton's method
PTT viscoelastic fluid
Pseudo arc-length continuation

ASJC Scopus subject areas

General Materials Science
Condensed Matter Physics

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10.1007/s13367-011-0014-6

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abstract = "Pseudo arc-length continuation scheme has been implemented in Newton's numerical method for effectively solving complicated steady-states in viscoelastic film blowing processes. Various steady contours in both isothermal and nonisothermal cases with fixed freeze-line height have been obtained under constant bubble pressure or constant tension conditions. It turns out that the incorporation of single continuation equation into governing equation set is very efficient to successively track solutions with multiplicity.",

keywords = "Film blowing, Newton's method, PTT viscoelastic fluid, Pseudo arc-length continuation",

author = "Ilyoung Kwon and Jung, {Hyun Wook} and Hyun, {Jae Chun}",

year = "2011",

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AU - Jung, Hyun Wook

AU - Hyun, Jae Chun

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N2 - Pseudo arc-length continuation scheme has been implemented in Newton's numerical method for effectively solving complicated steady-states in viscoelastic film blowing processes. Various steady contours in both isothermal and nonisothermal cases with fixed freeze-line height have been obtained under constant bubble pressure or constant tension conditions. It turns out that the incorporation of single continuation equation into governing equation set is very efficient to successively track solutions with multiplicity.

AB - Pseudo arc-length continuation scheme has been implemented in Newton's numerical method for effectively solving complicated steady-states in viscoelastic film blowing processes. Various steady contours in both isothermal and nonisothermal cases with fixed freeze-line height have been obtained under constant bubble pressure or constant tension conditions. It turns out that the incorporation of single continuation equation into governing equation set is very efficient to successively track solutions with multiplicity.

KW - Film blowing

KW - Newton's method

KW - PTT viscoelastic fluid

KW - Pseudo arc-length continuation

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ER -

Application of continuation method for tracking steady-state contours in viscoelastic film blowing

Abstract

Keywords

ASJC Scopus subject areas

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