Abstract
The transient behavior and stability of film blowing have been investigated solving the governing equations consisting of the movingboundary partial differential equations. Incorporating an orthogonal collocation on finite elements and a coordinate transformation, a new numerical scheme was devised to obtain previously unavailable transient solutions. The scheme overcomes severe numerical problems, that are encountered especially when the process is in a periodic oscillation called draw resonance. These simulation results provide, for the first time, temporal pictures which are close to those observed experimentally, and enable a systematic analysis of the process as regards its stability, multiplicity, sensitivity and stabilization strategies.
Original language | English |
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Pages (from-to) | 157-162 |
Number of pages | 6 |
Journal | Journal of Non-Newtonian Fluid Mechanics |
Volume | 121 |
Issue number | 2-3 |
DOIs | |
Publication status | Published - 2004 Aug 20 |
Bibliographical note
Funding Information:This study was supported by research grants from the Korea Science and Engineering Foundation (KOSEF) through the Applied Rheology Center (ARC), an official KOSEF-created engineering research center (ERC) at Korea University, Seoul, Korea.
Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
Keywords
- Coordinate transformation
- Draw resonance
- Film blowing
- Linear stability analysis
- Multiplicity of steady states
- Orthogonal collocation
- Stability diagram
- Transient response
ASJC Scopus subject areas
- General Chemical Engineering
- General Materials Science
- Condensed Matter Physics
- Mechanical Engineering
- Applied Mathematics