Stability windows for draw resonance instability in two-dimensional Newtonian and viscoelastic film casting processes by transient frequency response method

Ilyoung Kwon, Hyun Wook Jung, Jae Chun Hyun

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Critical onsets for draw resonance instability occurring in two-dimensional (2-D) film casting processes with Newtonian and viscoelastic (Upper-Convected Maxwell and Phan-Thien and Tanner) fluids have been newly determined using a transient frequency response method. Under a constant tension condition, which guarantees always stable operation, the trajectory of a transfer function between the output take-up velocity and input tension in a Nyquist plot has been used as an indicator for finding draw resonance onsets. Various stability windows for Newtonian and viscoelastic fluids have been constructed, confirming that the onsets were well-predicted when compared with transient responses in actual velocity-controlled operating systems around the onsets. Interestingly, up-and-down stability patterns along the aspect ratio in the Newtonian cases were found to be closely related to the flow deformation features of the fluid elements within the film width. Dichotomous stability behaviors for extensional-thickening and extensional-thinning fluids were well addressed in the 2-D processes.

Original languageEnglish
Pages (from-to)34-43
Number of pages10
JournalJournal of Non-Newtonian Fluid Mechanics
Volume240
DOIs
Publication statusPublished - 2017 Feb 1

Fingerprint

Transient Response
transient response
Frequency Response
Casting
frequency response
Frequency response
Fluid
Fluids
fluids
Viscoelastic Fluid
Thinning
Newtonian Fluid
Operating Systems
Aspect Ratio
Transfer Function
Newtonian fluids
Transient analysis
transfer functions
Trajectory
Transfer functions

Keywords

  • Draw resonance
  • Frequency response
  • Nyquist plot
  • Stability window
  • Tension control
  • Transfer function
  • Two-dimensional viscoelastic film casting

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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title = "Stability windows for draw resonance instability in two-dimensional Newtonian and viscoelastic film casting processes by transient frequency response method",
abstract = "Critical onsets for draw resonance instability occurring in two-dimensional (2-D) film casting processes with Newtonian and viscoelastic (Upper-Convected Maxwell and Phan-Thien and Tanner) fluids have been newly determined using a transient frequency response method. Under a constant tension condition, which guarantees always stable operation, the trajectory of a transfer function between the output take-up velocity and input tension in a Nyquist plot has been used as an indicator for finding draw resonance onsets. Various stability windows for Newtonian and viscoelastic fluids have been constructed, confirming that the onsets were well-predicted when compared with transient responses in actual velocity-controlled operating systems around the onsets. Interestingly, up-and-down stability patterns along the aspect ratio in the Newtonian cases were found to be closely related to the flow deformation features of the fluid elements within the film width. Dichotomous stability behaviors for extensional-thickening and extensional-thinning fluids were well addressed in the 2-D processes.",
keywords = "Draw resonance, Frequency response, Nyquist plot, Stability window, Tension control, Transfer function, Two-dimensional viscoelastic film casting",
author = "Ilyoung Kwon and Jung, {Hyun Wook} and Hyun, {Jae Chun}",
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TY - JOUR

T1 - Stability windows for draw resonance instability in two-dimensional Newtonian and viscoelastic film casting processes by transient frequency response method

AU - Kwon, Ilyoung

AU - Jung, Hyun Wook

AU - Hyun, Jae Chun

PY - 2017/2/1

Y1 - 2017/2/1

N2 - Critical onsets for draw resonance instability occurring in two-dimensional (2-D) film casting processes with Newtonian and viscoelastic (Upper-Convected Maxwell and Phan-Thien and Tanner) fluids have been newly determined using a transient frequency response method. Under a constant tension condition, which guarantees always stable operation, the trajectory of a transfer function between the output take-up velocity and input tension in a Nyquist plot has been used as an indicator for finding draw resonance onsets. Various stability windows for Newtonian and viscoelastic fluids have been constructed, confirming that the onsets were well-predicted when compared with transient responses in actual velocity-controlled operating systems around the onsets. Interestingly, up-and-down stability patterns along the aspect ratio in the Newtonian cases were found to be closely related to the flow deformation features of the fluid elements within the film width. Dichotomous stability behaviors for extensional-thickening and extensional-thinning fluids were well addressed in the 2-D processes.

AB - Critical onsets for draw resonance instability occurring in two-dimensional (2-D) film casting processes with Newtonian and viscoelastic (Upper-Convected Maxwell and Phan-Thien and Tanner) fluids have been newly determined using a transient frequency response method. Under a constant tension condition, which guarantees always stable operation, the trajectory of a transfer function between the output take-up velocity and input tension in a Nyquist plot has been used as an indicator for finding draw resonance onsets. Various stability windows for Newtonian and viscoelastic fluids have been constructed, confirming that the onsets were well-predicted when compared with transient responses in actual velocity-controlled operating systems around the onsets. Interestingly, up-and-down stability patterns along the aspect ratio in the Newtonian cases were found to be closely related to the flow deformation features of the fluid elements within the film width. Dichotomous stability behaviors for extensional-thickening and extensional-thinning fluids were well addressed in the 2-D processes.

KW - Draw resonance

KW - Frequency response

KW - Nyquist plot

KW - Stability window

KW - Tension control

KW - Transfer function

KW - Two-dimensional viscoelastic film casting

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