Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Journal articles
  4. Practical mapping of the draw resonance instability in film casting of Newtonian fluids
 
research article

Practical mapping of the draw resonance instability in film casting of Newtonian fluids

Bechert, Mathias Simon Daniel  
•
Schubert, Dirk W.
•
Scheid, Benoit
2015
European Journal of Mechanics - B/Fluids

The influence of viscosity and inlet velocity on the draw resonance instability of film casting processes is quantitatively analysed. By linear stability analysis of a Newtonian model including inertia and gravity effects, stability curves for different control parameter values are calculated numerically. For this purpose, we propose a scaling law which separates the fluidity, i.e. the reciprocal viscosity and the inlet velocity into two independent dimensionless parameters. This new scaling evidences a minimum of stability, separating two regimes of opposite behaviour: one for which increasing the inlet flow rate has a destabilizing effect due to viscosity and one for which increasing the inlet flow rate has a stabilizing effect due to gravity and inertia; increasing the fluidity has always a stabilizing effect. By fitting the stability curves with an appropriate postulated function, we are able to construct correlations between the critical draw ratio, the fluidity and the inlet velocity. For the first time regimes of negligible inertia or negligible gravity effects are revealed as well as a regime of unconditional stability. The proposed correlations for each of these regimes can further be used as an analytical solvable criterion for determining the onset of draw resonance in film casting.

  • Details
  • Metrics
Type
research article
DOI
10.1016/j.euromechflu.2015.02.005
Author(s)
Bechert, Mathias Simon Daniel  
Schubert, Dirk W.
Scheid, Benoit
Date Issued

2015

Published in
European Journal of Mechanics - B/Fluids
Volume

52

Start page

68

End page

75

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
LFMI  
Available on Infoscience
October 30, 2018
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/149525
Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés