10 Scopus citations

Abstract

We investigate the changes of shape of a stretching viscous sheet by controlling the forcing at the lateral edges, which we refer to as lateral shaping. We propose a one-dimensional model to study the dynamics of the viscous sheet and systematically address stability with respect to draw resonance. Two class of lateral forcing are considered: (i) for the case that the stress at the edges is specified, we show that a pure outward normal stress S n is usually unfavorable to the draw resonance instability as compared to the case of stress-free lateral boundaries. Alternatively, a pure streamwise tangential stress S t is stabilizing; (ii) for the case that the lateral velocity at the edges is specified, we show that the stability properties are problem specific but can be rationalized based on the induced stress components (S n,S t).

Original languageEnglish (US)
Pages (from-to)487-494
Number of pages8
JournalEuropean Physical Journal B
Volume68
Issue number4
DOIs
StatePublished - Apr 1 2009

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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