Onset of folding in plane liquid films

Alexander Yarin, B. M. Tchavdarov

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The onset of the folding effect characteristic of highly viscous liquid films (plane jets) slowly impinging on a wall is studied. Nonlinear quasi-one-dimensional equations are derived to describe the flow. In the linear approximation they reduce to the eigenvalue problem, whose solution predicts that instability (the onset of folding) sets in when the length of the film exceeds a critical value. The critical folding heights and the oscillation frequencies at the onset of instability are predicted as a function of flow parameters. Theoretical results are compared with Cruickshank's (1988) experimental data. Agreement is quite good only in the range of parameters where the quasi-one-dimensional approximation is applicable (thin films at the onset of folding).

Original languageEnglish
Pages (from-to)85-99
Number of pages15
JournalJournal of Fluid Mechanics
Volume307
Publication statusPublished - 1996 Jan 25
Externally publishedYes

Fingerprint

Liquid films
folding
liquids
Thin films
approximation
eigenvalues
oscillations
thin films

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Yarin, A., & Tchavdarov, B. M. (1996). Onset of folding in plane liquid films. Journal of Fluid Mechanics, 307, 85-99.

Onset of folding in plane liquid films. / Yarin, Alexander; Tchavdarov, B. M.

In: Journal of Fluid Mechanics, Vol. 307, 25.01.1996, p. 85-99.

Research output: Contribution to journalArticle

Yarin, A & Tchavdarov, BM 1996, 'Onset of folding in plane liquid films', Journal of Fluid Mechanics, vol. 307, pp. 85-99.
Yarin A, Tchavdarov BM. Onset of folding in plane liquid films. Journal of Fluid Mechanics. 1996 Jan 25;307:85-99.
Yarin, Alexander ; Tchavdarov, B. M. / Onset of folding in plane liquid films. In: Journal of Fluid Mechanics. 1996 ; Vol. 307. pp. 85-99.
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