The influence of inertia and contact angle on the instability of partially wetting liquid strips: a numerical analysis study

Sebastián Ubal, Paul Grassia, Diego M. Campana, Maria D. Giavedoni, Femando A. Saita

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The stability of a thread of fluid deposited on a flat solid substrate is studied numerically by means of the Finite Element Method in combination with an Arbitrary Lagrangian-Eulerian technique. A good agreement is observed when our results are compared with predictions of linear stability analysis obtained by other authors. Moreover, we also analysed the influence of inertia for different contact angles and found that inertia strongly affects the growth rate of the instability when contact angles are large. By contrast, the wave number of the fastest growing mode does not show important variations with inertia. The numerical technique allows us to follow the evolution of the free surface instability until comparatively late stages, where the filament begins to break into droplets. The rupture pattern observed for several cases shows that the number of principal droplets agrees reasonably well with an estimation based on the fastest growing modes.
LanguageEnglish
Article number032106
Number of pages14
JournalPhysics of Fluids
Volume26
Issue number3
Early online date19 Mar 2014
DOIs
Publication statusPublished - 2014

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inertia
wetting
numerical analysis
strip
liquids
threads
filaments
finite element method
fluids
predictions

Keywords

  • surface tension
  • inertia
  • viscosity
  • fluid drops
  • liquid strips

Cite this

Ubal, Sebastián ; Grassia, Paul ; Campana, Diego M. ; Giavedoni, Maria D. ; Saita, Femando A. / The influence of inertia and contact angle on the instability of partially wetting liquid strips : a numerical analysis study. In: Physics of Fluids. 2014 ; Vol. 26, No. 3.
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The influence of inertia and contact angle on the instability of partially wetting liquid strips : a numerical analysis study. / Ubal, Sebastián; Grassia, Paul; Campana, Diego M.; Giavedoni, Maria D.; Saita, Femando A.

In: Physics of Fluids, Vol. 26, No. 3, 032106, 2014.

Research output: Contribution to journalArticle

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AU - Saita, Femando A.

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N2 - The stability of a thread of fluid deposited on a flat solid substrate is studied numerically by means of the Finite Element Method in combination with an Arbitrary Lagrangian-Eulerian technique. A good agreement is observed when our results are compared with predictions of linear stability analysis obtained by other authors. Moreover, we also analysed the influence of inertia for different contact angles and found that inertia strongly affects the growth rate of the instability when contact angles are large. By contrast, the wave number of the fastest growing mode does not show important variations with inertia. The numerical technique allows us to follow the evolution of the free surface instability until comparatively late stages, where the filament begins to break into droplets. The rupture pattern observed for several cases shows that the number of principal droplets agrees reasonably well with an estimation based on the fastest growing modes.

AB - The stability of a thread of fluid deposited on a flat solid substrate is studied numerically by means of the Finite Element Method in combination with an Arbitrary Lagrangian-Eulerian technique. A good agreement is observed when our results are compared with predictions of linear stability analysis obtained by other authors. Moreover, we also analysed the influence of inertia for different contact angles and found that inertia strongly affects the growth rate of the instability when contact angles are large. By contrast, the wave number of the fastest growing mode does not show important variations with inertia. The numerical technique allows us to follow the evolution of the free surface instability until comparatively late stages, where the filament begins to break into droplets. The rupture pattern observed for several cases shows that the number of principal droplets agrees reasonably well with an estimation based on the fastest growing modes.

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