Thermocapillary control of rupture in thin viscous fluid sheets

B. S. Tilley, Mark Bowen

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We consider the evolution of a thin viscous fluid sheet subject to thermocapillary effects. Using a lubrication approximation we find, for symmetric interfacial deflections, coupled evolution equations for the interfacial profile, the streamwise component of the fluid velocity and the temperature variation along the surface. Initial temperature profiles change the initial flow field through Marangoni-induced shear stresses. These changes then lead to preferred conditions for rupture prescribed by the initial temperature distribution. We show that the time to rupture may be minimized by varying the phase difference between the initial velocity profile and the initial temperature profile. For sufficiently large temperature differences, the phase difference between the initial velocity and temperature profiles determines the rupture location.

Original languageEnglish
Pages (from-to)399-408
Number of pages10
JournalJournal of Fluid Mechanics
Volume541
DOIs
Publication statusPublished - 2005 Oct 25
Externally publishedYes

Fingerprint

viscous fluids
temperature profiles
Fluids
velocity distribution
lubrication
Temperature
shear stress
deflection
temperature gradients
flow distribution
temperature distribution
fluids
Lubrication
Shear stress
profiles
Flow fields
approximation
Temperature distribution
temperature

ASJC Scopus subject areas

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

Cite this

Thermocapillary control of rupture in thin viscous fluid sheets. / Tilley, B. S.; Bowen, Mark.

In: Journal of Fluid Mechanics, Vol. 541, 25.10.2005, p. 399-408.

Research output: Contribution to journalArticle

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