Evaporatively-driven Marangoni instabilities of volatile liquid films spreading on thermally conductive substrates

Pirouz Kavehpour, Ben Ovryn, Gareth H. McKinley

Research output: Contribution to journalArticle

77 Citations (Scopus)

Abstract

Laser confocal microscopy is used to non-invasively investigate the steady and unsteady evolution of viscous microdroplets on solid substrates. Three characteristic dynamical regimes of spreading drops (viscous-capillary, viscous-inertia-capillary, and inertia-capillary) are studied using this non-invasive optical technique. It is shown that the dynamics of each regime depend on the Ohnesorge number, Oh=μ/(ρRσ)1/2, and on the relative magnitudes of the droplet height, radius, compared with the capillary length, ℓcap=√σ/ρg. The power-law relationships between the extent of spreading and elapsed time that are extracted from the experiments are in excellent agreement with available analytical results. We also study the onset and evolution of surface instabilities of the slightly volatile liquid films as they spread across the thermally-conductive surfaces. When the fluid droplet is a volatile silicone oil and the surface is a smooth silicon wafer, an evaporatively-driven thermocapillary instability leads to onset of a time-dependent free surface motion. Below a certain critical thickness (∼20 μm), waves can be observed on the free surface of the film, and the confocal technique is used to measure the amplitude, the frequency, and non-linear evolution of these waves. We interpret these waves in terms of evaporatively-driven Marangoni instabilities induced by surface tension gradients close to the moving contact line. Experiments show that the amplitude and the critical onset thickness of the disturbances vary with the viscosity and the volatility of the liquid, and also with the surface roughness and thermal diffusivity of the substrate. The critical onset conditions for this evaporatively driven instability can be characterized by a dimensionless interfacial thermal resistance, R, which has to be larger than a critical value at the onset of instability. We also demonstrate that this evaporatively-driven Marangoni instability can be eliminated by reducing the volatility of the liquid or the thermal diffusivity of the substrate.

Original languageEnglish (US)
Pages (from-to)409-423
Number of pages15
JournalColloids and Surfaces A: Physicochemical and Engineering Aspects
Volume206
Issue number1-3
DOIs
StatePublished - Jul 9 2002
Externally publishedYes

Fingerprint

Liquid films
Substrates
liquids
volatility
Thermal diffusivity
thermal diffusivity
inertia
laser microscopy
Silicone Oils
Confocal microscopy
Liquids
silicones
thermal resistance
Silicon wafers
Heat resistance
caps
Silicones
diffusivity
Surface tension
electric contacts

Keywords

  • Evaporation
  • Marangoni instability
  • Optical techniques
  • Spreading viscous drop
  • Volatile films

ASJC Scopus subject areas

  • Colloid and Surface Chemistry
  • Physical and Theoretical Chemistry

Cite this

Evaporatively-driven Marangoni instabilities of volatile liquid films spreading on thermally conductive substrates. / Kavehpour, Pirouz; Ovryn, Ben; McKinley, Gareth H.

In: Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 206, No. 1-3, 09.07.2002, p. 409-423.

Research output: Contribution to journalArticle

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