Contact line motion in axial thermocapillary outward flow

A. DOMINGUEZ TORRES; MAC INTYRE J. R.; GOMBA, J. M.; PERAZZO, CARLOS ALBERTO; CORREA, P. G.; LOPEZ VILLA, A.; A. MEDINA OVANDO

JOURNAL OF FLUID MECHANICS

CAMBRIDGE UNIV PRESS

Lugar: Cambridge; Año: 2020

0022-1120

We study the contact-line dynamics of a viscous droplet deposited at the centre of a substrate subject to an axial thermal gradient. The temperature of the substrate decreases with distance from the centre, so the Marangoni stress induced at the liquid-air interface displaces the liquid radially outward. The flow experiences two stages. In the first stage, the droplet evolves toward an axially symmetric ring whose radius increases with time as t1=3. Using the lubrication approximation, we perform numerical simulations that conrm this law for the motion of the front and show that the maximum thickness of the prole decreases as t^0:374. We explain the evolution law of the contact line bybalancing Marangoni and viscous stresses. In the second stage, the contact line becomes unstable and develops smooth corrugations whose amplitude increases with time and that eventually become long fingers. The temporal evolution of the Fourier spectra of the contour shows a shift of the most unstable mode from smaller to larger azimuthal wavenumbers.