Onset of marangoni convection in an initially quiescent spherical droplet subjected to the transient heat conduction

Abstract

The onset of Marangoni convection in an initially quiescent spherical droplet subjected to the impulsive change in boundary temperature is analyzed under the linear theory. For this system in which instabilities are driven by interface-tension gradients, a stability analysis on regular cell modes is conducted on the basis of the propagation theory we have developed. The present stability analysis predicts that τ c decreases with increasing Ma. For the limiting case of τ →0, the present study approaches the planar limit as expected.

Onset of Marangoni convection for evaporating liquids with spherical interfaces and finite boundaries

“…The geometry of the system in the funnel experiments [1,2,4] is sufficiently different from flat sheets that a stability analysis is required to explain the observed results. Marangoni convection in evaporating droplets with spherical interfaces has been investigated previously [13,15,16], but the geometry in these studies is for entire spherical droplets with no angular bounding.…”