Marangoni Instability of Thin Liquid Sheet
Abstract
The Marangoni instability of a thin liquid sheet driven by the surface tension gradient (due to variations of temperature or of mass concentration) is studied by means of a linear theory. It is found that the critical Marangoni number for the steady mode can be expressed by a simple function of the wavenumber when the two boundaries of the sheet are flat. When the surface deformations are taken into account, another type of instability may occur for small values of the Biot number. The effect of deviation of the surface tension coefficient from the mean value at the free surfaces and the resulting surface patterns made up by the surface deformations at small wavenumbers are also discussed.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 July 1986
 DOI:
 10.1143/JPSJ.55.2191
 Bibcode:
 1986JPSJ...55.2191F
 Keywords:

 Flow Stability;
 Fluid Films;
 Liquid Flow;
 Marangoni Convection;
 Interfacial Tension;
 Linear Equations;
 Surface Properties;
 Fluid Mechanics and Heat Transfer