Oscillatory Marangoni instability in a heated layer with insoluble surfactant adsorbed on the free surface

摘要

Graphical abstract The onset of surface-tension driven convection in a heated liquid layer with insoluble surfactant adsorbed on the free surface is analyzed in the framework of the linear stability theory. The limit of a deep layer is considered. The general dispersion relation is obtained and investigated analytically and numerically. Display Omitted Highlights ? The presence of insoluble surfactant changes the type of instability by heating from below. ? By heating from above, the region of oscillatory instability is diminished by the surfactant. ? The high-frequency prediction for the critical number is valid only for very large G.