Notice of Retraction Spreading of soluble surfactant solutions over a thin aqueous layer on isothermal solid substrate

摘要: The spreading of a drop soluble surfactant over thin aqueous layer in the presence isothermal heating is considered. Use lubrication theory yields coupled pair partial differential equations for film thickness, surface and bulk concentrations. numerical results by PDECOL procedure show that droplet patterns are obtained under conditions underlying substrate. effects variation Marangoni parameter air-liquid Biot number examined. Decreasing leads to flatter peak longer time rupture. flattens thickness concentration profile drop. In all situations found rigidify interface, while thermal capillary acts destabilize film.