In this study, we investigate the linear and weakly nonlinear stability of a liquid film flowing down an inclined plane with insoluble surfactant. First, evolution equations thickness surfactant concentration are derived using long-wave expansion method at moderate Reynolds number (0 < Re ≤ 20). The flow is examined normal-mode method, criterion critical Rec obtained. results reveal dest...

Nonlinear dynamics of patterns near the threshold long-wave monotonic Marangoni instability conductive state in a heated thin layer liquid covered by insoluble surfactant is considered. Pattern selection between roll and square planforms analyzed. The dependence pattern stability on heat transfer from free surface characterized Biot number gravity described Galileo at different concentrations s...

Title of dissertation: THE EFFECT OF SURFACTANT VAPOR ON MARANGONI CONVECTION IN ABSORPTION AND CONDENSATION Zhe Yuan, Doctor of Philosophy, 2005 Dissertation directed by: Dr. Keith E. Herold, Associate Professor, Department of Mechanical Engineering Mass and heat transfer enhancement by the addition of a class of surfactant additives is in common use in absorption machines based on aqueous lit...

This paper presents an experimental study on thin liquid drops and films under the combined action of centrifugal forces due to rotation and radial Marangoni forces due to a corresponding temperature gradient. We shall examine thinning of a given liquid layer both with and without rotation and also consider the onset of the fingering instability in a completely wetting liquid drop. In many of t...

We report a remarkably rapid method for assembling pristine graphene platelets into a large area transparent film at a liquid surface. Some 2-3 layer pristine graphene platelets temporally solvated with N-methyl-2-pyrrolidone (NMP) are assembled at the surface of a dilute aqueous suspension using an evaporation-driven Rayleigh-Taylor instability and then are driven together by Marangoni forces....

The spreading dynamics of surfactant-laden droplets have been studied for both solid and thin liquid substrates. In general, the presence of a surfactant modifies the contact line dynamics due to the Marangoni effect, which creates a surface tension gradient and thus generates pattern-forming instabilities. To determine the effects of varying substrate mobility from a liquid to a solid, we exam...

The effect of an insoluble surfactant on the stability of the core–annular flow of two immiscible fluids is investigated by a normal-mode linear analysis and by numerical simulations based on the immersed-interface method for axisymmetric perturbations. The results reveal that, although the Marangoni stress due to surfactant concentration variations is unable to initiate a new type of instabili...