On Marangoni effects in a heated thin fluid layer with a monolayer surfactant. Part I: model development and stability analysis

摘要: We develop a model for surface tension driven flow induced by an insoluble surfactant monolayer on heated thin fluid layer. The mathematical is based perturbation analysis resulting involves coupling of and heat transfer to additional transport equation concentration the surface. stability this coupled system. characterize behaviour wave motion into four parametric regions linear analysis. A finite element formulation numerical studies in various regimes are given Part II