Steady Marangoni Instability in a Fluid Layer with Insoluble Surfactant and Internal Heat Generation

摘要

The onset of Marangoni instability in a horizontal fluid layer on a rigid plate with a deformable free surface under the influences of insoluble surfactant and internal heat generation subject to a uniform heat flux is considered. The surface tension of the fluid is assumed to depend linearly on temperature and surfactant concentration. A closed form analytical solution for the steady marginal curves is obtained. The effects of various parameters namely the elasticity number, internal heating, Biot number and Crispation number are assessed. Internal heat generation and surface deformability have destabilizing effect while the heat transfer mechanism and surfactant distribution at the free surface show significant stabilizing effects.