Applied Mathematics & Information Sciences

Author Country (or Countries)



Steady thermosolutocapillary instabilities in a horizontal thin fluid layer with deformable free surface and uniform temperature at the bottom boundary in the presence of insoluble surfactant and gravity force are examined. The surface tension at the free surface is assumed to be linearly dependent on temperature and concentration gradients. The linear stability theory and the Galerkin method are used to obtain the closed form solutions. The effects of the controlling parameters, namely the Rayleigh number, Biot number, Lewis number, and elasticity parameter on the onset of Marangoni convection are analyzed. The results show that the gravitational force acts as destabilizer while the presence of surfactant delays the onset of convection.

Digital Object Identifier (DOI)