Double diffusive convection is considered in a semi-infinite domain, bounded below by a solid surface and above by a gas interface. Temperature and concentration gradients are imposed normal to the free surface and the linear stability of the fluid is examined. Traditional analyses are extended to include the effects of a deformable free surface. The governing equations are nondimensionalized and the parameter groupings are identified. We particularly focus on the effects of the capillary number, the Nusselt number and the Marangoni temperature and concentration numbers.

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