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Effects of Non-Uniform Temperature Gradients on Triple Diffusive Marangoni Convection in a Composite Layer

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Document pages: 21 pages

Abstract: The problem of triple diffusive Marangoni convection is investigated in acomposite layer comprising an incompressible three component fluid saturated,sparsely packed porous layer over which lies a layer of the same fluid. Thelower rigid surface of the porous layer and the upper free surface areconsidered to be insulating to temperature, insulating to both saluteconcentration perturbations. At the upper free surface, the surface tensioneffects depending on temperature and salinities are considered. At theinterface, the normal and tangential components of velocity, heat and heat flux,mass and mass flux are assumed to be continuous. The resulting eigenvalueproblem is solved exactly for linear, parabolic and inverted parabolictemperature profiles and analytical expressions of the thermal Marangoni numberare obtained. The effects of variation of different physical parameters on the thermalMarangoni numbers for the profiles are compared.

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