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

Abstract

The problem of triple diffusive Marangoni convection is investigated in a composite layer comprising an incompressible three component fluid saturated, sparsely packed porous layer over which lies a layer of the same fluid. The lower rigid surface of the porous layer and the upper free surface are considered to be insulating to temperature, insulating to both salute concentration perturbations. At the upper free surface, the surface tension effects depending on temperature and salinities are considered. At the interface, the normal and tangential components of velocity, heat and heat flux, mass and mass flux are assumed to be continuous. The resulting eigenvalue problem is solved exactly for linear, parabolic and inverted parabolic temperature profiles and analytical expressions of the thermal Marangoni number are obtained. The effects of variation of different physical parameters on the thermal Marangoni numbers for the profiles are compared.

Two Component Benard-Marangoni Convection in a Composite System Subjected to Variable Heat Source

“…Following Sumithra and Manjunatha (2018) the method of infinitesimal pertubations are superim-posed and the governing equations are nondimensionalized by choosing suitable scaling parameters after linearization (see Manjunatha and Sumithra (2018)). The time derivative can be removed from the perturbed dimensionless equations since the concept of exchange of stability holds for the provided composite system.…”

Triple Diffusive Surface Tension Driven Convection in a Composite Layer in the Presence of Vertical Magnetic Field

“…For the composite layers, Sumithra [9] has studied the triple-diffusive Marangoni convection in a two layer system and obtained the analytical expression for the thermal Marangoni Number. Manjunatha and Sumithra [3][4][5][6] have investigated the combined effects of magnetic field and non uniform basic temperature gradients on two and three component convection in two layer system. In this paper the lower rigid surface of the porous layer and the upper free surface are considered to be insulating to temperature, insulating to both salute concentration perturbations.…”

Effects of Non-uniform Temperature Gradients on Triple Diffusive Surface Tension Driven Magneto Convection in a Composite Layer

“…For the composite layers, Manjunatha and Sumithra [15,16,17] are investigated the combined effects of magnetic field and non-uniform basic temperature gradients on two and three component convection in two layer system.…”