Author(s)

Narayanappa Manjunatha¹, Ramakrishna Sumithra²

¹School of Applied Sciences, REVA University, Bengaluru, India.
²Department of Mathematics, Government Science College, Bengaluru, India.

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.

Triple Diffusive, Thermal Marangoni Convection, Composite Layer, Temperature Profiles

Manjunatha, N. and Sumithra, R. (2019) Effects of Non-Uniform Temperature Gradients on Triple Diffusive Marangoni Convection in a Composite Layer. Open Journal of Applied Sciences, 9, 640-660. doi: 10.4236/ojapps.2019.98052.