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Effects of parabolic and inverted parabolic temperature gradients on magneto marangoni convection in a composite layer

Author: 
Sumithra, R. and Manjunatha, N.
Subject Area: 
Physical Sciences and Engineering
Abstract: 

The problem of Magneto-Marangoni-convection is investigated in a two layer system comprising an incompressible electrically conducting fluid saturated porous layer over which lies a layer of the same fluid in the presence of a vertical magnetic field. The lower rigid surface of the porous layer and the upper free surface are considered to be insulating to temperature perturbations. At the upper free surface, the surface tension effects depending on temperature are considered. At the interface, the normal and tangential components of velocity, heat and heat flux are assumed to be continuous. The resulting eigenvalue problem is solved exactly for both parabolic and inverted parabolic temperature profiles and analytical expressions of the Thermal Marangoni Number are obtained. Effects of variation of different physical parameters on the Thermal Marangoni Number for both profiles are compared.

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