EFFECTS OF UNIFORM AND NON-UNIFORM TEMPERATURE GRADIENTS ON NON-DARCIAN-BENARD-MAGNETO-MARANGONI CONVECTION IN COMPOSITE LAYER IN THE PRESENCE OF CONSTANT HEAT SOURCE/SINK

2020 ◽  
Vol 33 (02) ◽  
Author(s):  
MANJUNATHA N ◽  
◽  
SUMITHRA R ◽  
2021 ◽  
Vol 17 (1) ◽  
pp. 7-15
Author(s):  
N Manjunatha ◽  
R Sumithra ◽  
R K Vanishree

The problem of Benard double diffusive Marangoni convection is investigated in a horizontally infinite composite layer system enclosed by adiabatic boundaries for Darcy model. This composite layer is subjected to three temperature gradients with constant heat sources in both the layers. The lower boundary of the porous region is rigid and upper boundary of the fluid region is free with Marangoni effects. The Eigenvalue problem of a system of ordinary differential equations is solved in closed form for the Thermal Marangoni number, which happens to be the Eigen value. The three different temperature profiles considered are linear, parabolic and inverted parabolic profiles with the corresponding thermal Marangoni numbers are obtained. The impact of the porous parameter, modified internal Rayleigh number, solute Marangoni number, solute diffusivity ratio and the diffusivity ratio on Darcy-Benard double diffusive Marangoni convection are investigated in detail.


2020 ◽  
Vol 32 (11) ◽  
pp. 113602
Author(s):  
U. S. Mahabaleshwar ◽  
K. R. Nagaraju ◽  
P. N. Vinay Kumar ◽  
Martin Ndi Azese

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