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

2019 ◽  
Vol 09 (08) ◽  
pp. 640-660
Author(s):  
Narayanappa Manjunatha ◽  
Ramakrishna Sumithra
Keyword(s):  
Marangoni Convection ◽  
Composite Layer ◽  
Temperature Gradients ◽  
Uniform Temperature

scholarly journals Darcy-Benard double diffusive Marangoni convection in a composite layer system with constant heat source along with non uniform temperature gradients

2021 ◽  
Vol 17 (1) ◽  
pp. 7-15
Author(s):  
N Manjunatha ◽  
R Sumithra ◽  
R K Vanishree
Keyword(s):  
Marangoni Number ◽  
Marangoni Convection ◽  
Composite Layer ◽  
Lower Boundary ◽  
Temperature Gradients ◽  
Layer System ◽  
Constant Heat ◽  
The Impact ◽  
Double Diffusive ◽  
Diffusivity Ratio

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.

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