EFFECT ON UNIFORM AND NON UNIFORM TEMPERATURE GRADIENTS ON BENARD-MARANGONI CONVECTION IN A SUPERPOSED FLUID AND POROUS LAYER IN THE PRESENCE OF HEAT SOURCE

2020 ◽  
Vol 33 (02) ◽  
Author(s):  
MANJUNATHA N ◽  
Keyword(s):  
Heat Source ◽  
Porous Layer ◽  
Marangoni Convection ◽  
Temperature Gradients ◽  
Uniform Temperature

Combined effects of nonuniform temperature gradients and heat source on double diffusive Benard-Marangoni convection in a porous-fluid system in the presence of vertical magnetic field

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
N. Manjunatha ◽  
R. Sumithra ◽  
R.K. Vanishree
Keyword(s):  
Magnetic Field ◽  
Heat Source ◽  
Marangoni Number ◽  
Marangoni Convection ◽  
Fluid Layer ◽  
Temperature Gradients ◽  
Vertical Magnetic Field ◽  
Nonuniform Temperature ◽  
Fluid System ◽  
Double Diffusive

The physical configuration of the problem is a porous-fluid layer which is horizontally unbounded, in the presence of uniform heat source/sink in the layers enclosed by adiabatic and isothermal boundaries. The problem of double diffusive Bènard-Marangoni convection in the presence of vertical magnetic field is investigated on this porous-fluid system for non-Darcian case and is subjected to uniform and nonuniform temperature gradients. The eigenvalue, thermal Marangoni number is obtained in the closed form for lower rigid and upper free with surface tension velocity boundary conditions. The influence of various parameters on the Marangoni number against thermal ratio is discussed. It is observed that the heat absorption in the fluid layer and the applied magnetic field play an important role in controlling Benard-Marangoni convection. The parameters which direct this convection are determined and the effect of porous parameter is relatively interesting.

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