Darcy-Benard double diffusive Marangoni convection with Soret effect in a composite layer system

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Authors :

R. Sumithra 1 , B. Komala 2* , N. Manjunatha 3

Author Address :

1 Department of UG, PG Studies and Research in Mathematics, Government Science College (Autonomous), Bengaluru, Karnataka, India.
2* School of Engineering, Dayananda Sagar University, Bengaluru, Karnataka, India.
3 School of Applied Sciences, REVA University, Bengaluru, Karnataka, India.

*Corresponding author.

Abstract :

The effect of Soret parameter on double diffusive Marangoni convection in a two-layer system, comprising an incompressible two component fluid saturated porous layer over which lies a layer of the same fluid under micro gravity condition is investigated analytically. The upper boundary of the fluid layer is free, the lower boundary of the porous layer is rigid and both the boundaries are insulating to heat and mass. At the interface, the velocity, shear stress, normal stress, heat, heat flux, mass and mass flux are assumed to be continuous. Thermal Marangoni number is obtained by solving ordinary differential equations using method of exact solution. The effect of different physical parameters on double diffusive Marangoni convection are also investigated in detail.

Keywords :

Double Diffusive Marangoni Convection, Soret Effect, Thermal Marangoni Number.

DOI :

10.26637/MJM0804/0023

Article Info :

Received : May 14, 2020; Accepted : August 29, 2020.