Effect of constant heat source / sink on single component Marangoni convection in a composite layer bounded by adiabatic boundaries in presence of uniform & non uniform temperature gradients
Authors :
R. Sumithra 1 , R.K. Vanishree 2 and N. Manjunatha 3 *
Author Address :
1 Department of UG, PG Studies & Research in Mathematics, Government Science College Autonomous, Bengaluru,Karnataka, India;
2 Department of Mathematics, Maharani’s Science College for Women, Maharani Cluster University, Bengaluru, Karnataka, India;
3 School of Applied Sciences, REVA University, Bengaluru, Karnataka, India.
*Corresponding author.
Abstract :
The Single component Marangoni convection is investigated in a composite layer, comprising of an incompressible single component fluid saturated porous layer over which lies a layer of same fluid with constant heat sources in both the layers. This composite layer is subjected to linear, parabolic and inverted parabolic temperature profiles. The upper boundary of the composite layer is free and the lower boundary is rigid and both the boundaries are adiabatic. A closed form solution is obtained for the thermal Marangoni numbers, which is an expression of various parameters. Effects of the physical parameters like porous parameter, Internal Rayleigh numbers in both the layers and thermal ratio on the thermal Marangoni Number investigated for all the three temperature profiles.
Keywords :
Heat source, Marangoni convection, Temperature profiles and Marangoni number.
DOI :
Article Info :
Received : December 10, 2019; Accepted : March 09, 2020.
