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 gradientsEffect of constant heat source / sink on single component Marango

R. Sumithra; R.K. Vanishree; N. Manjunatha

doi:10.26637/MJM0802/0002

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, Marangoni number.

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

R. Sumithra Department of UG, PG Studies & Research in Mathematics, Government Science College Autonomous, Bengaluru,Karnataka, India;
R.K. Vanishree Department of Mathematics, Maharani’s Science College for Women, Maharani Cluster University, Bengaluru, Karnataka, India; https://orcid.org/0000-0003-2844-5127
N. Manjunatha School of Applied Sciences, REVA University, Bengaluru, Karnataka, India. https://orcid.org/0000-0002-7076-7122

Pages: 306-313
Date Published: 01-04-2020
Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

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