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The Impact of Heat Source and Temperature Gradient on Brinkman–Bènard Triple-Diffusive Magneto-Marangoni Convection in a Two-Layer System

Authors :
null Yellamma
Manjunatha Narayanappa
Ramalingam Udhayakumar
Barakah Almarri
Sumithra Ramakrishna
Ahmed M. Elshenhab
Source :
Symmetry, Volume 15, Issue 3, Pages: 644
Publication Year :
2023
Publisher :
MDPI AG, 2023.

Abstract

The effect of a heat source and temperature gradient on Brinkman–Bènard Triple-Diffusive magneto-Marangoni (BBTDMM) convection in a two-layer system is investigated. The two-layer system is horizontally infinite and is surrounded on all sides by adiabatic boundaries. It is exposed to basic uniform and non-uniform temperature profiles and heat sources. The appropriate eigenvalues and thermal Marangoni numbers (TMNs), which depend on temperature and concentration, are obtained for the temperature profiles (TPs) for lower rigid and higher free boundaries with surface tension. The transformed system of ordinary differential equations is solved by using an exact technique. For all three TPs, the impact of significant relevant parameters on these eigenvalues, and hence on BBTDMM convection, are investigated versus the thermal ratio. It is observed that, by increasing the values of the modified internal Rayleigh number for the fluid layer and the solute Marangoni numbers, the Darcy number, and the viscosity ratio for the set of physical parameters chosen in the study, one can postpone BBTDMM convection. Higher values of the modified internal Rayleigh numbers for the porous layer augment BBTDMM convection.

Details

ISSN :
20738994
Volume :
15
Database :
OpenAIRE
Journal :
Symmetry
Accession number :
edsair.doi.dedup.....b448955990bacef7451e0e3248463e96
Full Text :
https://doi.org/10.3390/sym15030644