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http://dx.doi.org/10.14317/jami.2022.099

INFLUENCE OF CONSTANT HEAT SOURCE/SINK ON NON-DARCIAN-BENARD DOUBLE DIFFUSIVE MARANGONI CONVECTION IN A COMPOSITE LAYER SYSTEM  

MANJUNATHA, N. (Department of Mathematics, School of Applied Sciences, REVA University)
SUMITHRA, R. (Department of UG, PG Studies & Research in Mathematics, Government Science College Autonomous)
VANISHREE, R.K. (Department of Mathematics, Maharani's Science College for Women, Maharani's Cluster University)
Publication Information
Journal of applied mathematics & informatics / v.40, no.1_2, 2022 , pp. 99-115 More about this Journal
Abstract
The problem of Benard double diffusive Marangoni convection is investigated in a horizontally infinite composite layer system consisting of a two component fluid layer above a porous layer saturated with the same fluid, using Darcy-Brinkman model with constant heat sources/sink in both the layers. The lower boundary of the porous region is rigid and upper boundary of the fluid region is free with Marangoni effects. The system of ordinary differential equations obtained after normal mode analysis is solved in closed form for the eigenvalue, thermal Marangoni number for two types of thermal boundary combinations, Type (I) Adiabatic-Adiabatic and Type (II) Adiabatic -Isothermal. The corresponding two thermal Marangoni numbers are obtained and the essence of the different parameters on non-Darcy-Benard double diffusive Marangoni convection are investigated in detail.
Keywords
Heat source/sink; double diffusive convection; composite layer; Adiabatic-Adiabatic; Adiabatic-Isothermal; depth ratio;
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