Non-Darcian Benard Marangoni Convection in a superposed fluid-porous layer with temperature dependent heat source

R. Sumithra; R. K. Vanishree; Deepa R. Acharya

doi:10.26637/MJM0804/0155

Abstract

The investigation of Non-Darcian Benard Marangoni Convection (NDBMC) is carried out in a Superposed Fluid-Porous (SFP) layer, which consists of an incompressible, sparsely packed single component fluid saturated porous layer above which lies a layer of the same fluid, with temperature dependent heat sources in both the layers. The upper surface of the SFP layer is free with Marangoni effects depending on Temperature, where the lower surface of the SFP layer is rigid. The thermal Marangoni numbers are obtained in closed form for two sets of thermal boundaries set (i) Adiabatic-Adiabatic and set (ii) Adiabatic-Isothermal. Influence of temperature dependent heat source in terms of internal Rayleigh numbers, viscosity ratio, Darcy Number, thermal diffusivity ratio on NDBMC, is investigated in detail.

Keywords:

Darcy-Brinkman model, Superposed Fluid-Porous layer, Marangoni Convection, Temperature dependent heat source

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.
Deepa R. Acharya Department of UG, PG Studies & Research in Mathematics, Government Science College Autonomous, Bengaluru, Karnataka, India.

Pages: 2233-2242
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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