Effects of uniform and non - uniform heat profiles on Darcy - Benard - Marangoni Convection in a composite layer comprising of couple stress fluid

R. Sumithra; Shyamala Venkatraman

doi:10.26637/MJM0804/0153

Abstract

The single component Darcy-Benard-Marangoni convection (DBMC) is investigated in a composite layer, comprising of an incompressible couple stress fluid. The upper boundary of the composite layer is free and the lower boundary is rigid. Both the boundaries of the composite layer are set under adiabatic condition. The eigen value problem is solved using exact technique considering the three heat profiles linear, Parabolic as well as inverted parabolic and respective expressions for Thermal Marangoni number (TMN) are obtained analytically for the Darcy model. The impact of various factors like couple stress parameters, thermal ratio, viscosity ratio, porous parameter and the horizontal wave number are graphically illustrated for all the three heat profiles.

Keywords:

Marangoni convection, Couple Stress Fluid, Thermal Marangoni Number, Parabolic and Inverted Parabolic Heat Profiles

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.
Shyamala Venkatraman Department of UG, PG Studies & Research in Mathematics, Government Science College Autonomous, Bengaluru, Karnataka, India.

Pages: 2215-2227
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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