Title

EFFECTS OF NON-UNIFORM TEMPERATURE GRADIENTS
ON DOUBLE DIFFUSIVE MARANGONICONVECTION
IN A TWO LAYER SYSTEM

Authors

N. Manjunatha, R. Sumithra
School of Applied Sciences
REVA University
Bangalore, 560 064, INDIA
Bharathiar University
Coimbatore, 641 046, INDIA
Department of Mathematics
Government Science College
Bangalore, 560 001, INDIA

Abstract

The problem of surface tension driven double diffusive convection is investigated in a two-layer system with an incompressible two component fluid saturated porous layer above which lies a layer of the same fluid. The lower boundary of the porous layer is rigid and the upper boundary of the fluid layer is free with surface tension effects depending on both temperature and concentration / salinity. Both the boundaries are insulating to heat and mass. At the interface, the velocity, shear stress, normal stress, heat, heat flux, mass and mass flux are assumed to be continuous conducive for Darcy-Brinkman model. The resulting eigen value problem is solved for linear, parabolic, and inverted parabolic temperature profiles and analytical expressions for corresponding Thermal Marangoni Numbers are obtained. Effects of variation of important physical parameters on the Thermal Magangoni numbers are compared for the three temperature profiles. The most suitable temperature profiles for the situations wherein the convection has to be controlled and where in the convection is needed are found.

History

Received: 2017-04-19
Revised: 2017-10-13
Published: March 13, 2018

AMS Classification, Key Words

AMS Subject Classification: 76XX, 76Rxx, 76Sxx
Key Words and Phrases: surface tension, Marangoni convection, temperature profiles

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How to Cite?

DOI: 10.12732/ijpam.v118i2.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 118
Issue: 2
Pages: 203 - 220

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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