THERMAL SCIENCE

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Sandile Sydney Motsa

,

Isaac L. Animasaun

A NEW NUMERICAL INVESTIGATION OF SOME THERMO-PHYSICAL PROPERTIES ON UNSTEADY MHD NON-DARCIAN FLOW PAST AN IMPULSIVELY STARTED VERTICAL SURFACE

ABSTRACT
The behaviour of unsteady non-Darcian magnetohydrodynamic fluid flow past an impulsively started vertical porous surface is investigated. The effect of thermophoresis due to migration of colloidal particles in response to a macroscopic temperature gradient is taken into account. It is assumed that both dynamic viscosity and thermal conductivity are linear functions of temperature. The governing equations are non-dimensionalized by using suitable similarity transformation which can unravel the behaviour of the flow at short time and long time periods. A novel iteration scheme, called bivariate spectral local linearization method is developed for solving the corresponding systems of highly non-linear partial differential equations. The results of the numerical solutions obtained are presented graphically and analyzed for the effects of the various important parameters entering into the problem on velocity, temperature, and concentration field within the boundary layer.
KEYWORDS
bivariate Lagrange interpolation, variable thermal conductivity, unsteady flow, non-Darcian flow, impulsive stretching sheet, thermophoresis
PAPER SUBMITTED: 2014-10-10
PAPER REVISED: 2015-01-01
PAPER ACCEPTED: 2015-02-02
PUBLISHED ONLINE: 2015-08-02
DOI REFERENCE: https://doi.org/10.2298/TSCI15S1S49M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 1, PAGES [S249 - S258]
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A new numerical investigation of some thermo-physical properties on unsteady MHD non-Darcian flow past an impulsively started vertical surface

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence