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NUMERICAL STUDY OF UNSTEADY AXISYMMETRIC FLOW AND HEAT TRANSFER IN CARREAU FLUID PAST A STRETCHED SURFACE

ABSTRACT
In this paper, we present the numerical results for the unsteady axisymmetric flow and heat transfer of Carreau fluid induced by time dependent permeable radially stretching surface. Numerical results are demonstrated for both shear thinning and shear thickening fluids. The time dependent non-linear PDE of the considered problem are reduced into non-linear ODE with the aid of suitable transformations. An effective numerical technique namely bvp4c function in MATLAB is employed to construct the numerical solutions of the transformed non-linear ODE for the velocity and temperature fields. Numerical computations of the local skin-friction coefficient and local Nusselt number are tabulated for steady and unsteady flows of shear thinning fluid as well as shear thickening fluid. It is worth mentioning that the magnitude of the skin friction coefficient and local Nusselt number for the steady flow is less than that for unsteady flow.
KEYWORDS
PAPER SUBMITTED: 2016-08-07
PAPER REVISED: 2017-03-31
PAPER ACCEPTED: 2017-05-20
PUBLISHED ONLINE: 2017-06-04
DOI REFERENCE: https://doi.org/10.2298/TSCI160807132K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE 6, PAGES [2859 - 2869]
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© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, 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