THERMAL SCIENCE

International Scientific Journal

Sandile Sydney Motsa

,

Mohammad Sharifuddin Ansari

UNSTEADY BOUNDARY LAYER FLOW AND HEAT TRANSFER OF OLDROYD-B NANOFLUID TOWARDS A STRETCHING SHEET WITH VARIABLE THERMAL CONDUCTIVITY

ABSTRACT
This paper presents a time dependent boundary layer flow and heat transfer of an incompressible Oldroyd-B nanofluid past an impulsively stretching sheet. Heat transfer analysis is carried out by taking thermal conductivity as a function of temperature. The non-dimensionalized partial differential equations are solved using bivariate spectral quasi-linearization method). The employs the concept of quasi-linearization to obtain a linear system of partial differential equations which is subsequently solved using a spectral collocation method that uses bivariate Lagrange interpolating polynomials as basic functions. This method is found to converge rapidly and is very effective in yielding accurate results. Numerical results have been presented graphically to illustrate the details of flow and heat transfer characteristics and their dependence on some of the physical parameters.
KEYWORDS
variable thermal conductivity, nanofluid, Oldroyd B fluid, impulsive stretching sheet, bivariate spectral quasi-linearization method
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/TSCI15S1S39M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Supplement 1, PAGES [S239 - S248]
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Unsteady boundary layer flow and heat transfer of Oldroyd-B nanofluid towards a stretching sheet with variable thermal conductivity

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