THERMAL SCIENCE

International Scientific Journal

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F. Mohammadi

,

Mohammad Mehdi Rashidi

AN EFFICIENT SPECTRAL SOLUTION FOR UNSTEADY BOUNDARY-LAYER FLOW AND HEAT TRANSFER DUE TO A STRETCHING SHEET

ABSTRACT
In this paper, an efficient spectral collocation method based on the shifted Legendre polynomials is applied to study the unsteady boundary-layer flow and heat transfer due to a stretching sheet. A similarity transformation is used to reduce the governing unsteady boundary-layer equations to a system of non-linear ordinary differential equations. Then, the shifted Legendre polynomials and their operational matrix of derivative are used for producing an analytical approximate solution of this system of non-linear ordinary differential equations. The main advantage of the proposed method is that the need for guessing and correcting the initial values during the solution procedure is eliminated and a stable solution with good accuracy can be obtained by using the given boundary conditions in the problem. A very good agreement is observed between the obtained results by the proposed spectral collocation method and those of previously published ones.
KEYWORDS
nanouid, entropy generation, spectral collocation method, MHD flow, Shifted Legendre polynomials, rotating porous disk
PAPER SUBMITTED: 2015-03-29
PAPER REVISED: 2015-06-10
PAPER ACCEPTED: 2015-06-24
PUBLISHED ONLINE: 2015-07-03
DOI REFERENCE: https://doi.org/10.2298/TSCI150329097M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 5, PAGES [2167 - 2176]
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An efficient spectral solution for unsteady boundary-layer flow and heat transfer due to a stretching sheet

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