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NUMERICAL STUDY OF HEAT TRANSFER OF A MICROPOLAR FLUID THROUGH A POROUS MEDIUM WITH RADIATION

ABSTRACT
An efficient Spectral Collocation method based on the shifted Legendre polynomials was applied to get solution of heat transfer of a micropolar fluid through a porous medium with radiation. A similarity transformation is applied to convert the governing 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 approximate solution for this system of non-linear 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
PAPER SUBMITTED: 2015-09-18
PAPER REVISED: 2017-04-16
PAPER ACCEPTED: 2017-04-19
PUBLISHED ONLINE: 2017-05-06
DOI REFERENCE: https://doi.org/10.2298/TSCI150918105M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Issue 1, PAGES [557 - 565]
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