THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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F. Mohammadi

,

Mohammad Mehdi Rashidi

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
micropolar fluid, porous medium, spectral collocation method, Shifted Legendre polynomials
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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Numerical study of heat transfer of a micropolar fluid through a porous medium with radiation

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