## THERMAL SCIENCE

International Scientific Journal

### 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

**THERMAL SCIENCE** YEAR

**2018**, VOLUME

**22**, ISSUE

**Issue 1**, PAGES [557 - 565]

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