## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### 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 nonlinear ordinary differential equations. Then, the shifted Legendre polynomials and their operational matrix of derivative are used for producing an aproximate solution for this system of nonlinear 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

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