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Numerical study of heat transfer of a micropolar fluid through a porous medium with radiation

Mohammadi Fakhrodin (University of Hormozgan, Department of Mathematics, Bandarabbas, Iran)
Rashidi Mohammad Mehdi (Tongji University, Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Jiading, Shanghai, China + ENN-Tongji Clean Energy Institute of advanced studies, Shanghai, China)

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