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

• Main Authors: Mohammadi Fakhrodin, Rashidi Mohammad Mehdi
• Format: Article
• Language: English
• Published: VINCA Institute of Nuclear Sciences 2018-01-01
• Series: Thermal Science
• Subjects: micropolar fluid; porous medium; spectral collocation method; shifted Legendre polynomials
• Online Access: http://www.doiserbia.nb.rs/img/doi/0354-9836/2018/0354-98361700105M.pdf

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.