Heat Transfer and MHD Flow of Micropolar Fluids in a Vertical Porous Channel

This paper aims to present complete analytic solution to fully developed electrically conducting micropolar fluid flow between two vertical porous parallel plates is studied in the presence of temperature dependent heat sources including the effect of frictional heating and in the presence of a magnetic field. Differential transform method (DTM) has been used to get accurate and complete analytic solution. The governing partial differential equations have been transformed by a similarity transformation into a system of ordinary differential equations, which are solved by an efficient mathematical technique (DTM). The velocity, microrotation and temperature profiles are shown and the influence of cross flow Reynolds number, local Hartmann number, namely micropolar parameter, dimensionless vertical distance and the Prandtl number on the heat transfer is discussed in detail. The validity of our solutions is verified by the numerical results (fourth-order Runge–Kutta method and shooting method).

کلیدواژه ها:

Analytical and numerical solution ، Boundary-layer ، Differential transform method ، Micropolar ، MHD