| Summary: | This article uses a new semi-analytical technique to solve the heat and mass transfer problem. The problem is a viscous, incompressible, laminar axisymmetric flow of a micropolar fluid with presence of magnetic field is considered between two stretchable disks. The governing parameters of the problem can be described better when similarity transformation is utilized to convert a set of nonlinear PDEs into a nonlinear system of ordinary differential equations (ODEs). The effect of different parameters such as radiation parameter, magnetic field, Eckert number, Reynolds number, Schmidt number, and Prandtl number on the profiles of microrotation, velocity, concentration, and temperature are shown with the corresponding graphs. To investigate the validity of this method, the obtained figures have been compared with the graphs that obtained from the numerical method of Runge Kutta and the semi-analytical techniques of the homotopy perturbation method (HPM) that was published earlier. The average error between HAN method and HPM method, for radial velocity is 3.1%, for axial velocity is 0.69%. The comparisons show that the method has high accuracy and efficiency and can be used in many engineering and thermal problems that have nonlinear differential equations.
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