A Semi Analytical Study on Non-Linear Boundary Value Problem for MHD Fluid Flow with Chemical Effect

The Runge-Kutta method combined with the shooting technique is used to solve the numerical results of the theoretical model for the electrically conducting micropolar fluid through two parallel plates in the presence of a heat source or sink and first-order chemical reactions in the flow heat and mass transfer equations. This work encourages us to use the Homotopy analysis approach to develop semi-analytical solutions for dimensionless velocity, dimensionless microrotation, dimensionless temperature, and dimensionless concentration. The answers are used to produce the analytical approximations of the physical characteristics, such as the skin friction factor, Nusselt number, and Sherwood number. Additionally, tabular values for the physical parameters, such as the skin friction factor, Nusselt number, and Sherwood number, are provided. Graphs are also used to illustrate how characterizing parameters behave. We found a high correlation between the semi-analytical and numerical findings of this study when we compared our semi-analytical works with the earlier studies. Compared to the prior method, this approach to the model is simpler, and it may be readily extended to find semi-analytical solutions to other MHD and EMHD fluid flow issues in the physical sciences and engineering.