A semi-analytical investigation on the finite boundary value problem for the effects of Magnetohydrodynamic and non-Newtonian nanofluid flow

Abstract

The numerical results of the theoretical model for wire covering for third grade nanofluid flow (WC-TGNFF) are solved using the Runge-Kutta method. Non-dimensional ordinary differential equations (ODE’s) are created from the fundamental flow equations in partial differential equations (PDE’s) expressions for the aforementioned. This work pushes us to construct semi-analytical expressions for dimensionless temperature, dimensionless velocity, and dimensionless concentration using the Homotopy analysis approach. The behaviour of characterizing parameters is shown using graphs. When we compared our semi analytical work with the previous studies, we discovered a strong correlation between the semi-analytical and numerical results of this investigation. This approach to the model is more straightforward than the previous method, and it may easily be expanded to additional MHD and EMHD fluid flow problems in the engineering and physical sciences.