Group theoretical analysis for MHD flow fields: a numerical result

Abstract

The physical phenomena having inhomogeneity subject to both the Newtonian and non-Newtonian fluid models yield the complex structured mathematical equations. It is well known that the exact solution in this direction is impossible. Therefore, the current pagination contains a systematic approach to present numerical solution of non-Newtonian fluid model. To be specific, the nonlinear mathematical problem is developed with the aid of fundamental laws involved in the field of fluid science. A group theoretic approach is implemented, and the obtained Lie point of transformation is used to step down the mathematical equations in terms of independent variables. The resultant system is solved by using shooting method conjectured with Runge–Kutta scheme. The impacts of involved parameters, namely power law index, magnetic field parameter, Weissenberg number, Prandtl number, Schmidt number, velocity slip parameter and thermal slip parameter are examined on dimensionless quantities in both the magnetized and non-magnetized flow fields. The obtained observations in this regard are provided by way of graphs. It is noticed that the fluid velocity is lesser in magnitude in a magnetized frame as compared to non-magnetized flow field.