Journal of Molecular Liquids | 2019
Magnetized and non-magnetized two layer liquids: A Lie symmetry analysis
Abstract
Abstract It is well trusted that the physical believe subject to non-Newtonian fluid models in a magnetized frame always yield the complex mathematical equations and an exact solution in this direction seems impossible. Therefore, it remains challenging task for the researchers to report acceptable solutions. The current pagination contains a systemic remedy in this direction. To be more specific, the Carreau fluid flow towards flat surface is considered along with an externally applied magnetic field. The flow regime is manifested with pertinent physical believes namely, the heat source/sink and chemical reaction. The flow field is additionally supported with both the velocity and thermal slip effects. The Lie group of transformations is proposed for the present problem by means of group theoretic approach. The symmetry generator is constructed against developed Lie group of transformations. The characteristic equation subject to symmetry generator gives suitable set of variables. Such set of variables are used to step down the flow narrating differential equations in terms of an independent variables. Further, the reduced system is solved by numerical algorithm and the observations are offered by way of graphs. It is observed that the Carreau fluid velocity is suppressed for the case of magnetized flow field as compared to non-magnetized Carreau flow field. Further, the temperature of flow regime is higher in strength when the heat source is present. Finally, the results are validated by constructing comparison with an existing work.