Lie Group Analysis of Biomagnetic Nanofluid Flow Past a Stretching Sheet

In this paper, bio-magnetic nanofluid flow with a magnetic dipole has been studied for fluid flow and heat transfer under boundary layer theory. Blood-based ferromagnetic nanofluid is considered in this model. Thermophysical properties are obtained by applying the Tiwari-Das and Maxwell-Garnett nanofluid models. The Lie group similiarity transformation is a powerful mathematical technique to transfor partial differential equations (PDEs) into simpler forms, including ordinary differential equations (ODEs) which are typically easier to solve. The simplified resultant equations are then solved numerically using the shooting method in Mathematica symbolic software. In this study, the graphs illustrate the influence of physical parameters such as ferromagnetic interaction parameter, Hartmann number, stretching parameter, and suction parameter on fluid flow and heat transfer characteristics.