Contribution of modified Homotopy analysis method on hydromagnetic layer of Casson fluid

Abstract

This study looks at how a non-Newtonian Casson fluid moves via porous inclined surfaces while taking thermal radiation and magnetic fields into account. To fully understand their influence on boundary layer temperature profiles, complex connections among the fluid, magnetic field and radiation are examined. The governing equations reduced to ordinary differential equations using a similarity transformation and these equations are then analytically solved using the Modified Homotopy Analysis Method (MHAM). This approach provides a comprehensive understanding of the non-linear flow behaviour, revealing the significant influence of surface magnetization and fluid properties on flow dynamics, heat transfer and skin friction. On comparing our analytical results with numerical solution, a satisfactory agreement is reached. The physical parameters involved in the model are illustrated graphically to show their impacts on the system. The result demonstrate the potential of magnetized surfaces in controlling fluid flow and heat transfer with simplifications for various engineering applications, including aerospace, chemical processing  and bio-medical devices. This study contributes to the development of innovative thermal management and fluid flow control solutions.