Magnetic dipole interactions with tangent hyperbolic ferromagnetic fluid over a moving plate: A numerical study

Abstract

The present study aims to numerically analyze a non-Newtonian-based ferrofluid for its heat transfer characteristics and flow properties. The non-Newtonian nature of the ferrofluid, coupled with the application of a magnetic field, induces heat dissipation, which is further modified by incorporating viscous dissipation effects into the mathematical model. The mathematical model utilized in this study is based on the classical dynamic equations governing fluid flow. Similarity transformations were applied to derive a system of coupled nonlinear ordinary differential equations (ODEs). The resulting system was efficiently solved using the numerical technique known as the Keller Box method (KBM). Graphical results illustrate that the strengthening of an external magnetic field disrupts the flow in non-Newtonian ferrofluid, primarily due to the Lorentz forces induced by thte applied magnetic field. Moreover, the magnetic field enhances the thermal conductivity of the TH-fluid, leading to an increased heat transfer rate at the surface of the sheet as well as within the boundary layer.