Effects of Biomagnetic Interaction and Viscous Dissipation Parameter

In this study, the flow of a biomagnetic fluid with heat transfer over a sheet stretched with a non-linear velocity is studied subject to an applied magnetic field due to a magnetic dipole. This study mainly emphasizes on the properties of the biofluid flow considering two specified circumstances: one is the magnetic field and the other one is the non-linear velocity of the stretching sheet. Nevertheless, the magnetic field that has been produced by the dipole is strong enough to saturate the biomagnetic fluid flow. A non-linear system of ordinary differential equations has been introduced along with some appropriate boundary conditions. The physical formulation is consistent with the principles of Ferrohydrodynamics (FHD) and Magnetohydrodynamics (MHD). Through performing non-dimensionalization in the variables involved and then by solving them using a suitable dsolve routine in Maple software, graphical representations are produced to show how the flow properties vary with some dimensionless parameters. The parameters that have effects on them are the Prandtl number (Pr), the biomagnetic interaction parameter (B) and the nonlinear stretching parameter (n).