Interaction of Magnetic Dipole with the Ferrofluid Over a Stretching Sheet

Ferrofluid in Presence of Magnetic Dipol

Abstract

Our concern in this article is to examine the flow and heat transportation phenomenon of viscous ferrofluid in the presence of magnetic dipole over a stretching sheet. The enforced magnetic field is supposed to be strong enough to concentrate the ferrofluid whereas the fluid magnetization is assumed  to be a linear function for temperature and magnetic field intensity. The powerful tool of similarity transformation has been applied for simplification of the mathematical model and as a consequence, six parameters arise in the final model. Flow velocities as well as temperature distributions obtained under different conditions, by varying the governing parameters, are analyzed and discussed through tables and graphs. A graphical comparison is associated with the previously accomplished results and examined to be in an exceptional agreement. The culminations evidently disclose that the magnetic as well as ferrohydro dynamic parameter elevate the flow velocity. It is examined that the impact of prandtl number is to depress thermal  boundary  layer,  while  the  magnetic  parameter  enhances  the  shear     stress.