Unsteady Ferrofluid Slip Flow in the Presence of Magnetic Dipole with Convective Boundary Conditions

Abstract

In this research article a micropolar Ferrofluid is analyzed. The flow is unsteady over an impulsively stretch sheet under the impact of MHD (Magnetohydrodynamics). We analyzed in this research article the interaction between the hot Ferrofluid which is flowing over a low temperature surface under the influences of spatially varying magnetic field. Also the convective heating and slip condition is involved in this study. The problem is solved by Homotopy analysis method and the results are portrayed via graphs. Velocity field, Temperature profile, Skin fraction and Nusselt number for the Ferrofluid are discussed deeply through graphs. The problem is solved also numerically and the results are compared. Both results show an excellent agreement. These graphs shows the impression of numerous physical parameters like Hartmann number, Biot number, Prandtl number, Eckert number, magnetic field mixed convection parameter, radiation parameter over momentum profile, energy profile, Skin fraction and Local Nusselt constant. By increasing the slip factor damped the motion of the fluid due to which temperature of the fluid enhances, Skin fraction reduces, Heat transfer rate also reduces. During the work it is also observed that with the augmentation of the Hartmann number both velocity and temperature profiles of the ferrofluid reduced. Also it is noted that with the increase in Biot number the temperature profile, Skin fraction, Local Nusselt constant are increasing. With the increase of ratio of nano-particles to the base fluid results the fall down in velocity profile of ferrofluid, temperature profile, Skin fraction and heat transfer rate through the Ferrofluid over an elongating belt.