Comparative analysis for partial slip flow of ferrofluid Fe3O4 nanoparticles in a semi-porous channel

Abstract

The present study develops the equations that govern a steady flow of ferrofluid in a semi-porous channel (SPC) under the effects of Lorentz force. Three different base fluids namely water, kerosene and blood and magnetite as ferroparticles are used in the analysis. These equations are modeled by using the Cartesian coordinate system with the help of Berman’s similarity transformation. The partial slip condition is also considered at the lower plate of the channel. Three different methods of solution, namely the method of homotopy analysis (HAM) (analytical technique), the method of differential transformation (DTM) (semi-numerical technique) and the method of Runge-Kutta (numerical technique), are used to achieve the solution of non-dimensional, non-linear ordinary differential equations. For HAM solution, the auxiliary parameter ħ delivers an effective way to regulate the convergence range of solution series whereas in DTM an approximation to the solution is obtained without any auxiliary parameter. The impact of Hartman and Reynolds number on the flow velocity are shown graphically and discussed. Finally, the comparison between the solution methods is given and found in very good agreement.

Keywords

• Ferrofluid
• Semi-porous channel
• Magnetohydrodynamic
• Velocity slip
• DTM
• HAM