Abstract
A steady-state boundary layer flow analysis of a non-Newtonian magnetic fluid over a shrinking sheet was studied. The boundary layer thickness and the velocity distribution in the layer were studied under the conditions of a uniform magnetic field normal to the shrinking sheet and/or a vertical uniform mass suction across the sheet. The similarity transformation method was used to transform the governing partial differential equations to ordinary differential equations. The shooting method with Newton’s algorithm and Runge–Kutta integration method were used to obtain the solutions of the equations. The results showed that the variation of the flow velocity profiles in the boundary layer was significant, the thickness of the boundary layer was thinner, and the skin friction coefficient was bigger for either shear thinning or shear thickening magnetic fluids under the conditions of a stronger magnetic field or a larger mass suction effect.
Highlights
The fluid flow varies due to electromagnetic interference, if the fluid contains metal particles that belong to the scope of application of the conductive fluid
Yurusoy[4] found that boundary layer development is similar with Newtonian fluid under shear thinning conditions and the boundary layer thickness increases with the power parameters under shear thickening conditions
F00(h) is expressed as a dimensionless velocity gradient, and shows the distribution of shear stress suffered by the boundary layer
Summary
The fluid flow varies due to electromagnetic interference, if the fluid contains metal particles that belong to the scope of application of the conductive fluid. By the use of numerical methods, Andersson et al.[1] propose that magnetic field makes the boundary layer thin and increases skin friction. Chiam[2] explores numerical solution of velocity change impacted in the boundary layer in the transverse magnetic field and proves the initial condition values speculated by Crocce’s method inferred guess get closer. Andersson et al.[3] investigate the transient boundary layer velocity field. Stretched flat surface is obtained through numerical methods to derive solutions of transient parameters and power index. Yurusoy[4] found that boundary layer development is similar with Newtonian fluid under shear thinning conditions and the boundary layer thickness increases with the power parameters under shear thickening conditions
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