Abstract
The aim of this paper is to investigate the boundary layer of ferrofluid flow induced by a permeable stretching sheet. Fluid is electrically non-conducting in the presence of non-uniform magnetic field. The governing non-linear partial differential equations are reduced to non-linear ordinary differential equations by applying a similarity transformation. Numerical solutions are obtained by using Maple. The effects of the magnetic field, the Reynolds number and the porosity on the velocity and thermal fields are investigated. The impact of the parameters on the skin friction and the local Nusselt number is numerically examined. The skin friction and heat transfer coefficients are decreasing with enhancing the stretching, the values of porosity and the ferromagnetic parameter.
Highlights
The steady, laminar boundary layer flows driven by moving boundaries are among the classical problems of theoretical fluid mechanics
The phenomenon of momentum transfer in viscous fluid flow past a steady sheet is a basic problem of laminar boundary layer flow, which was first investigated by Blasius [5] for uniform free stream using similarity transformations
Majeed et al [19] examined the case of ferrofluid flow over a stretching sheet along with applied magnetic field submerge with dipole effect
Summary
The steady, laminar boundary layer flows driven by moving boundaries are among the classical problems of theoretical fluid mechanics (see Schlichting [30]). The phenomenon of momentum transfer in viscous fluid flow past a steady sheet is a basic problem of laminar boundary layer flow, which was first investigated by Blasius [5] for uniform free stream using similarity transformations. Majeed et al [19] examined the case of ferrofluid flow over a stretching sheet along with applied magnetic field submerge with dipole effect. The impact of significant physical parameters like stretching parameter, ferromagnetic parameter, suction/injection parameter and Prandtl number is examined and presented graphically on the velocity and temperature profile
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