Abstract
The magnetohydrodynamic (MHD) boundary layer flow of a nanofluid past a stretching/shrinking sheet with velocity, thermal, and solutal slip boundary conditions is studied. Numerical solutions to the governing equations were obtained using a shooting method. The skin friction coefficient and the local Sherwood number increase as the stretching/shrinking parameter increases. However, the local Nusselt number decreases with increasing the stretching/shrinking parameter. The range of the stretching/shrinking parameter for which the solution exists increases as the velocity slip parameter and the magnetic parameter increase. For the shrinking sheet, the skin friction coefficient increases as the velocity slip parameter and the magnetic parameter increase. For the stretching sheet, it decreases when the velocity slip parameter and the magnetic parameter increase. The local Nusselt number diminishes as the thermal slip parameter increases while the local Sherwood number decreases with increasing the solutal slip parameter. The local Nusselt number is lower for higher values of Lewis number, Brownian motion parameter, and thermophoresis parameter.
Highlights
The boundary layer flow over a stretching sheet is significant in applications such as extrusion, wire drawing, metal spinning, and hot rolling [1]
To complement the study of flow over a stretching sheet, Miklavcicand Wang [9] began the study of flow over a shrinking sheet in which they observed that the vorticity is not confined within a boundary layer and a steady flow cannot exist without exerting adequate suction at the boundary
Motivated by the above-mentioned studies, this paper aims at studying the MHD boundary layer flow of a nanofluid over a stretching/shrinking sheet with slip conditions and suction effect at the boundary
Summary
The boundary layer flow over a stretching sheet is significant in applications such as extrusion, wire drawing, metal spinning, and hot rolling [1]. To complement the study of flow over a stretching sheet, Miklavcicand Wang [9] began the study of flow over a shrinking sheet in which they observed that the vorticity is not confined within a boundary layer and a steady flow cannot exist without exerting adequate suction at the boundary. Motivated by the above-mentioned studies, this paper aims at studying the MHD boundary layer flow of a nanofluid over a stretching/shrinking sheet with slip conditions and suction effect at the boundary. The dependency of the local skin friction coefficient, Nusselt number, and Sherwood number on seven parameters, namely, the stretching/shrinking, velocity slip, thermal slip, concentration slip, magnetic, Brownian motion, and thermophoresis parameters, is the main focus of the present investigation. Numerical solutions are presented graphically and in tabular forms to show the effects of these parameters on the local Nusselt number and the local Sherwood number
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