MHD Forced Convection Laminar Boundary Layer Flow of Alumina-Water Nanofluid over a Moving Permeable Flat Plate with Convective Surface Boundary Condition

Abstract

This paper analyses a two-dimensional steady forced convection boundary layer viscous incompressible flow of alumina-water nanofluid over a moving permeable vertical flat plate under the effect of a magnetic field normal to the plate. Thermal convective surface boundary condition is applied. The nanofluid formulated in the present study is water dispersed with various volumetric fractions of the alumina (Al₂O₃) nanoparticles. The plate velocity and the free stream velocities are considered to be proportional to $x^{\mathrm{n}}$, while the magnetic field and suction velocities are taken to be proportional to ${(x)}^{(\mathrm{n}-1)/2}$. The similarity solution of the governing problem is obtained. Numerical studies are presented to show the effect of the nanoparticle volume fraction $\varphi ,$ the convective heat transfer parameter $b$, the power law exponent $n$, the wall velocity parameter $A$, and the suction parameter f_w on the velocity, temperature, skin-friction coefficient, and Nusselt number.