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 (Al_{2}O_{3}) nanoparticles. The plate velocity and the free stream velocities are considered to be proportional to _{w}

It is known that nanofluids can tremendously enhance the heat transfer characteristics of the original (base) fluid. Thus, nanofluids have many applications in industry such as coolants, lubricants, heat exchangers, and microchannel heat sinks. Therefore, numerous methods have been taken to improve the thermal conductivity of these fluids by suspending nano-/microsized particle materials in liquids. Several recent studies on the modeling of free/mixed convection heat transfer in nanofluids have been published: Congedo et al. [_{2}O_{3}-water nanofluid. Ho et al. [_{2}O_{3}/water nanofluid through the microchannel heat sink was presented by Lelea [

Heat transfer due to forced convection occurs in many areas. Examples include chemical process, biochemical process, and engineering. Its study is important due to the need to improve the efficiency of the heat transfer. Ali [

According to previous scholars, the MHD flow has received the attention of many researchers due to its engineering applications. In metallurgy, for example, some processes involve the cooling of many continuous strips by drawing them through an electrically conducting fluid subject to a magnetic field (Kandasamy and Muhaimin [

The aim of the present study is to analyze steady, two-dimension, laminar MHD forced convection flow of alumina-water nanofluid on moving permeable flat plate with convective surface boundary condition. The similarity representation of the partial differential equations governing this problem is obtained. The motivation of this study is to explore the influence of nanofluid parameters with the effect of suction, convective heat transfer, and velocity parameter. The variation distribution of the shear stress and heat transfer rates (the physical quantities of interest in this study) with the parameters governing the problem are presented.

Consider a two-dimensional forced convective flow of water-based alumina nanoparticles over a moving permeable flat plate. A rectangular coordinate frame is selected in which the

Flow configuration and coordinate system.

Here,

In the free stream,

It is noticed that the continuity equation (

The corresponding boundary conditions in (

The parameter

Here, we should mention that if

If

The parameters of engineering interest for the problem are the skin friction

The transformed system of nonlinear ordinary differential equations (

To exhibit the effects of various values of the power law exponent _{2}O_{3}-water), keeping the other parameters fixed (

Figure

Figure

Effects of the velocity parameter

Figure

Figures

In this paper, we have studied the problem of heat transfer in MHD forced convection flow of alumina-water nanofluid over moving permeable vertical flat plate with convective surface boundary condition. New similarity transformations have been presented and solved numerically. It was found that alumina nanoparticles when suspended in a fluid are capable of increasing the heat transfer capability of the base fluid. The shear stress as well as heat transfer rate increases with nanoparticle volume fraction. Thermal boundary layer thickness as well as heat transfer rate increases when the convective heat transfer parameter

_{2}O

_{3}/water nanofluid flow and heat transfer in microchannel heat sink