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The steady mixed convection flow towards an impermeable vertical plate with a convective surface boundary condition is investigated. The governing partial differential equations are first reduced to ordinary differential equations using a similarity transformation, before being solved numerically. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both assisting and opposing flows are considered. The results indicate that dual solutions exist for the opposing flow, whereas for the assisting flow, the solution is unique. Moreover, increasing the convective parameter is to increase the skin friction coefficient and the heat transfer rate at the surface.

The study of heat transfer of combined free and forced convection flow has attracted the interest of many researchers over the last few decades. Mixed convection flows are important when the buoyancy forces significantly affect the flow and the thermal fields due to the large temperature difference between the wall and the ambient fluid. One of the early investigations of mixed convection towards a vertical surface was made by Ramachandran et al. [

The aim of this paper is to study the two-dimensional mixed convection flow on a vertical plate with a convective surface boundary condition. The boundary layer flow concerning a convective boundary condition for the Blasius flow has been discussed by Aziz [

In the present paper, the governing equations are transformed into a system of nonlinear ordinary differential equations, which are then solved numerically. Representative results for the velocity and temperature profiles as well as the skin friction coefficient and the local Nusselt number, which represents the heat transfer rate at the surface, are presented for some values of the governing parameters.

Consider a two-dimensional steady boundary layer flow towards a vertical plate immersed in a viscous fluid of ambient temperature

In order to solve (

In (

The system of boundary value problem (BVP) of (

The nonlinear ordinary differential equations (

The variation of the skin friction coefficient

Variation of the skin friction coefficient

Velocity profiles

Variation of the heat transfer rate at the surface

Temperature profiles

It is evident from Figures

Figures

Velocity profiles

Temperature profiles

Velocity profiles

Temperature profiles

In this paper, the mixed convection boundary layer flow over an impermeable vertical plate with a convective surface boundary condition was studied. Similarity solutions for the flow and the thermal fields were obtained when the convective heat transfer from the left side of the plate is proportional to

The authors would like to express their sincere thanks to the editor and the anonymous referees for their valuable comments and suggestions. This work was supported by research Grants from the Ministry of Higher Education, Malaysia (project code: FRGS/1/2012/SG04/UKM/01/1) and from the Universiti Kebangsaan Malaysia (project code: DIP-2012-31).