A note on natural convection along a convectively heated vertical plate

•The steady laminar boundary layer natural convection with convective boundary condition is considered.•The problem is governed by the classical Prandtl number and a new introduced convective parameter.•The problem is either similar or non-similar and tends to natural convection along an isothermal plate

The steady laminar boundary layer flow along a vertical stationary plate with convective surface boundary condition is investigated in this paper. The heat transfer coefficient is considered either constant or variable along the plate and the problem is either non-similar or similar. The results are obtained with the direct numerical solution of the governing equations. The problem is governed by Prandtl number and a convective parameter and the influence of these parameters on the results are presented in tables and figures. There are differences in the results between the non-similar and similar case at low values of the convective parameter but as this parameter increases the differences decrease and the flow tends to the classical natural convection along a vertical isothermal plate.