This study aims to analyze the effects of thermal buoyancy on the laminar boundary layer about a vertical plate in a uniform stream of fluid under a convective surface boundary condition. Using a similarity variable, the governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations, which are solved numerically by applying shooting iteration technique together with fourth-order Runge-Kutta integration scheme. The variations in dimensionless surface temperature and fluid-solid interface characteristics for different values of Prandtl number (Pr), local Grashof number Gr x , and local convective heat transfer parameter Bi x are graphed and tabulated. A comparison with previously published results on special case of the problem shows excellent agreement.

In this paper, the problem of unsteady convection with chemical reaction and radiative heat transfer past a flat porous plate moving through a binary mixture in an optically thin environment is presented. The dimensionless governing equations for this investigation are solved numerically by the fourth-order Runge-Kutta integration scheme along with shooting technique. Numerical data for the local skin-friction coefficient, the local Nusselt number and the local Sherwood number have been tabulated for various values of parametric conditions. Graphical results for velocity, temperature and concentration profiles based on the numerical solutions are presented and discussed.

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In this paper we analyse the effects of internal heat generation, thermal radiation and buoyancy force on the laminar boundary layer about a vertical plate in a uniform stream of fluid under a convective surface boundary condition. In the analysis, we assumed that the left surface of the plate is in contact with a hot fluid whilst a stream of cold fluid flows steadily over the right surface; the heat source decays exponentially outwards from the surface of the plate. The similarity variable method was applied to the steady state governing non-linear partial differential equations, which were transformed into a set of coupled non-linear ordinary differential equations and were solved numerically by applying a shooting iteration technique together with a sixth-order Runge-Kutta integration scheme for better accuracy. The effects of the Prandtl number, the local Biot number, the internal heat generation parameter, thermal radiation and the local Grashof number on the velocity and temperature profiles are illustrated and interpreted in physical terms. A comparison with previously published results on similar special cases showed excellent agreement.

Analysis is conducted on free convective heat and mass transfer of an incompressible, electrically conducting fluid past a moving vertical plate in the presence of suction and injection with thermal diffusion (Soret) and diffusion-thermo (Dufour) effects. Similarity solutions are obtained using scaling transformations. Using the similarity variables, the governing non-linear partial differential equations are transformed into a set of coupled non-linear ordinary differential equations, which are solved numerically by the shooting iteration technique together with a sixth order Runge-Kutta integration scheme. A comparison with previous work is made and the results are consistent. Numerical calculations of the local skin friction coefficient, the local Nusselt number and the local Sherwood number as well as velocity, temperature and concentration profiles of the fluid, are presented for different physical parameters. It was found that: (i) for fluids with light-medium molecular weight (H 2 , air), Dufour and Soret effects should not be neglected; and (ii) the suction and injection parameters largely govern the rate of heat transfer in the boundary layer.