In this paper, local similarity solutions of natural convective boundary-layer flow over a vertical semi-infinite cylinder embedded in a porous medium saturated with a nanofluid is presented. The model used for the nanofluid incorporates the effects of buoyancy forces, Brownian motion, thermophoresis and Lewis number. The governing partial differential equations and the corresponding boundary conditions are reduced to ordinary differential equations with appropriate corresponding boundary conditions. Numerical solutions of the resulting system of ordinary differential equations are obtained and the flow and heat transfer characteristics are discussed for various values of the governing nanofluid parameters

In this paper we study magnetic field, chemical reaction and viscous dissipation on combined heat and mass transfer over a moving permeable vertical flat plate. A variable magnetic field parallel to the y axis and convective surface boundary condition are applied. The similarity representations of the system of partial differential equations of the problem are obtained via the group method. These similarity equations are then solved numerically by a MATLAB package which uses an implicit finite difference technique. Influences of the various parameters on the velocity, the temperature and the concentration fields across the boundary layer are investigated and numerical results for the velocity, temperature and concentration distributions are shown. The skin-friction factor, the Nusselt number and the Sherwood number are also calculated and displayed in graphs to show the effects of various parameters on them

In this paper, we examine the convective flow and heat transfer of an incompressible viscous nanofluid past a semi-infinite vertical stretching sheet in the presence of a magnetic field. The governing partial differential equations with the auxiliary conditions are reduced to ordinary differential equations with the appropriate corresponding conditions via scaling transformations. The analytical solutions of the resulting ODEs are obtained, and from which the analytical solutions of the original problem are presented. The influence of pertinent parameters such as the magnetic parameter, the solid volume fraction of nanoparticles and the type of nanofluid on the flow, heat transfer, Nusselt number and skin friction coefficient is discussed. Comparison with published results is presented