Hydromagnetic axisymmetric slip flow along a vertical stretching cylinder with convective boundary condition

The steady axi-symmetric laminar boundary-layer slip flow of a viscous incompressible fluid and heat transfer towards a vertical stretching cylinder in the presence of a uniform magnetic field is investigated. It is assumed that the left surface of the cylinder is heated by a hot convective flow. Using a similarity transformation, the governing system of partial differential equations is first transformed into a system of coupled non-linear ordinary differential equations. The resulting intricate non-linear boundary value problem is solved numerically by the fourth-order Runge Kutta method with shooting iteration technique. The analytical solutions are presented for a special case. The effects of various physical parameters on velocity and temperature profiles are discussed through graphs. The values of skin friction coefficient and the Nusselt number are tabulated and examined. It is found that the thermal boundary layer thickness increases with the increase of velocity slip, magnetic field, surface convection parameter and curvature parameter and decreases with Prandtl number.