The present investigation is about the incompressible natural convective fluid flow which is applied in the magnetic field. The vertical movement is applied over an isothermally heated open-ended vertical micro-channel. The super-hydrophobic slip, in addition to temperature jump situations under the effect of radiation and buoyancy forces, is applied on a vertical microchannel. The model equations, momentum, and energy balanced are advanced and worked numerical by applying a Runge-Kutta fourth-order technique. Numerical results were obtained in both cases. The first case represents that the super-hydrophobic surface was heated, and the second case represents the no-slip surface which was unheated. It is established that the temperature profiles increase with the buoyancy parameter.
