Abstract
A uniform two‐dimensional magneto‐hydrodynamic convection flow of an adhesive incompressible fluid along a vertical stretching surface in accordance with varying thermal conductivity and radiation is analyzed. The uppermost layer temperature, the transverse magnetic field and the stretching velocity are presumed to alter as a power function of the distance from the origin. The non‐linear PDE (partial differential equations) which run our examined problem are converted into a set of non‐linear ordinary differential equations by the use of a relevant transformations followed by a numerical solution implementing a shooting method together with Runge‐Kutta integration formula. We examine the effects of a variety of regulating parameters, viz the magnetic parameter, the velocity and temperature exponents, the variable thermal conductivity parameter, buoyancy parameter and the radiation parameter. The graphs and tables express a powerful impact of these parameters on the behavior of the flow and heat transfer.
A uniform two‐dimensional magneto‐hydrodynamic convection flow of an adhesive incompressible fluid along a vertical stretching surface in accordance with varying thermal conductivity and radiation is analyzed. The uppermost layer temperature, the transverse magnetic field and the stretching velocity are presumed to alter as a power function of the distance from the origin. The non‐linear PDE (partial differential equations) which run our examined problem are converted into a set of non‐linear ordinary differential equations by the use of a relevant transformations followed by a numerical solution implementing a shooting method together with Runge‐Kutta integration formula.…