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In this study, the effects of blowing/injection and suction on the steady mixed convection boundary layer flows over a vertical slender cylinder have been considered. It is assumed that the mainstream velocity and the wall surface temperature of the cylinder are proportional to the axial distance along the surface. The governing equations of motion, energy, and nanoparticles are simplified by applying appropriate boundary layer approximation. These partial differential equations are reduced to highly non-linear ordinarily differential equations, by using similarity transformation. The resulting differential system is solved by employing the meshfree method for the first time. The convergence of the obtained series solution is carefully checked and comparison with other algorithms shows an excellent agreement. The physical behavior of the different parameters involved in these equations is discussed in details and presented graphically.

The numerical study on the boundary layer flow and heat transfer over a vertical slender cylinder using RBF collocation method