Abstract
In this paper a study of the boundary layer flow and heat transfer of a nanofluid over a vertical slender cylinder is presented. The governing equations of motion, energy and nanoparticles are simplified by applying appropriate boundary layer approximations and then the system is converted to a nondimensional one by using suitable similarity transformations. The resulting system of three nondimensional coupled ordinary differential equations is solved by using the homotopy analysis method. At the end the physical behavior of the different parameters involved in these equations are discussed and presented graphically.