Abstract
The main attention of this study is to give analytic investigation on the behavior of a nanofluid transport rates in response to a continuous variation of parameters. After reducing the governing boundary layer equations in to a set of convenient ordinary differential forms, the efficient optimal homotopy analysis method has been successfully implemented to the set of nonlinear problems. In this analysis, it is found that significant variations of heat, mass and momentum transfer rates are identified with the changes in the values of magnetic field, porosity parameter and diffusion thermo effects. Among other things, the findings of this study will contribute for better understanding and predicting of fluid transport rates near cylindrical surfaces. This will help both theoretical scientists and practical engineers to estimate the degree to which various factors affect the quality of manufacturing products.