The present study deals with numerical investigation of mixed convection slip flow and-heat transfer of uniformly conducting nanofluid past an inclined cylinder under the influence of Brownian motion, thermophoresis and viscous dissipation. The governing partial differential equations in cylindrical form are reduced into set of nonlinear ordinary differential equations by using appropriate similarity transformation and solved numerically by the fourth order Runge-Kutta-Fehlberg method with shooting technique. The physical characteristics namely skin friction, heat transfer, temperature and velocity are discussed with the variation of governing parameters and presented graphically in this paper. The study shows the critical range of mixed convection parameter or Richardson number Ri, curvature parameter gamma, mass transfer parameters and stretching/shrinking parameter chi, for the existence of multiple branches of the solution. Skin friction increases with buoyancy parameter while heat transfer decreases. The rate of heat transfer enhances with mass transfer parameter but decreases with thermal slip parameter. The present problem has many applications in food processing specially drying of cylinder-shaped bodies which takes shrinkage into account at different air drying temperatures. (C) 2015 Elsevier B.V. All rights reserved.