Main aim of this paper is to analyze theoretically the magnetohydrodynamic flows of nanofluid from horizontal permeable circular cylinder in non-Darcy porous medium. The influences of Brownian motion and thermophoresis are consolidated and studied. The governing partial differential equations are converted into nonlinear ordinary differential equations using suitable non-similarity transformation and are solved numerically using Keller-Box finite difference technique. The numerical method is validated with previous published work and the results are found to be in excellent agreement. Numerical results for velocity, temperature, concentration along with skin friction coefficient, heat transfer rate and mass transfer rate are discussed for various values of physical parameters and are presented graphically. The present model finds applications in electric-conductive nano-materials of potential use in aviation and different enterprises, energy systems and thermal enhancement of industrial flow processes. © 2019 by American Scientific Publishers All rights reserved.