Abstract
The present article develops the analytic and numerical solutions for the steady flow of viscous nanofluid between the concentric cylinders. The inner cylinder here moves while the outer cylinder remains fixed. Expressions of velocity, temperature, concentration and nanoparticle fraction are derived. The solutions are analyzed via different involved parameters. Numerical values for Dufour and thermophoresis parameters are tabulated by optimization method. Convergence of obtained solution is checked by the Hybrid Genetic and Nelder-Mead algorithm. Graphical results for different pertinent parameters are presented and discussed.