This analysis is to study the incompressible mixed convection laminar Newtonian flow through concentric cylindrical annulus associated with slip and convective boundary conditions. This presentation considered the cross diffusions and chemical reaction effects also. The fluid flow in an annulus is due to the rotation of the outer cylinder with constant velocity. The analysis of such kind of fluid flow is governed by nonlinear partial differential equations. The governing system of equations were mapped into dimensionless system with appropriate transformations. The system has been solved using Homotopy Analysis Method (HAM). The influence of Soret, Dufour, slip parameter and the chemical reaction parameter on velocity, temperature and concentration are investigated, and presented through plots. The maximum values of slip leads to increase in velocity and temperature profiles. Further the impact of boundary conditions on velocity, temperature and concentration are also presented.