Non-similarity solution of double-diffusive free convection flow from a vertical surface

Homotopy analysis is given in this paper, which obtains non-similarity solutions of the double-diffusive free convection flow with the vertical surfaces. The governing equations are changed into a group of coupled non-linear partial differential equations, which is making use of reasonable non-similarity transformations. The effects of some dimensionless parameters of the velocity, temperature or concentration profiles are valid for the whole calculation area with non-similarity solutions.