A 2-D-formulation of the mass balance equations for continuous annular chromatograph (CAC) is proposed.A numerical algorithm is developed to solve the coupled system of nonlinear convection diffusion equations in an iterative manner.The streamline diffusion method on an adaptively refined mesh is used to discretize the corresponding linear convection diffusion equations.The simulation with the mathematical model for CAC coincides with experimental data well.Profiles at the outlets in xylose-sorbose system show the robustness of the proposed algorithm over a wide range of design parameters.The model and algorithm are used to perform parametric calculations to investigate the influence of several model parameters on typical performance criteria for the chromatographic separation process.