Three analytical methods applied to Jeffery–Hamel flow

Three new analytical approximate techniques for addressing nonlinear problems are applied to Jeffery–Hamel flow. Homotopy Analysis Method (HAM), Homotopy Perturbation Method (HPM) and Differential Transformation Method (DTM) are proposed and used in this research. These methods are very useful and applicable for solving nonlinear problems. Then, the results are compared with numerical results and the validity of these methods is shown. Comparison between obtained results showed that HAM is more acceptable and accurate than two other methods. Ultimately, the effects of Reynolds number and divergent and convergent model of the channel on features of the flow are discussed.