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The flow of a viscoelastic fluid in porous channels with expanding or contracting walls is investigated.Using a similar transformation, the goveing equations are reduced to a nonlinear fifth-order differential equation.The homotopy analysis method is employed to obtain the expression for velocity fields.The analytical solutions are influenced by the permeation Reynolds number Re, the wall expansion ratio a and viscoelastic parameter w.Graphs are sketched and the effects of some values of parameters, especially the expansion ratio, on the velocity fields are discussed in detail.