AbstractThe study of peristaltic flow of a Carreau fluid in a compliant rectangular channel has been analyzed in this article. The assumptions of low Reynolds number and long wavelength approximation are utilized here to simplify the complicated governing equations for the three dimensional flow geometry. The resulting highly non-linear partial differential constitutive equations are solved jointly by homotopy perturbation and Eigen function expansion methods. The effects of various physical parameters on velocity distribution have been observed graphically for both two and three dimensional aspects. The trapping scheme has also been discussed by plotting stream lines.