On a linearisation method for Reiner-Rivlin swirling flow

the steady flow of a reiner-rivlin fluid with joule heating and viscous dissipationis studied. we present a novel technique for accelerating the convergence of the spectral-homotopy analysis method. solutions of the nonlinear momentum and energy equations are obtained using the improved spectral homotopy analysis method. solutions were also generated using the spectral-homotopy analysis method and benchmarked against results in the literature. mathematical subject classification: primary: 76a05, 76n05; secondary: 76m25.