%0 Journal Article %T On a linearisation method for Reiner-Rivlin swirling flow %A Makukula %A Zodwa G. %A Sibanda %A Precious %A Motsa %A Sandile S. %J Computational & Applied Mathematics %D 2012 %I Scientific Electronic Library Online %R 10.1590/S1807-03022012000100006 %X 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. %K reiner-rivlin fluid %K chebyshev spectral method %K spectral-homotopy analysis method %K improved spectral-homotopy analysis method. %U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S1807-03022012000100006&lng=en&nrm=iso&tlng=en