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Computational & Applied Mathematics

On-line version ISSN 1807-0302

Abstract

MAKUKULA, Zodwa G.; SIBANDA, Precious  and  MOTSA, Sandile S.. On a linearisation method for Reiner-Rivlin swirling flow. Comput. Appl. Math. [online]. 2012, vol.31, n.1, pp. 95-125. ISSN 1807-0302.  http://dx.doi.org/10.1590/S1807-03022012000100006.

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.

Keywords : Reiner-Rivlin fluid; Chebyshev spectral method; spectral-homotopy analysis method; improved spectral-homotopy analysis method.

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