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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.

Reiner-Rivlin fluid; Chebyshev spectral method; spectral-homotopy analysis method; improved spectral-homotopy analysis method


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