An accurate numerical analysis of the laminar two-dimensional flow of an incompressible Eyring-Powell fluid over a linear stretching sheet
Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, G.C. Tehran, Iran
2 Department of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, G.C. Tehran, Iran
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Accepted: 10 August 2017
Published online: 22 September 2017
In this study, coupling the quasilinearization method (QLM) and indirect radial basis functions (IRBFs) method is proposed for solving the boundary layer flow of an Eyring-Powell fluid over an stretching sheet in unbounded domain. The QLM is used as a tool for confronting the nonlinearity of the problem and then the IRBFs method leads to stable computations for this problem. The IRBFs-QLM meshless method offers several advantages over the more conventional radial basis function approximation, nevertheless it has never been applied to problems in computational fluid dynamics (CFD), at least to the very best of our knowledge. It should be noted that the IRBFs-QLM scheme leads to full system equations which their coefficient matrices are the same for every QLM step. Therefore, we use a powerful non-iterative algorithm named the LU factorization method with partial pivoting to get rid of this system. Numerical results involving comparisons made with other methods indicate the numerically convergence of the proposed new method in this work. Effects of the material fluid parameters on the velocity field function and its derivative are also noteworthy to verify the accuracy of the proposed new approach and to demonstrate the superior performance of the IRBFs-QLM compared with spectral techniques presented elsewhere.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, 2017