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A numerical investigation of the boundary layer flow of an Eyring-Powell fluid over a stretching sheet via rational Chebyshev functions

The European Physical Journal Plus volume 132, Article number: 325 (2017) Cite this article

Abstract.

In this paper, a spectral method based on the four kinds of rational Chebyshev functions is proposed to approximate the solution of the boundary layer flow of an Eyring-Powell fluid over a stretching sheet. First, by using the quasilinearization method (QLM), the model which is a nonlinear ordinary differential equation is converted to a sequence of linear ordinary differential equations (ODEs). By applying the proposed method on the ODEs in each iteration, the equations are converted to a system of linear algebraic equations. The results indicate the high accuracy and convergence of our method. Moreover, the effects of the Eyring-Powell fluid material parameters are discussed.

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Authors and Affiliations

  1. Department of Computer Sciences, Shahid Beheshti University, 19697-64166, G.C. Tehran, Iran

    Kourosh Parand, Mohammad Mahdi Moayeri, Sobhan Latifi & Mehdi Delkhosh

  2. Department of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, G.C. Tehran, Iran

    Kourosh Parand

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  1. Kourosh Parand
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  2. Mohammad Mahdi Moayeri
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  3. Sobhan Latifi
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  4. Mehdi Delkhosh
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Correspondence to Kourosh Parand.

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Parand, K., Mahdi Moayeri, M., Latifi, S. et al. A numerical investigation of the boundary layer flow of an Eyring-Powell fluid over a stretching sheet via rational Chebyshev functions. Eur. Phys. J. Plus 132, 325 (2017). https://doi.org/10.1140/epjp/i2017-11600-0

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  • DOI: https://doi.org/10.1140/epjp/i2017-11600-0