https://doi.org/10.1140/epjp/i2017-11600-0
Regular Article
A numerical investigation of the boundary layer flow of an Eyring-Powell fluid over a stretching sheet via rational Chebyshev functions
1
Department of Computer Sciences, Shahid Beheshti University, 19697-64166, G.C. Tehran, Iran
2
Department of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, G.C. Tehran, Iran
* e-mail: k_parand@sbu.ac.ir
Received:
27
April
2017
Accepted:
16
June
2017
Published online:
27
July
2017
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, 2017