An Efficient Numerical Method to Solve the Boundary Layer Flow of an Eyring-Powell Non-Newtonian Fluid

Abstract

In this paper, the boundary layer flow of an Eyring-Powell non-Newtonian fluid over a linearly stretching sheet is solved using the combination of the quasilinearization method and the Fractional order of Rational Chebyshev function (FRC) collocation method on a semi-infinite domain. The quasilinearization method converts the equation into a sequence of linear equations then, using the FRC collocation method, these linear equations are solved. The governing nonlinear partial differential equations are reduced to the nonlinear ordinary differential equation by similarity transformations. The physical significance of the various parameters of the velocity profile is investigated through graphical figures. An accurate approximation solution is obtained and the convergence of numerical results is shown.

Keywords

• Boundary layer flow
• Fractional order of rational Chebyshev functions
• Quasilinearization method
• Eyring-Powell fluid
• Stretching sheet
• Nonlinear ODE