Solving the Boundary Layer Flow of an Eyring-Powell Non-Newtonian Fluid

TL;DR

This paper introduces a Rational Jacobi collocation method combined with Quasilinearization to efficiently solve the nonlinear boundary layer flow equations of an Eyring-Powell non-Newtonian fluid over a stretching sheet, satisfying infinity boundary conditions.

Contribution

The paper presents a novel combination of Rational Jacobi collocation and Quasilinearization for solving nonlinear boundary layer flow equations with implicit boundary conditions.

Findings

The method accurately approximates velocity profiles.

Effect of parameters on flow characteristics is analyzed.

The approach converges efficiently for the nonlinear problem.

Abstract

In this paper, the Rational Jacobi (RJ) collocation method is proposed to approximate the solution of the boundary layer flow of an Eyring-Powell fluid over a stretching sheet. This equation is nonlinear and by applying Quasilinearization method (QLM), the equation is converted into a sequence of linear ordinary differential equations (ODE) converging to the solution of the nonlinear equation. Unlike other methods, instead of truncation in domain, the infinity condition is satisfied implicitly. As a result, using the proposed method, the model is converted to a system of linear algebraic equations. The effect of different parameters on the velocity profile is also presented.