A Non-Iterative Transformation Method Applied to Boundary-Layer Flows of Non-Newtonian Fluids Past a Flat Plate

TL;DR

This paper introduces a non-iterative transformation method for efficiently solving boundary-layer flow problems of non-Newtonian fluids past a flat plate, simplifying the numerical process and achieving accurate results.

Contribution

The paper presents a novel non-iterative transformation approach for solving extended Blasius problems in non-Newtonian fluid flows, reducing computational complexity.

Findings

Numerical results agree well with existing data.

Method effectively solves extended Blasius problems.

Applicable across a wide range of parameters.

Abstract

In this paper, we define a non-iterative transformation method for boundary-layer flows of non-Newtonian fluids past a flat plate. The problem to be solved is an extended Blasius problem depending on a parameter. This method allows us to solve numerically the extended Blasius problem by solving a related initial value problem and then rescaling the obtained numerical solution. Therefore, it is a non-iterative initial value method. We find that our computed numerical results, for a wide range of the parameter involved, are in very good agreement with the data reported in the literature.