A Non-Iterative Transformation Method for Blasius Equation with Moving Wall or Surface Gasification

TL;DR

This paper introduces a non-iterative transformation method for solving the Blasius equation with moving walls or surface gasification, enabling efficient analysis of boundary layer problems with varying parameters.

Contribution

The paper presents a novel non-iterative approach for solving parameter-dependent Blasius equations, simplifying analysis of boundary layer models with multiple or no solutions.

Findings

Method agrees well with existing literature

Handles problems with multiple or no solutions

Facilitates analysis of parameter effects

Abstract

We define a non-iterative transformation method for Blasius equation with moving wall or surface gasification. The defined method allows us to deal with classes of problems in boundary layer theory that, depending on a parameter, admit multiple or no solutions. This approach is particularly convenient when the main interest is on the behaviour of the considered models with respect to the involved parameter. The obtained numerical results are found to be in good agreement with those available in literature.