Group classification of steady two-dimensional boundary-layer stagnation-point flow equations

TL;DR

This paper applies Lie symmetry group methods to analyze the boundary-layer equations for steady two-dimensional stagnation-point flow near a heated stretching sheet in a porous medium, deriving symmetries and invariant solutions.

Contribution

It introduces a systematic symmetry analysis of the boundary-layer equations, providing new invariant solutions and a detailed Lie algebra structure for this flow scenario.

Findings

Symmetry group and optimal system identified

Group invariant solutions derived

Lie algebra structure determined

Abstract

Lie symmetry group method is applied to study the boundary-layer equations for two-dimensional steady flow of an incompressible, viscous fluid near a stagnation point at a heated stretching sheet placed in a porous medium equation. The symmetry group and its optimal system are given, and group invariant solutions associated to the symmetries are obtained. Finally the structure of the Lie algebra symmetries is determined.