Free Boundary Formulations for two Extended Blasius Problems

TL;DR

This paper develops free boundary formulations for two extended Blasius problems in boundary layer theory, providing computational results that align well with recent literature, advancing understanding of these complex fluid dynamics problems.

Contribution

It introduces novel free boundary formulations for extended Blasius problems and offers computational results that validate the approach against existing studies.

Findings

Computed results match recent literature

Free boundary formulations effectively model extended Blasius problems

Provides insights into missing initial condition handling

Abstract

In this paper, we have defined the free boundary formulation for two extended Blasius problems. These problems are of interest in boundary layer theory and are deduced from the governing partial differential equations by using appropriate similarity variables. The computed results, for the so-called missing initial condition, are favourably compared with recent results available in the literature.