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A series solution of the Falkner–Skan equation using the crocco–wang transformation

Asai Asaithambi

School of Computing, University of North Florida, 1 UNF Drive Jacksonville, Florida 32224, USA

https://doi.org/10.1142/S012918311750139XCited by:1 (Source: Crossref)

Abstract

A direct series solution for the Falkner–Skan equation is obtained by first transforming the problem using the Crocco–Wang transformation. The transformation converts the third-order problem to a second-order two-point boundary value problem. The method first constructs a series involving the unknown skin-friction coefficient $α$ $α$ . Then, $α$ $α$ is determined by using the secant method or Newton’s method. The derivative needed for Newton’s method is also computed using a series derived from the transformed differential equation. The method is validated by solving the Falkner–Skan equation for several cases reported previously in the literature.

Keywords:

PACS: 02.60.Lj

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