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

Document Type

Article

Publication Date

11-1-2017

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. Then, 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.

Publication Title

International Journal of Modern Physics C

Volume

28

Issue

11

Digital Object Identifier (DOI)

10.1142/S012918311750139X

ISSN

01291831

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