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

Asai Asaithambi ()
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Asai Asaithambi: School of Computing, University of North Florida, 1 UNF Drive Jacksonville, Florida 32224, USA

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 11, 1-14

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.

Keywords: Falkner–Skan equation; Crocco–Wang transformation; series solution; secant method; Newton’s method (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S012918311750139X

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