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

Author

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  • Asai Asaithambi

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

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.

Suggested Citation

  • Asai Asaithambi, 2017. "A series solution of the Falkner–Skan equation using the crocco–wang transformation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(11), pages 1-14, November.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:11:n:s012918311750139x
    DOI: 10.1142/S012918311750139X
    as

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