Asymptotic Approximant for the Falkner–Skan Boundary Layer Equation

  title={Asymptotic Approximant for the Falkner–Skan Boundary Layer Equation},
  author={Elizabeth R. Belden and Zachary A. Dickman and Steven J. Weinstein and Alex D. Archibee and Ethan Burroughs and Nathaniel S. Barlow},
  journal={The Quarterly Journal of Mechanics and Applied Mathematics},
We demonstrate that the asymptotic approximant applied to the Blasius boundary layer flow over a flat plat (Barlow et al., Q. J. Mech. Appl. Math. 70 (2017) 21–48.) yields accurate analytic closed-form solutions to the Falkner–Skan boundary layer equation for flow over a wedge having angle $\beta\pi/2$ to the horizontal. A wide range of wedge angles satisfying $\beta\in[-0.198837735, 1]$ are considered, and the previously established non-unique solutions for $\beta<0$ having positive and… 

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  • K. Stewartson
  • Mathematics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1954
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