# Asymptotic Approximant for the Falkner–Skan Boundary Layer Equation

@article{Belden2019AsymptoticAF,
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},
year={2019}
}
• Published 17 July 2019
• Mathematics
• 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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