Asymptotic Approximant for the Falkner-Skan Boundary-Layer equation
We demonstrate that the asymptotic approximant applied to the Blasius boundary layer flow over a flat plat (Barlow et al., 2017 Q. J. Mech. Appl. Math., 70(1): 21-48) yields accurate analytic closed-form solutions to the Falkner-Skan boundary layer equation for flow over a wedge having angle $\beta\...
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Zusammenfassung: | We demonstrate that the asymptotic approximant applied to the Blasius
boundary layer flow over a flat plat (Barlow et al., 2017 Q. J. Mech. Appl.
Math., 70(1): 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 |
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DOI: | 10.48550/arxiv.1907.09912 |