Summary
We present some analytical perturbation results from which the skin-friction is accurately predicted over the range 1/2<β<∞, where β is the usual Falkner-Skan parameter. The first eigenvalue for various β in the range 2<β<∞ is also calculated numerically and certain properties noted. We find, analytically, the whole set of eignesolutions for the case when β is large.
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References
Chen, K. K., Libby, P. A.: Boundary layers with small departures from the Falkner-Skan profile. J. Fluid Mech.33, 273–282 (1968).
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Brodie, P., Banks, W.H.H. Further properties of the Falkner-Skan equation. Acta Mechanica 65, 205–211 (1987). https://doi.org/10.1007/BF01176882
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DOI: https://doi.org/10.1007/BF01176882