Summary
We present here results for a new solution branch of the Falkner-Skan equation with parameter β. It is found that there are two turning points on this new branch which results in two solutions of the problem for 37.844<β<∞, three solutions for β=37.844, four solutions for 14.533<β<37.844, three solutions for β=14.533, and two solutions for 1<β<14.533. This solution branch is found to end singularly at β=1; its structure is analytically investigated and the principal characteristics described. The spatial stability of such solutions is also commented on.
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Zaturska, M.B., Banks, W.H.H. A new solution branch of the Falkner-Skan equation. Acta Mechanica 152, 197–201 (2001). https://doi.org/10.1007/BF01176954
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DOI: https://doi.org/10.1007/BF01176954