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Further properties of the Falkner-Skan equation

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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

  1. 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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Authors and Affiliations

  1. School of Mathematics, University of Bristol, University Walk, BS8 1TW, Bristol, England

    P. Brodie & W. H. H. Banks

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  1. P. Brodie
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  2. W. H. H. Banks
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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

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