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This article is cited in 1 scientific paper (total in 1 paper)
Asymptotic expansion of Crocco solution and Blasius constant
V. P. Varin
Abstract:
We consider the Crocco equation (the reduction of the Blasius equation). The use of this more simple equation for computation of the Blasius constant leads to some unexpected difficulties, which have been unexplained. We computed the asymptotic expansion of the solution to Crocco equation at its singularity. This expansion was unknown before. We describe the structure of the Riemann surface of the Crocco solution at the singularity. These results were used for construction of an effective numerical algorithm, which is based on analytical continuation, for computation of the Blasius constant with an arbitrary and guaranteed accuracy. We computed the Blasius constant with a 100 decimal places.
Keywords:
Crocco equation, Blasius constant, asymptotic expansion, analytical continuation.
Citation:
V. P. Varin, “Asymptotic expansion of Crocco solution and Blasius constant”, Keldysh Institute preprints, 2016, 106, 20 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp2180 https://www.mathnet.ru/eng/ipmp/y2016/p106
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