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KIAM Preprint № 106, Moscow, 2016
Authors: Varin V. P.
Asymptotic expansion of Crocco solution and Blasius constant
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
Publication language: russian,  pages: 20
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Varin Victor Petrovich,  orcid.org/0000-0001-7324-1823KIAM RAS