Simple analytic approximations for the Blasius problem

R. Iacono, John P. Boyd

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The classical boundary layer problem formulated by Heinrich Blasius more than a century ago is revisited, with the purpose of deriving simple and accurate analytical approximations to its solution. This is achieved through the combined use of a generalized Padé approach and of an integral iteration scheme devised by Hermann Weyl. The iteration scheme is also used to derive very accurate bounds for the value of the second derivative of the Blasius function at the origin, which plays a crucial role in this problem.
Original languageEnglish
Pages (from-to)72 - 78
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Volume310
DOIs
Publication statusPublished - 15 Aug 2015
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

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