Self-similarity of nonstationary boundary-layer motions

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Abstract

In this paper we show that problems concerning the development of a boundary layer on a semi-infinite plate when the outer flow speed is of the form U = (1 + ct)ba, and on a cylinder when the outer flow speed has the forms U = ctαxm and U = (1 + ct)baxm, are self-similar. We present the results of numerical calculations for various values of α, b, and m. We consider the problem of a stepwise nonstationary heating of a plate, impulsively set into motion in an incompressible fluid; we show that this problem is self-similar and obtain its solution numerically.

Original languageEnglish
Pages (from-to)578-581
Number of pages4
JournalJournal of Applied Mechanics and Technical Physics
Volume16
Issue number4
DOIs
StatePublished - Jul 1975

Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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