Application of the Laplace Transform to the Solution of the Boundary Layer Equations. I

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Abstract

The solution of non-linear ordinary differential equations, which are connected with the boundary layer theory, is obtained by a sequence of successive approximations, using the Laplace transform. Blasius, Falkner and Skan equations, the equation of similar profiles as well as the heat convection problem of semi-infinite planes at constant temperature are considered in order to illustrate the proposed method. Extension of the obtained solutions, which have a finite radius of convergence, is possible by using the Meksyn technique.

Original languageEnglish
Pages (from-to)1157-1162
Number of pages6
JournalJournal of the Physical Society of Japan
Volume23
Issue number5
DOIs
StatePublished - 1 Jan 1967
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

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