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Simple analytic approximations for the Blasius problem

TitleSimple analytic approximations for the Blasius problem
Publication TypeArticolo su Rivista peer-reviewed
Year of Publication2015
AuthorsIacono, Roberto, and Boyd J.P.
JournalPhysica D: Nonlinear Phenomena
Volume310
Pagination72-78
ISSN01672789
KeywordsAnalytic approximation, Analytical approximation, Approximants, Blasius equation, Blasius problem, Boundary layer problems, Boundary layers, Iteration schemes, Second derivatives
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. © 2015 Elsevier B.V. All rights reserved.

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URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84940434677&doi=10.1016%2fj.physd.2015.08.003&partnerID=40&md5=a7b29643e065eddeeeb56317f40a2b05
DOI10.1016/j.physd.2015.08.003
Citation KeyIacono201572