Title | Simple analytic approximations for the Blasius problem |
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Publication Type | Articolo su Rivista peer-reviewed |
Year of Publication | 2015 |
Authors | Iacono, Roberto, and Boyd J.P. |
Journal | Physica D: Nonlinear Phenomena |
Volume | 310 |
Pagination | 72-78 |
ISSN | 01672789 |
Keywords | Analytic 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. |
Notes | cited By 1 |
URL | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84940434677&doi=10.1016%2fj.physd.2015.08.003&partnerID=40&md5=a7b29643e065eddeeeb56317f40a2b05 |
DOI | 10.1016/j.physd.2015.08.003 |
Citation Key | Iacono201572 |