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International Journal of Fluid Mechanics Research

Publication de 6  numéros par an

ISSN Imprimer: 2152-5102

ISSN En ligne: 2152-5110

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 1.1 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.3 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.0002 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.33 SJR: 0.256 SNIP: 0.49 CiteScore™:: 2.4 H-Index: 23

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Lie Groups and Scale-Invariant Forms of the Prandtl Equations

Volume 28, Numéro 1&2, 2001, pp. 151-163
DOI: 10.1615/InterJFluidMechRes.v28.i1-2.110
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RÉSUMÉ

Various forms of scale-invariant variables, functions and differential equations, including the generalized Blasius equation, are obtained on a basis of Lie groups. It is shown that form of the general ordinary differential equation is determined by choice of a parametric variable. Using symmetry properties, the generalized Blasius equation is reduced to a first order equation. Two new scale-invariant solutions of the Prandtl equations are obtained. A way of transforming the one-parameter Lie algebra of the Prandtl equations, involving four subalgebras, to an algebra with three subalgebras, one of which is two-parameter subalgebra, is shown.

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