DIMENSIONAL ANALYSIS OF NAVIER EQUATION A ND ITS APPLICATION TO THE THIN-PLATE THEORY

Citation
O. Millet et al., DIMENSIONAL ANALYSIS OF NAVIER EQUATION A ND ITS APPLICATION TO THE THIN-PLATE THEORY, Journal de physique. III, 7(10), 1997, pp. 1909-1925
Citations number
22
Categorie Soggetti
Material Science","Phsycs, Fluid & Plasmas","Physics, Applied
Journal title
ISSN journal
11554320
Volume
7
Issue
10
Year of publication
1997
Pages
1909 - 1925
Database
ISI
SICI code
1155-4320(1997)7:10<1909:DAONEA>2.0.ZU;2-U
Abstract
The dimensional analysis of the three-dimensional Navier equation lead s to non-dimensional numbers which reflect the physical problem. Thank s to these numbers, the two-dimensional Kirchhoff-Love model can be pr oved valid for level forces of epsilon(4) order. To be run, the asympt otic method developped in this paper, needs no a priori assumption on the changing of scales.