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titleN-S方程式の粘性項について:デカルト座標における4階の等方性テンソル
Other TitleOn the viscous term in the Navier-Stokes equations: The 4th rank isotropic tensor in Cartesian coordinates
Author(jpn)東野 文男; 佐藤 博之; 林 光一
Author(eng)Higashino, Fumio; Sato, Hiroyuki; Hayashi, Koichi
Author Affiliation(jpn)青山学院大学; 青山学院大学; 青山学院大学
Author Affiliation(eng)Aoyama Gakuin University; Aoyama Gakuin University; Aoyama Gakuin University
Issue Date2005-03
PublisherInstitute of Space and Astronautical Science, Japan Aerospace Exploration Agency (JAXA/ISAS)
宇宙航空研究開発機構宇宙科学研究本部
Publication title宇宙航行の力学シンポジウム 平成16年度
Symposium on Flight Mechanics and Astrodynamics 2004
Start page61
End page66
Publication date2005-03
Languagejpn
AbstractThe exact expression of viscous term for Newtonian fluid appeared in the Navier-Stokes equations is formulated. The general expression for the 4th rank isotropic tensor is obtained for the 3-D Cartesian coordinates system by means of Kronecker's deltas. Although the present formula is rather different from the classical analysis by Jeffreys, the strain and stress relations for the elastic deformation theory coincide to the formulae of classical theory. The present analysis states that the basic properties of Riemann's curvature tensor are retained in the case of Euclidean space as well.
KeywordsNavier-Stokes equation; viscous flow; Newtonian fluid; fluid flow; viscous term; Hooke's law; isotropic tensor; Cartesian coordinate; Navier-Stokes方程式; 粘性流; ニュートン流体; 流体流; 粘性項; フックの法則; 等方性テンソル; デカルト座標
Document TypeConference Paper
JAXA Categoryシンポジウム・研究会
SHI-NOAA0048089016
URIhttps://repository.exst.jaxa.jp/dspace/handle/a-is/38689


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