Hierarchal structure of the simplified Navier-Stokes equations (SNSE) and its mechanical connotation and application

CORC > 力学研究所 > 中国科学院力学研究所 > 力学所知识产出(1956-2008)

	Hierarchal structure of the simplified Navier-Stokes equations (SNSE) and its mechanical connotation and application
	Gao Z(高智)
刊名	Science in China Series A-Mathematics Physics Astronomy
	1989
卷号	32 期号:2 页码:168-187
关键词	fluid mechanics Navier-Stoke equations viscous flow
ISSN号	1001-6511
中文摘要	The hierarchial structure and mathematical property of the simplified Navier-Stokesequations (SNSE) are studied for viscous flow over a sphere and a jet of compressible flu-id. All kinds of the hierarchial SNSE can be divided into three types according to theirmathematical property and also into five groups according to their physical content. Amultilayers structure model for viscous shear flow with a main stream direction is pre-sented. For the example of viscous incompressible flow over a flat plate there existthree layers for both the separated flow and the attached flow; the character of thetransition from the three layers of attached flow to those of separated flow is elucidated.A concept of transition layer being situated between the viscous layer and inviscidlayer is introduced. The transition layer features the interaction between viscous flow andinviscid flow. The inner-outer-layers-matched SNSE proposed by the present author inthe past is developed into the layers matched (LsM)-SNSE.
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
收录类别	SCI
语种	英语
WOS记录号	WOS:A1989AB01100004
公开日期	2009-08-03 ; 2010-08-20
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/39638]
专题	力学研究所_力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Gao Z. Hierarchal structure of the simplified Navier-Stokes equations (SNSE) and its mechanical connotation and application[J]. Science in China Series A-Mathematics Physics Astronomy,1989,32(2):168-187.
APA	高智.(1989).Hierarchal structure of the simplified Navier-Stokes equations (SNSE) and its mechanical connotation and application.Science in China Series A-Mathematics Physics Astronomy,32(2),168-187.
MLA	高智."Hierarchal structure of the simplified Navier-Stokes equations (SNSE) and its mechanical connotation and application".Science in China Series A-Mathematics Physics Astronomy 32.2(1989):168-187.