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	A dynamic counterpart of Lamb vector in viscous compressible aerodynamics
	Liu, L. Q. ; Wu, J. Z. ; Shi, Y. P. ; Zhu, J. Y.
	2014
关键词	FLOW FORCE CYLINDER
英文摘要	The Lamb vector is known to play a key role in incompressible fluid dynamics and vortex dynamics. In particular, in low-speed steady aerodynamics it is solely responsible for the total force acting on a moving body, known as the vortex force, with the classic two-dimensional (exact) Kutta-Joukowski theorem and three-dimensional (linearized) lifting-line theory as the most famous special applications. In this paper we identify an innovative dynamic counterpart of the Lamb vector in viscous compressible aerodynamics, which we call the compressible Lamb vector. Mathematically, we present a theorem on the dynamic far-field decay law of the vorticity and dilatation fields, and thereby prove that the generalized Lamb vector enjoys exactly the same integral properties as the Lamb vector does in incompressible flow, and hence the vortex-force theory can be generalized to compressible flow with exactly the same general formulation. Moreover, for steady flow of polytropic gas, we show that physically the force exerted on a moving body by the gas consists of a transverse force produced by the original Lamb vector and a new longitudinal force that reflects the effects of compression and irreversible thermodynamics.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000345913500018&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mechanics; Physics, Fluids & Plasmas; SCI(E); EI; CPCI-S(ISTP); 3
语种	英语
DOI标识	10.1088/0169-5983/46/6/061417
内容类型	其他
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154156]
专题	工学院
推荐引用方式 GB/T 7714	Liu, L. Q.,Wu, J. Z.,Shi, Y. P.,et al. A dynamic counterpart of Lamb vector in viscous compressible aerodynamics. 2014-01-01.

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