Lower bound for transient growth of inclined buoyancy layer

doi:10.1007/s10483-017-2202-8

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	Lower bound for transient growth of inclined buoyancy layer
	Xiong, Xiangming ; Tao, Jianjun
刊名	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
	2017
关键词	natural convection boundary layer energy method transient growth ENERGY STABILITY CHANNEL FLOWS PIPES
DOI	10.1007/s10483-017-2202-8
英文摘要	The relationship between stabilities of the buoyancy boundary layers along an inclined plate and a vertical plate immersed in a stratified medium is studied theoretically and numerically. The eigenvalue problem of energy stability is solved with the method of descending exponentials. The disturbance energy is found to be able to grow to 11.62 times as large as the initial disturbance energy for P (r) = 0.72 when the Grashof number is between the critical Grashof numbers of the energy stability and the linear stability. We prove that, with a weighted energy method, the basic flow of the vertical buoyancy boundary layer is stable to finite-amplitude streamwise-independent disturbances.; National Natural Science Foundation of China [11225209, 11490553, 11521091]; SCI(E); ARTICLE; 6; 779-796; 38
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/473198]
专题	工学院
推荐引用方式 GB/T 7714	Xiong, Xiangming,Tao, Jianjun. Lower bound for transient growth of inclined buoyancy layer[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2017.
APA	Xiong, Xiangming,&Tao, Jianjun.(2017).Lower bound for transient growth of inclined buoyancy layer.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION.
MLA	Xiong, Xiangming,et al."Lower bound for transient growth of inclined buoyancy layer".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION (2017).