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	Competition of the multiple Grtler modes in hypersonic boundary layer flows
	REN Jie ; FU Song ; REN Jie ; FU Song
	2016-03-30 ; 2016-03-30
关键词	Grtler vortices linear stability theory multiple modes local analysis marching analysis O354.3
其他题名	Competition of the multiple Grtler modes in hypersonic boundary layer flows
中文摘要	Competition of multiple Grtler modes in hypersonic boundary layer flows are investigated with the local and marching methods.The wall-layer mode(mode W)and the trapped-layer mode(mode T)both occur in the compressible boundary layer where there exists a temperature adjustment layer near the upper edge.The mode T has the largest growth rate at a lower Grtler number while the mode W dominates at larger Grtler numbers.These two modes are both responsible for the flow transition in the hypersonic flows especially when Grtler number is in the high value range in which the crossover of these two modes takes place.Such high Grtler numbers are virtually far beyond the neutral regime.The nonparallel base flows,therefore,cease to influence the stability behavior of the Grtler modes.The effects of the Mach number on the multiple Grtler modes are studied within a chosen Mach number of 0.95,2,4 and 6.When the flow Mach number is sufficiently large,e.g.,Ma 4,the growth rate crossover of the mode T and mode W occurs both in the conventional G-βmap as well as on the route downstream for a fixed wavelength disturbance.Four particular regions(Region T,T-W,W-T and W)around the crossover point are highlighted with the marching analysis and the result matches that of the local analysis.The initial disturbance of a normal mode maintains the shape in its corresponding dominating region while a shape-transformation occurs outside this region.; Competition of multiple Grtler modes in hypersonic boundary layer flows are investigated with the local and marching methods. The wall-layer mode(mode W) and the trapped-layer mode(mode T) both occur in the compressible boundary layer where there exists a temperature adjustment layer near the upper edge. The mode T has the largest growth rate at a lower Grtler number while the mode W dominates at larger Grtler numbers. These two modes are both responsible for the flow transition in the hypersonic flows especially when Grtler number is in the high value range in which the crossover of these two modes takes place. Such high Grtler numbers are virtually far beyond the neutral regime. The nonparallel base flows,therefore,cease to influence the stability behavior of the Grtler modes. The effects of the Mach number on the multiple Grtler modes are studied within a chosen Mach number of 0.95,2,4 and 6. When the flow Mach number is sufficiently large,e.g.,Ma 4,the growth rate crossover of the mode T and mode W occurs both in the conventional G-β map as well as on the route downstream for a fixed wavelength disturbance. Four particular regions(Region T,T-W,W-T and W) around the crossover point are highlighted with the marching analysis and the result matches that of the local analysis. The initial disturbance of a normal mode maintains the shape in its corresponding dominating region while a shape-transformation occurs outside this region.
语种	英语 ; 英语
内容类型	期刊论文
源URL	[http://ir.lib.tsinghua.edu.cn/ir/item.do?handle=123456789/143737]
专题	清华大学
推荐引用方式 GB/T 7714	REN Jie,FU Song,REN Jie,et al. Competition of the multiple Grtler modes in hypersonic boundary layer flows[J],2016, 2016.
APA	REN Jie,FU Song,REN Jie,&FU Song.(2016).Competition of the multiple Grtler modes in hypersonic boundary layer flows..
MLA	REN Jie,et al."Competition of the multiple Grtler modes in hypersonic boundary layer flows".(2016).

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