Existence regime of symmetric and asymmetric Taylor vortices in wide-gap spherical Couette flow

doi:10.1007/s40430-018-1077-9

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Existence regime of symmetric and asymmetric Taylor vortices in wide-gap spherical Couette flow
	Abbas, Suhail 1,2,3; Yuan, Li1,2,3 ; Shah, Abdullah 4
刊名	JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
	2018-03-01
卷号	40 期号:3 页码:15
关键词	Spherical Couette flow Wide gap Symmetric Taylor vortices Asymmetric Taylor vortices
ISSN号	1678-5878
DOI	10.1007/s40430-018-1077-9
英文摘要	We study the existence regime of symmetric and asymmetric Taylor vortices in wide-gap spherical Couette flow by time marching the three-dimensional incompressible Navier-Stokes equations numerically. Three wide-gap clearance ratios, beta = (R-2 - R-1)/R-1 = 0.33, 0.38 and 0.42 are investigated for a range of Reynolds numbers respectively. Using the 1-vortex flow for clearance ratio beta = 0.18 at Reynolds number Re = 700 as the initial conditions and suddenly increasing beta to the target value, we can compute Taylor vortices for the three wide gaps. For beta = 0: 33, Taylor vortices exist in the range 450 <= Re <= 2050. With increasing Re the steady symmetric 1-vortex flow becomes steady asymmetric at Re = 1850, and then become periodic at Re = 2000. When Re > 2050 the flow returns back to the steady basic flow state with no Taylor vortices. For beta = 0.38, Taylor vortices can exist in the range 500 <= Re <= 1400. With increasing Re, the steady symmetric 1-vortex flow become steady asymmetric at Re = 1200, and then the flow evolves into the steady basic flow for Re >1400. For beta = 0: 42, Taylor vortices can exist in the range 650 <= Re <= 1300. With increasing Re, steady asymmetric Taylor vortices occur at Re = 1150, and then the flow evolves into the steady basic flow for Re > 1300. The present numerical results are in good agreement with available numerical and experimental results. Furthermore, the existence regime of Taylor vortices in the (beta, Re) plane for beta >= 0.33 and the three-dimensional transition process from periodic asymmetric vortex flow to steady basic flow with increasing Re are presented for the first time.
资助项目	Natural Science Foundation of China[11321061] ; Natural Science Foundation of China[11261160486] ; Natural Science Foundation of China[91641107] ; Fundamental Research of Civil Aircraft[MJ-F-2012-04] ; CAS-TWAS
WOS研究方向	Engineering
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000428512000008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/30137]
专题	计算数学与科学工程计算研究所
通讯作者	Yuan, Li
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 4.COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
推荐引用方式 GB/T 7714	Abbas, Suhail,Yuan, Li,Shah, Abdullah. Existence regime of symmetric and asymmetric Taylor vortices in wide-gap spherical Couette flow[J]. JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING,2018,40(3):15.
APA	Abbas, Suhail,Yuan, Li,&Shah, Abdullah.(2018).Existence regime of symmetric and asymmetric Taylor vortices in wide-gap spherical Couette flow.JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING,40(3),15.
MLA	Abbas, Suhail,et al."Existence regime of symmetric and asymmetric Taylor vortices in wide-gap spherical Couette flow".JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING 40.3(2018):15.