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

doi:10.1007/s40430-018-1077-9

	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
	2018-03-01
发表期刊	JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
ISSN	1678-5878
卷号	40 期号:3 页码:15
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.
关键词	Spherical Couette flow Wide gap Symmetric Taylor vortices Asymmetric Taylor vortices
DOI	10.1007/s40430-018-1077-9
语种	英语
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
WOS类目	Engineering, Mechanical
WOS记录号	WOS:000428512000008
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30138
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.