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Existence regime of symmetric and asymmetric Taylor vortices in wide-gap spherical Couette flow
Abbas, Suhail1,2,3; Yuan, Li1,2,3; Shah, Abdullah4
2018-03-01
Source PublicationJOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
ISSN1678-5878
Volume40Issue:3Pages:15
AbstractWe 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.
KeywordSpherical Couette flow Wide gap Symmetric Taylor vortices Asymmetric Taylor vortices
DOI10.1007/s40430-018-1077-9
Language英语
Funding ProjectNatural 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 Research AreaEngineering
WOS SubjectEngineering, Mechanical
WOS IDWOS:000428512000008
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30138
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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