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 Simulation of spiral instabilities in wide-gap spherical Couette flow Abbas, Suhail1,2,3; Yuan, Li1,2,3; Shah, Abdullah4 2018-04-01 Source Publication FLUID DYNAMICS RESEARCH ISSN 0169-5983 Volume 50Issue:2Pages:17 Abstract We numerically study the wide-gap spherical Couette flow between two concentric spheres with the inner sphere rotating and the outer one stationary. Two wide-gap clearance ratios, beta = (R-2-R-1) / R-1 = 0.33 and 0.50, are chosen to investigate the transition scenarios of the spiral instabilities with increasing Reynolds number (Re). For beta = 0.33, we first obtain the steady 1-vortex flow at Re = 700 by using the 1-vortex flow for a medium gap beta = 0.18 at Re = 700 as the initial condition. The 1-vortex flow for beta = 0.33 exists for Re is an element of[450, 2050] and it collapses back to the basic flow when Re > 2050. We then detect spiral instabilities by increasing the Reynolds number gradually. The basic flow becomes unstable at Re-c1 = 2900 where spiral waves of wavenumber m = 6 appear first. Increasing the Reynolds number further, the wavenumber decreases to 5 and 4 at Re-c2 = 3000 and Re-c3 = 4000 respectively. The flow becomes turbulent when Re > 4500. For beta = 0.50, no Taylor vortices are found. The basic flow becomes unstable at Re-c1 = 1280 where spiral waves of wavenumber m - 5 occur first. As the Reynolds number is increased, the wavenumber becomes 4 at Re-c2 = 1700, 5 again at Re-c3 = 1800, 4 at Re-c4 = 2000, and becomes 3 at Re-c5 = 2200 while the flow becomes turbulent for Re > 2200. The computed rotational frequencies as a function of the Reynolds number for spiral waves of wavenumber m = 5, 4 and 3 are in good agreement with previous experimental results. The present transition scenario of the spiral wavenumber with increasing Reynolds number for beta = 0.33 is the same as that of Egbers and Rath (1995 Acta Mech. 111 125-40), while for b = 0.50, it is only partially similar to those of Wulf et al (1999 Phys. Fluids 11 1359-72) and Egbers and Rath (1995 Acta Mech. 111 125-40). Keyword spherical Couette flow wide gap Taylor vortex spiral wave DOI 10.1088/1873-7005/aa9d77 Language 英语 Funding Project Natural Science Foundation of China[11321061] ; Natural Science Foundation of China[11261160486] ; Natural Science Foundation of China[91641107] ; State Key Program for Developing Basic Sciences[2010CB731505] ; Fundamental Research of Civil Aircraft[MJ-F-2012-04] ; CAS-TWAS President's Fellowship Program WOS Research Area Mechanics ; Physics WOS Subject Mechanics ; Physics, Fluids & Plasmas WOS ID WOS:000423609400001 Publisher IOP PUBLISHING LTD Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/447 Collection 计算数学与科学工程计算研究所 Corresponding Author Yuan, Li Affiliation 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China4.COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan Recommended CitationGB/T 7714 Abbas, Suhail,Yuan, Li,Shah, Abdullah. Simulation of spiral instabilities in wide-gap spherical Couette flow[J]. FLUID DYNAMICS RESEARCH,2018,50(2):17. APA Abbas, Suhail,Yuan, Li,&Shah, Abdullah.(2018).Simulation of spiral instabilities in wide-gap spherical Couette flow.FLUID DYNAMICS RESEARCH,50(2),17. MLA Abbas, Suhail,et al."Simulation of spiral instabilities in wide-gap spherical Couette flow".FLUID DYNAMICS RESEARCH 50.2(2018):17.
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