Simulation of spiral instabilities in wide-gap spherical Couette flow

doi:10.1088/1873-7005/aa9d77

	Simulation of spiral instabilities in wide-gap spherical Couette flow
	Abbas, Suhail 1,2,3; Yuan, Li1,2,3 ; Shah, Abdullah 4
	2018-04-01
发表期刊	FLUID DYNAMICS RESEARCH
ISSN	0169-5983
卷号	50 期号:2 页码:17
摘要	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).
关键词	spherical Couette flow wide gap Taylor vortex spiral wave
DOI	10.1088/1873-7005/aa9d77
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] ; State Key Program for Developing Basic Sciences[2010CB731505] ; Fundamental Research of Civil Aircraft[MJ-F-2012-04] ; CAS-TWAS President's Fellowship Program
WOS研究方向	Mechanics ; Physics
WOS类目	Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000423609400001
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/447
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. 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.