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Numerical simulation of multiple steady and unsteady flow modes in a medium-gap spherical Couette flow
Abbas, Suhail1,2,3; Yuan, Li2,3; Shah, Abdullah4
2019
Source PublicationJOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
ISSN1678-5878
Volume41Issue:1Pages:14
AbstractWe study the multiple steady and unsteady flow modes in a medium-gap spherical Couette flow (SCF) by solving the three-dimensional incompressible Navier-Stokes equations. We have used an artificial compressibility method with an implicit line Gauss-Seidel scheme. The simulations are performed in SCF with only the inner sphere rotating. A medium-gap clearance ratio, sigma=(R-2 - R-1)/R-1=0.25, has been used to investigate various flow states in a range of Reynolds numbers, Re is an element of [400,6500]. First, we compute the 0-vortex basic flow directly from the Stokes flow as an initial condition. This flow exists up to Re=4900 after which it evolves into spiral 0-vortex flows with wavenumber s(p)=3,4 in the range Re[4900,6000], and then the flows become turbulent when Re>6000. Second, we obtain the steady 1-vortex flow by using the 1-vortex flow at Re=700 for sigma=0.18 as the initial conditions and found that it exists for Re[480,4300]. The 1-vortex flow becomes wavy 1-vortex in the range Re[4400,5000]. Further increasing the Reynolds number, we obtain new spiral waves of wavenumber sp=3 for Re[5000,6000]. The flow becomes turbulent when Re>6000. Third, we obtain the steady 2-vortex flow by using the 2-vortex flow at Re=900 for sigma=0.18 as the initial conditions and found that it exists for Re[700,1900]. With increasing Reynolds number the 2-vortex flow becomes partially wavy 2-vortex in the small range Re[1900,2100]. We obtain distorted spiral wavy 2-vortex in the range Re[4000,5000]. when Re>6000 the flow evolves into spiral 0-vortex flow and becomes turbulent. The present flow scenarios with increasing Re agree well with the experimental results and further we obtain new flow states for the 1-vortex and 2-vortex flows.
KeywordIncompressible Navier-Stokes equation WENO scheme Line Gauss-Seidel scheme Spherical Couette flow Spiral wavy Taylor vortex
DOI10.1007/s40430-018-1556-z
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 President's Fellowship Program
WOS Research AreaEngineering
WOS SubjectEngineering, Mechanical
WOS IDWOS:000455043100010
PublisherSPRINGER HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32141
Collection计算数学与科学工程计算研究所
Affiliation1.Karakorum Int Univ, Dept Math Sci, Gilgit, Pakistan
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China
4.COMSATS Univ, Dept Math, Islamabad, Pakistan
Recommended Citation
GB/T 7714
Abbas, Suhail,Yuan, Li,Shah, Abdullah. Numerical simulation of multiple steady and unsteady flow modes in a medium-gap spherical Couette flow[J]. JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING,2019,41(1):14.
APA Abbas, Suhail,Yuan, Li,&Shah, Abdullah.(2019).Numerical simulation of multiple steady and unsteady flow modes in a medium-gap spherical Couette flow.JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING,41(1),14.
MLA Abbas, Suhail,et al."Numerical simulation of multiple steady and unsteady flow modes in a medium-gap spherical Couette flow".JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING 41.1(2019):14.
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