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Bell-Plessett effect on harmonic evolution of spherical Rayleigh-Taylor instability in weakly nonlinear scheme for arbitrary Atwood numbers
Liu WH; Yu ZP(于长平); Jiang HB; Li XL(李新亮); Yu, CP; Li, XL (reprint author), Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China.; Li, XL (reprint author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China.
Source PublicationPHYSICS OF PLASMAS
2017-02-01
Volume24Issue:2
ISSN1070-664X
AbstractBased on the harmonic analysis [Liu et al. Phys. Plasmas 22 112112 (2015)] the analytical investigation on the harmonic evolution in Rayleigh-Taylor instability (RTI) at a spherical interface has been extended to the general case of arbitrary Atwood numbers by using the method of the formal perturbation up to the third order in a small parameter. Our results show that the radius of the initial interface [i.e. Bell-Plessett (BP) effect] dramatically influences the harmonic evolution for arbitrary Atwood numbers. When the initial radius approaches infinity compared against the initial perturbation wavelength the amplitudes of the first four harmonics will recover those in planar RTI. The BP effect makes the amplitudes of the zeroth second and third harmonics increase faster for a larger Atwood number than smaller one. The BP effect reduces the third-order negative feedback to the fundamental mode for a smaller Atwood number and strengthens it for a larger one. Hence the BP effect helps the fundamental mode grow faster for a smaller Atwood number. Published by AIP Publishing.
DOI10.1063/1.4973835
Indexed BySCI ; EI
Language英语
WOS IDWOS:000396012900008
WOS KeywordRICHTMYER-MESHKOV INSTABILITIES ; GROWTH ; IGNITION ; FUSION ; SHELLS ; MODE ; NOVA
WOS Research AreaPhysics
WOS SubjectPhysics, Fluids & Plasmas
Funding OrganizationNational Natural Science Foundation of China(11472278 ; National Key Research and Development Program of China(2016YFA0401200) ; Scientific Research Foundation of Mianyang Normal University(QD2014A009) ; National High-Tech ICF Committee ; 11372330)
DepartmentLHD可压缩湍流
Classification一类/力学重要期刊
Ranking1
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/60572
Collection高温气体动力学国家重点实验室
Corresponding AuthorYu, CP; Li, XL (reprint author), Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China.; Li, XL (reprint author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China.
Recommended Citation
GB/T 7714
Liu WH,Yu ZP,Jiang HB,et al. Bell-Plessett effect on harmonic evolution of spherical Rayleigh-Taylor instability in weakly nonlinear scheme for arbitrary Atwood numbers[J]. PHYSICS OF PLASMAS,2017,24(2).
APA Liu WH.,于长平.,Jiang HB.,李新亮.,Yu, CP.,...&Li, XL .(2017).Bell-Plessett effect on harmonic evolution of spherical Rayleigh-Taylor instability in weakly nonlinear scheme for arbitrary Atwood numbers.PHYSICS OF PLASMAS,24(2).
MLA Liu WH,et al."Bell-Plessett effect on harmonic evolution of spherical Rayleigh-Taylor instability in weakly nonlinear scheme for arbitrary Atwood numbers".PHYSICS OF PLASMAS 24.2(2017).
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