Bell-Plessett effect on harmonic evolution of spherical Rayleigh-Taylor instability in weakly nonlinear scheme for arbitrary Atwood numbers

doi:10.1063/1.4973835

	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.
发表期刊	PHYSICS OF PLASMAS
	2017-02-01
卷号	24 期号:2
ISSN	1070-664X
摘要	Based 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.
DOI	10.1063/1.4973835
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000396012900008
关键词[WOS]	RICHTMYER-MESHKOV INSTABILITIES ; GROWTH ; IGNITION ; FUSION ; SHELLS ; MODE ; NOVA
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas
项目资助者	National 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)
课题组名称	LHD可压缩湍流
论文分区	一类/力学重要期刊
力学所作者排名	1
引用统计	被引频次：4[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/60572
专题	高温气体动力学国家重点实验室
通讯作者	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.
推荐引用方式 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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