Rayleigh–Taylor instability at spherical interfaces of incompressible fluids

Rayleigh–Taylor instability（RTI） of three incompressible fluids with two interfaces in spherical geometry is derived analytically. The growth rate on the two interfaces and the perturbation feedthrough coefficients between two spherical interfaces are derived. For low-mode perturbation, the feedthro...

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Published inChinese physics B Vol. 27; no. 2; pp. 450 - 456
Main Author 郭宏宇;王立锋;叶文华;吴俊峰;李英骏;张维岩
Format Journal Article
LanguageEnglish
Published 01.02.2018
Subjects
Rayleigh;外部接口;不可压缩;不稳定性;球形;液体;泰勒;几何学
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Abstract Rayleigh–Taylor instability（RTI） of three incompressible fluids with two interfaces in spherical geometry is derived analytically. The growth rate on the two interfaces and the perturbation feedthrough coefficients between two spherical interfaces are derived. For low-mode perturbation, the feedthrough effect from outer interface to inner interface is much more severe than the corresponding planar case, while the feedback from inner interface to the outer interface is smaller than that in planar geometry. The low-mode perturbations lead to the pronounced RTI growth on the inner interface of a spherical shell that are larger than the cylindrical and planar results. It is the low-mode perturbation that results in the difference between the RTI growth in spherical and cylindrical geometry. When the mode number of the perturbation is large enough, the results in cylindrical geometry are recovered.
AbstractList Rayleigh–Taylor instability（RTI） of three incompressible fluids with two interfaces in spherical geometry is derived analytically. The growth rate on the two interfaces and the perturbation feedthrough coefficients between two spherical interfaces are derived. For low-mode perturbation, the feedthrough effect from outer interface to inner interface is much more severe than the corresponding planar case, while the feedback from inner interface to the outer interface is smaller than that in planar geometry. The low-mode perturbations lead to the pronounced RTI growth on the inner interface of a spherical shell that are larger than the cylindrical and planar results. It is the low-mode perturbation that results in the difference between the RTI growth in spherical and cylindrical geometry. When the mode number of the perturbation is large enough, the results in cylindrical geometry are recovered.
Author 郭宏宇;王立锋;叶文华;吴俊峰;李英骏;张维岩
AuthorAffiliation Graduate School, China Academy of Engineering Physics, Bcijing 100088, China;Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China;State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China
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Notes Hong-Yu Guo1,2, Li-Feng Wang2,3, Wen-Hua Ye2,3, Jun-Feng Wu2, Ying-Jun Li4, and Wei-Yan Zhang2,3（ 1 Graduate School, China Academy of Engineering Physics, Bcijing 100088, China 2Institute of Applied Physics and Computational Mathematics, Beijing 100094, China 3 HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China 4State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China）
Rayleigh–Taylor instability spherical geometry inertial confinement fusion
Rayleigh–Taylor instability（RTI） of three incompressible fluids with two interfaces in spherical geometry is derived analytically. The growth rate on the two interfaces and the perturbation feedthrough coefficients between two spherical interfaces are derived. For low-mode perturbation, the feedthrough effect from outer interface to inner interface is much more severe than the corresponding planar case, while the feedback from inner interface to the outer interface is smaller than that in planar geometry. The low-mode perturbations lead to the pronounced RTI growth on the inner interface of a spherical shell that are larger than the cylindrical and planar results. It is the low-mode perturbation that results in the difference between the RTI growth in spherical and cylindrical geometry. When the mode number of the perturbation is large enough, the results in cylindrical geometry are recovered.
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Snippet Rayleigh–Taylor instability（RTI） of three incompressible fluids with two interfaces in spherical geometry is derived analytically. The growth rate on the two...
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SubjectTerms Rayleigh;外部接口;不可压缩;不稳定性;球形;液体;泰勒;几何学
Title Rayleigh–Taylor instability at spherical interfaces of incompressible fluids
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