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2018 Volume 27 Issue 2
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Hong-Yu Guo, Li-Feng Wang, Wen-Hua Ye, Jun-Feng Wu, Ying-Jun Li, Wei-Yan Zhang. 2018: Rayleigh-Taylor instability at spherical interfaces of incompressible fluids, Chinese Physics B, 27(2): 450-456. doi: 10.1088/1674-1056/27/2/025206
Citation: Hong-Yu Guo, Li-Feng Wang, Wen-Hua Ye, Jun-Feng Wu, Ying-Jun Li, Wei-Yan Zhang. 2018: Rayleigh-Taylor instability at spherical interfaces of incompressible fluids, Chinese Physics B, 27(2): 450-456. doi: 10.1088/1674-1056/27/2/025206
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Rayleigh-Taylor instability at spherical interfaces of incompressible fluids

  • Graduate School, China Academy of Engineering Physics, Beijing 100088, China;institute of Applied Physics and Computational Mathematics, Beijing 100094, China

  • institute of Applied Physics and Computational Mathematics, Beijing 100094, China;HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China

  • institute of Applied Physics and Computational Mathematics, Beijing 100094, China

  • State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China

  • Available Online: 01/01/2018
  • Fund Project: the National Natural Science Foundation of China(Grant .11275031,11475034,11575033,11574390,and 11274026)%the National Basic Research Program of China(Grant .2013CB834100 and 2013CBA01504)
  • 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 sphericalinterfaces 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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Rayleigh-Taylor instability at spherical interfaces of incompressible fluids

  • Available Online: 01/01/2018

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 sphericalinterfaces 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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