中国物理B ›› 2022, Vol. 31 ›› Issue (12): 120401-120401.doi: 10.1088/1674-1056/ac8924

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Magnetohydrodynamic Kelvin-Helmholtz instability for finite-thickness fluid layers

Hong-Hao Dai(戴鸿昊)1,2, Miao-Hua Xu(徐妙华)2, Hong-Yu Guo(郭宏宇)1,2,†, Ying-Jun Li(李英骏)1,2,3,‡, and Jie Zhang(张杰)4   

  1. 1 State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China;
    2 School of Science, China University of Mining and Technology, Beijing 100083, China;
    3 Double-cone Ignition(DCI) Joint Team, China University of Mining and Technology, Beijing 100083, China;
    4 Double-cone Ignition(DCI) Joint Team, Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2022-07-19 修回日期:2022-08-01 接受日期:2022-08-12 出版日期:2022-11-11 发布日期:2022-11-21
  • 通讯作者: Hong-Yu Guo, Ying-Jun Li E-mail:ghy@cumtb.edu.cn;lyj@aphy.iphy.ac.cn
  • 基金资助:
    Project supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant Nos. XDA25051000 and XDA25010100) and the Fundamental Research Funds for the Central Universities (Grant No. 2022YQLX01).

Magnetohydrodynamic Kelvin-Helmholtz instability for finite-thickness fluid layers

Hong-Hao Dai(戴鸿昊)1,2, Miao-Hua Xu(徐妙华)2, Hong-Yu Guo(郭宏宇)1,2,†, Ying-Jun Li(李英骏)1,2,3,‡, and Jie Zhang(张杰)4   

  1. 1 State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China;
    2 School of Science, China University of Mining and Technology, Beijing 100083, China;
    3 Double-cone Ignition(DCI) Joint Team, China University of Mining and Technology, Beijing 100083, China;
    4 Double-cone Ignition(DCI) Joint Team, Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2022-07-19 Revised:2022-08-01 Accepted:2022-08-12 Online:2022-11-11 Published:2022-11-21
  • Contact: Hong-Yu Guo, Ying-Jun Li E-mail:ghy@cumtb.edu.cn;lyj@aphy.iphy.ac.cn
  • Supported by:
    Project supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant Nos. XDA25051000 and XDA25010100) and the Fundamental Research Funds for the Central Universities (Grant No. 2022YQLX01).

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摘要： We have derived the analytical formulas for the Kelvin-Helmholtz instability (KHI) of two superposed finite-thickness fluid layers with the magnetic field effect into consideration. The linear growth rate of KHI will be reduced when the thickness of the fluid with large density is decreased or the thickness of fluid with small density is increased. When the thickness and the magnetic field act together on the KHI, the effect of thickness is more obvious when the magnetic field intensity is weak. The magnetic field transition layer destabilizes (enforces) the KHI, especially in the case of small thickness of the magnetic field transition layer. When considering the effect of magnetic field, the linear growth rate of KHI always decreases after reaching the maximum with the increase of total thickness. The stronger the magnetic field intensity is, the more obvious the growth rate decreases with the total thickness. Thus, it should be included in applications where the effect of fluid thickness on the KHI cannot be ignored, such as in double-cone ignition scheme for inertial confinement fusion.

关键词: finite-thickness, Kelvin-Helmholtz instability, magnetohydrodynamic, inertial confinement fusion

Abstract: We have derived the analytical formulas for the Kelvin-Helmholtz instability (KHI) of two superposed finite-thickness fluid layers with the magnetic field effect into consideration. The linear growth rate of KHI will be reduced when the thickness of the fluid with large density is decreased or the thickness of fluid with small density is increased. When the thickness and the magnetic field act together on the KHI, the effect of thickness is more obvious when the magnetic field intensity is weak. The magnetic field transition layer destabilizes (enforces) the KHI, especially in the case of small thickness of the magnetic field transition layer. When considering the effect of magnetic field, the linear growth rate of KHI always decreases after reaching the maximum with the increase of total thickness. The stronger the magnetic field intensity is, the more obvious the growth rate decreases with the total thickness. Thus, it should be included in applications where the effect of fluid thickness on the KHI cannot be ignored, such as in double-cone ignition scheme for inertial confinement fusion.

Key words: finite-thickness, Kelvin-Helmholtz instability, magnetohydrodynamic, inertial confinement fusion

中图分类号:  (Gravitational-wave astrophysics)

  • 04.30.Tv
47.20.Ft (Instability of shear flows (e.g., Kelvin-Helmholtz)) 52.30.Cv (Magnetohydrodynamics (including electron magnetohydrodynamics))