Rayleigh-Taylor instability at spherical interfaces of incompressiblefluids
Rayleigh-Taylor instability at spherical interfaces of incompressiblefluids
复制标题
不可压缩流体球形界面的瑞利-泰勒不稳定性
DOI：
10.1088/1674-1056/27/2/025206
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Wei-Yan Zhang
中科院分区：
文献类型：
--
作者：
Hong-Yu Guo;Li-Feng Wang;Wen-Hua Ye;Jun-Feng Wu;Ying-Jun Li;Wei-Yan Zhang
解析地推导了球面几何中三个具有两个界面的不可压缩流体的瑞利-泰勒不稳定性。导出了两个界面上的生长率和两个球界面之间的微扰馈通系数。对于低模扰动，外界面到内界面的馈通效应比相应的平面情形严重得多，而内界面到外界面的反馈比平面情形小。低模扰动导致球壳内界面上的RTI显著增长，其大于圆柱形和平面的结果。这是低模微扰的结果之间的RTI生长在球形和圆柱形的几何形状。当扰动的模数足够大时，恢复了圆柱几何中的结果。
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 severe than the corresponding planar case, while the feedback from inner interface to the outerinterface 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 moden umber of the perturbation is large enough, the results in cylindrical geometry are recovered..