A simplified approximate analytical model for Rayleigh-Taylor instability in elastic-plastic solid and viscous fluid with thicknesses

• 作者: Xi Wang Xiao-Mian Hu Sheng-Tao Wang Hao Pan
• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2021,（4）
• 所属期刊栏目: ELECTROMAGNETISM,OPTICS,ACOUSTICS,HEAT TRANSFER,CLASSICAL MECHANICS,AND FLUID DYNAMICS
• 页码范围: 387-396
• 页数: 10页
• 语种: 英文
• DOI: 10.1088/1674-1056/abcf44

摘要

A simplified theoretical model for the linear Rayleigh-Taylor instability of finite thickness elastic-plastic solid con-stantly accelerated by finite thickness viscous fluid is performed.With the irrotational assumption,it is possible to consider viscosity,surface tension,elasticity or plasticity effects simultaneously.The model considers thicknesses at rigid wall boundary conditions with the velocity potentials,and deals with solid elastic-plastic transition and fluid viscosity based on the velocity continuity and force equilibrium at contact interface.The complete analytical expressions of the amplitude mo-tion equation,the growth rate,and the instability boundary are obtained for arbitrary Atwood number,viscosity,thicknesses of solid and fluid.The thicknesses effects of two materials on the growth rate and the instability boundary are discussed.