Ablative Rayleigh–Taylor instability with strong temperature dependence of the thermal conductivity
Ablative Rayleigh–Taylor instability with strong temperature dependence of the thermal conductivity
复制标题
烧蚀瑞利-泰勒不稳定性与热导率对温度的强烈依赖性
DOI：
10.1017/s0022112007005599
复制
发表时间：
2007
影响因子：
3.7
通讯作者：
J. Sanz
中科院分区：
文献类型：
--
作者：
C. Almarcha;P. Clavin;L. Duchemin;J. Sanz
本文对惯性约束核聚变中的瑞利-泰勒不稳定烧蚀锋进行了渐近分析，分析了热传导系数对温度的强依赖性。在领导阶的非线性分析导致一个自由边界问题，这是一个扩展的经典Rayleigh-Taylor不稳定性与单位阿特伍德数和一个额外的潜在流的密度可以忽略不计的垂直于前面。用边界积分法在二维几何中分析了锋面的非线性演化。锋面的形状在有限的时间内发展出曲率奇异性，如Kelvin-Helmholtz不稳定性的Birkhoff-Rott方程。
An asymptotic analysis of Rayleigh–Taylor unstable ablation fronts encountered in inertial confinement fusion is performed in the case of a strong temperature dependence of the thermal conductivity. At leading order the nonlinear analysis leads to a free boundary problem which is an extension of the classical Rayleigh–Taylor instability with unity Atwood number and an additional potential flow of negligible density expelled perpendicular to the front. The nonlinear evolution of the front is analysed in two-dimensional geometry by a boundary integral method. The shape of the front develops a curvature singularity within a finite time, as for the Birkhoff–Rott equation for the Kelvin–Helmholtz instability.