中文摘要：

给出了高Bond数下黏性液滴表面Rayleigh-Taylor线性不稳定性的分析解，这种不稳定性对于超音速气流作用下液滴破碎的早期阶段起着至关重要的作用．基于稳定性分析的结果，导出了用于估算稳定液滴的最大直径及液滴无量纲初始破碎时间的计算式，这些计算式与相关文献给出的实验和分析结果比较显示了良好的一致．

英文摘要：

In this paper, an analytical solution is presented for the Rayleigh-Taylor instability of a viscous liquid drop at high Bond numbers. The instability plays an important role in the early stage of the aerodynamic breakup of liquid drops in a supersonic flow. Based on the analytical solution, the maximum size of a liquid drop stable with respect to Rayleigh-Taylor instability and the initiation time of drop breakup can be predicted. The predictions show good agreement with relevant experimental and analytical results from literature.