The present study aims to establish a mathematical model for the stability analysis of a viscous compressible liquid jet in a homogeneous wind field, utilizing linear stability theory. Furthermore, the validity of the proposed mathematical model and its solution method are subsequently verified. The findings indicate that the homogeneous wind field exerts an equal influence on both the axisymmetric disturbance and the non-axisymmetric disturbance, with the latter being the predominant form of disturbance. The compressibility of the gas phase has a detrimental effect on the stability of jet flow, while the compressibility of the liquid phase has negligible impact on the stability of jet flow. The impact of a homogeneous wind field on jet stability is primarily manifested in two key dimensions. The presence of a tailwind field has the potential to enhance the stability of jets and impede the likelihood of splitting and atomization. The presence of the deadwind field has the potential to diminish the stability of the jet flow and facilitate the occurrence of splitting and atomization.

Gas-liquid two-phase flow is used to simulate double bubble collision process numerically with LES method, fluid volume method, crushing criterion and the third-generation vortex identification method. The single variable method is used to study the influence of bubble diameter ratio, relative eccentricity and relative distance between bubbles on the degree of bubble fragmentation. In the process of double bubble collision, the closer the diameter of the two bubbles is, the weaker the bubble breaking degree is. The relative eccentric distance has little effect on the bubble breaking degree. It shows that as the relative distance is less than 1, the bubble breaking degree is more obvious with the increase of the relative distance. As the relative distance is more than 1, the bubble breaking degree tends to be flat. It also shows that the third-generation vortex identification method captures the vortex position in the two-phase turbulent flow field well, and reflects sensitively the turbulent changes.